­­FIN301 Class Web Page, Spring ' 25

Instructor: Maggie Foley

Jacksonville University

 

The Syllabus    PDF file     Risk Tolerance Test (FYI)     Term Project Guidelines        Grade Calculator

 

 

Weekly SCHEDULE, LINKS, FILES and Questions

Chapter

Coverage, HW, Supplements

-       Required

References

 

 

Marketwatch Stock Trading Game (Pass code: havefun)

 
1. Use the information and directions below to join the game.

1.      URL for your game: 
 https://www.marketwatch.com/game/fin301-25spring   

 

2.    Password for this private game: havefun

3.      Click on the 'Join Now' button to get started.

·        If you are an existing MarketWatch member, login. If you are a new user, follow the link for a Free account - it's easy!

·        Follow the instructions and start trading!

 

3. Risk Tolerance Test (FYI)

 

4.     Mutual Fund Selection Game (FYI)

 

 

5.     Order Type Explained Game (FYI)

 

 

 

How To Win The MarketWatch Stock Market Game (youtube, FYI) – finviz example

 

How Short Selling Works (Short Selling for Beginners) (youtube, FYI)

 

 

image001.jpg

 

 

Chapter  1: Introduction

 

ppt

 

 

 Note:

Flow of funds describes the financial assets flowing from various sectors through financial intermediaries for the purpose of buying physical or financial assets.

*** Household, non-financial business, and our government

 

Financial institutions facilitate exchanges of funds and financial products.

*** Building blocks of a financial system. Passing and transforming funds and risks during transactions.

*** Buy and sell, receive and deliver, and create and underwrite financial products.

*** The transferring of funds and risk is thus created. Capital utilization for individual and for the whole economy is thus enhanced.

 

 

Part 1 - Who Wants to Chair the Fed?   Quiz 1

 

Gamehttps://lewis500.github.io/macro/

 

The Federal Reserve (Fed) often faces the challenging dilemma of balancing economic growth with price stability - commonly referred to as the trade-off between controlling inflation and minimizing unemployment.

1. Inflation vs. Unemployment

  • Raising Interest Rates: Helps control inflation by slowing down spending and investment. However, this can increase unemployment as businesses cut back on hiring or production.
  • Lowering Interest Rates: Boosts economic growth and reduces unemployment by encouraging spending and investment. However, it can lead to rising inflation if demand outpaces supply.

2. Long-term Stability vs. Short-term Relief

  • The Fed must make decisions that sometimes prioritize long-term economic health (e.g., curbing inflation) over short-term relief for the economy (e.g., reducing unemployment), or vice versa.

3. Uncertainty and Lag Effects

  • Monetary policy decisions take time to affect the economy, making it hard to predict their full impact.
  • External factors, such as global economic conditions or supply shocks, add to the complexity.

In the game, you play as the Fed chair and must make interest rate decisions to strike this delicate balance while keeping inflation and unemployment within acceptable ranges. Success depends on how well you manage these competing goals over time.

Factors to Consider:

1.     Current Inflation Rate:

    • Is inflation above or below the Fed’s target (usually 2%)?
    • Lowering interest rates could worsen inflation if it's already too high.

2.     Unemployment Rate:

    • Is unemployment high? If so, a rate cut might stimulate job creation and economic activity.

3.     Economic Growth:

    • Is the economy slowing down? If GDP growth is sluggish or negative, lowering interest rates can help boost investment and spending.

4.     Consumer and Business Confidence:

    • Are businesses and consumers optimistic about the future? A rate cut might encourage more borrowing and spending if confidence is low.

5.     Financial Market Conditions:

    • Are financial markets signaling distress? A lower interest rate could stabilize markets by making borrowing cheaper.

6.     Global Economic Trends:

    • Are there external pressures, such as a global slowdown or trade disruptions, that might justify lowering rates to cushion the economy?

7.     Lag Effects of Monetary Policy:

    • How quickly will the rate cut affect the economy? Policy changes take time, so we should consider the timing of their decision.

8.     Federal Reserves Dual Mandate:

    • The Fed is tasked with promoting maximum employment and stable prices. Which goal is more at risk currently?

In-Class Debate: Should the Fed Reduce Interest Rates Soon, or Is It Better to Wait?

  • Support your decision with evidence based on the factors above.
  • Play the game to help decide.

The next Federal Open Market Committee (FOMC) meeting is scheduled for January 2829, 2025. Let’s wait and see what unfolds leading up to this critical decision.

 

 

Chapter 2 Introduction of Financial Market

 

ppt     quiz 2

 

1.     What are the six parts of the financial markets

Money:

·       To pay for purchases and store wealth (fiat money, fiat currency)

Financial Instruments:

·       To transfer resources from savers to investors and to transfer risk to those best equipped to bear it.  

Financial Markets:

·       Buy and sell financial instruments

·       Channel funds from savers to investors, thereby promoting economic efficiency

·       Affect personal wealth and behavior of business firms. Example?

Financial Institutions.

·       Provide access to financial markets, collect information & provide services

·       Financial Intermediary: Helps get funds from savers to investors

Central Banks

·       Monitor financial Institutions and stabilize the economy

Regulatory Agencies

·       To provide oversight for financial system.

 

2.     What are the five core principals of finance

  • Time has value
  • Risk requires compensation
  • Information is the basis for decisions
  • Markets determine prices  and allocation resources
  • Stability improves welfare

 

 

 

No homework for chapters 1, 2

The Implications of Trump's Return on U.S. Trade Policy: Will Tariffs and Trade Wars Resurface? (FYI)

 

Background

Trump's presidency (2017-2021) featured aggressive trade policies, including significant tariffs on China and other trading partners, renegotiations of trade agreements, and discussions about protecting American manufacturing through quotas and tariffs.

 

 

 

Industry

Impact of Tariff

Jobs

Cost of Living

Availability of Goods

Automotive

Tariffs on imported cars or car parts increase production costs.

o   Potential job growth in U.S. car manufacturing.

o    Cars become more expensive due to higher production and import costs.

o   Fewer car options for consumers, especially for foreign brands.

o   - Job losses in assembly plants dependent on imports.

Technology

Tariffs on electronics (e.g., phones, laptops) increase prices for imported components and products.

·        May encourage domestic tech manufacturing, creating new jobs.

·       Higher prices for electronics like smartphones and laptops.

·       Slower availability of new tech or limited models due to disrupted global supply chains.

·        Job losses in export-dependent sectors.

Agriculture

Tariffs on imports like fruits, vegetables, and grains benefit U.S. farmers but lead to retaliation abroad.

o   Job growth in domestic farming.

o   Food prices increase (e.g., fruits, vegetables, meat) due to higher import costs or reduced supply.

o   Seasonal produce may become scarce without imported goods.

o   Job losses in export-heavy states if foreign markets retaliate.

Steel & Aluminum

Tariffs on steel and aluminum imports protect U.S. industries but increase input costs for manufacturers.

·       Job creation in steel and aluminum production.

·       Higher prices for goods like cars, appliances, and construction materials.

·       Domestic materials may meet demand, but global quality or price competition decreases.

·       Job losses in industries that use steel (e.g., construction).

Textiles & Apparel

Tariffs on imported clothes and fabrics raise production costs for retailers.

o   Some job growth in U.S. textile production.

o   Clothes and shoes become more expensive, especially for foreign brands.

o   Fewer affordable clothing options for budget-conscious consumers.

o   Retailers may downsize due to higher costs.

Pharmaceuticals

Tariffs on medicine ingredients from abroad increase drug manufacturing costs.

·       Minimal direct impact on jobs; limited reshoring possible due to high costs.

·       Higher prices for essential medicines, potentially unaffordable for low-income households.

·       Slower production and potential shortages of life-saving drugs.

Energy (Oil & Gas)

Tariffs on imported crude oil or equipment for renewable energy increase domestic production costs.

o   Job growth in U.S. oil and gas extraction.

o   Higher energy costs (e.g., gas, electricity) due to increased input costs.

o   Renewable energy projects may be delayed, reducing clean energy options.

o   Potential slowdown in renewable energy projects.

Consumer Goods

Tariffs on items like furniture, appliances, and toys raise retail prices.

·       Few new jobs created, as these goods are often not manufactured domestically.

·       Significant price hikes for everyday items, burdening consumers.

·       Limited options for foreign brands; delays in availability of popular goods.

Luxury Goods

Tariffs on imported cars, wine, cheese, or designer goods impact high-end consumers and businesses.

o   Minimal impact on jobs, as luxury production is already niche.

o   Luxury items become much more expensive (e.g., European cars, wines, and fashion).

o   Reduced availability of high-end imported goods.

 

Key Insights

1.     Jobs:

    • Tariffs generally boost domestic jobs in industries like steel, aluminum, and farming.
    • Export-dependent industries (e.g., agriculture, tech) face potential job losses due to retaliation.

2.     Cost of Living:

·       Prices rise for everyday goods (e.g., food, clothes, electronics) when tariffs increase import costs.

·       Higher energy costs can have widespread effects across industries.

3.     Availability of Goods:

·       Imported goods (e.g., seasonal produce, luxury cars, and tech gadgets) may become limited or delayed.

·       Domestic alternatives might not match global competition in terms of quality, price, or innovation.

 

Now, let’s work on this survey about tariffs. Tariff Survey

 

Game: Tariff Trade Simulation   A simple game

 

What Determines the Strength of the US Dollar? (self-produced video)

 

 

 

 

Swiss franc carry trade comes fraught with safe-haven rally risk (FYI)

By Harry Robertson

September 2, 20241:03 AM EDTUpdated 5 months ago

https://www.reuters.com/markets/currencies/swiss-franc-carry-trade-comes-fraught-with-safe-haven-rally-risk-2024-09-02/

 

 

LONDON, Sept 2 (Reuters) - As investors turn to the Swiss franc as an alternative to Japan's yen to fund carry trades, the risk of the currency staging one of its rapid rallies remains ever present.

The Swiss franc has long been used in the popular strategy where traders borrow currencies with low interest rates then swap them into others to buy higher-yielding assets.

Its appeal has brightened further as the yen's has dimmed. Yen carry trades imploded in August after the currency rallied hard on weak U.S. economic data and a surprise Bank of Japan rate hike, helping spark global market turmoil.

 

The Swiss National Bank (SNB) was the first major central bank to kick off an easing cycle earlier this year and its key interest rate stands at 1.25%, allowing investors to borrow francs cheaply to invest elsewhere.

By comparison, interest rates are in a 5.25%-5.50% range in the United States, 5% in Britain, and 3.75% in the euro zone.

"The Swiss franc is back as a funding currency," said Benjamin Dubois, global head of overlay management at Edmond de Rothschild

 

STABILITY

The franc is near its highest in eight months against the dollar and in nine years against the euro , reflecting its status as a safe-haven currency and expectations for European and U.S. rate cuts.

But investors hope for a gradual decline in the currency's value that could boost the returns on carry trades.

Speculators have held on to a $3.8 billion short position against the Swiss franc even as they have abruptly moved to a $2 billion long position on the yen , U.S. Commodity Futures Trading Commission data shows.

 

"There is more two-way risk now in the yen than there has been for quite some time," said Bank of America senior G10 FX strategist Kamal Sharma. "The Swiss franc looks the more logical funding currency of choice."

BofA recommends investors buy sterling against the franc , arguing the pound can rally due to the large interest rate gap between Switzerland and Britain, in a call echoed by Goldman Sachs.

 

The SNB appears set to cut rates further in the coming months as inflation dwindles. That would lower franc borrowing costs and could weigh on the currency, making it cheaper to pay back for those already borrowing it.

Central bankers also appear reluctant to see the currency strengthen further, partly because of the pain it can cause exporters. BofA and Goldman Sachs say they believe the SNB stepped in to weaken the currency in August.

"The SNB will likely guard against currency appreciation through intervention or rate cuts as required," said Goldman's G10 currency strategist Michael Cahill.

 

'INHERENTLY RISKY'

Yet the Swissie, as it is known in currency markets, can be an unreliable friend.

Investors are prone to pile into the currency when they get nervous, thanks to its long-standing safe-haven reputation.

Cahill said the franc is best used as a funding currency at moments when investors are feeling optimistic.

A quick rally in the currency used to fund carry trades can wipe out gains and cause investors to rapidly unwind their positions, as the yen drama showed. High levels of volatility or a drop in the higher-yielding currency can have the same effect.

The SNB and Swiss regulator Finma declined to comment when asked by Reuters about the impact of carry trades on the Swiss currency.

As stock markets tumbled in early August, the Swiss franc jumped as much as 3.5% over two days. The franc-dollar pair has proven sensitive to the U.S. economy, often rallying hard on weak data that causes U.S. Treasury yields to fall.

 

"Any carry trade is inherently risky and this is particularly true for those funded with safe-haven currencies," said Michael Puempel, FX strategist at Deutsche Bank.

"The main risk is that when yields move lower in a risk-off environment, yield differentials compress and the Swiss franc can rally," Puempel added.

A gauge of how much investors expect the Swiss currency to move , derived from options prices, is currently at around its highest since March 2023.

"Considering the central banks, you can see how there may be more sentiment for some carry players to prefer the franc over the yen," said Nathan Vurgest, head of trading at Record Currency Management.

"The ultimate success of this carry trade might still be dependent on how quickly it can be closed in a risk-off scenario," Vurgest said, referring to a moment where investors cut their riskier trades to focus on protecting their cash.

Get the latest news and expert analysis about the state of the global economy with the Reuters Econ World newsletter. Sign up here.

Reporting by Harry Robertson; Editing by Dhara Ranasinghe and Alexander Smith

 

Key Insights from the Article:

1.     Swiss Franc as a Funding Currency:

    • The Swiss franc has gained popularity as a funding currency for carry trades due to its low-interest rate (1.25%), particularly as the yen has become less favorable after recent volatility and a surprise rate hike by the Bank of Japan.

2.     Carry Trade Dynamics:

    • Investors borrow currencies with low interest rates (e.g., the Swiss franc) and invest in higher-yielding currencies like the British pound or U.S. dollar.
    • The attractiveness of the Swiss franc is tied to its low borrowing costs and the potential for a gradual decline in its value.

3.     Safe-Haven Risks:

    • The Swiss franc's safe-haven status introduces risk for carry trades. In times of market stress, investors flock to the franc, causing it to rally and potentially wiping out carry trade gains.
    • This was evident when the franc jumped 3.5% over two days in early August during stock market turmoil.

4.     Central Bank Influence:

    • The Swiss National Bank (SNB) is expected to cut rates further, which could lower borrowing costs for the franc and make it cheaper for carry trades.
    • The SNB appears to actively intervene in the currency market to prevent excessive appreciation, supporting exporters and stabilizing the economy.

5.     Strategist Views:

    • Bank of America and Goldman Sachs favor the Swiss franc as a funding currency over the yen due to reduced volatility and predictability.
    • BofA and Goldman Sachs recommend buying higher-yielding currencies like sterling against the franc to benefit from interest rate differentials.

6.     Risks of Swiss Franc Carry Trades:

    • Sudden rallies in the franc (often triggered by safe-haven demand or weak U.S. data) pose significant risks to carry trades.
    • Yield compression in risk-off scenarios can amplify losses for traders.

7.     Investor Sentiment:

    • The success of Swiss franc carry trades depends on investor optimism and the ability to close trades quickly during market stress.
    • Volatility expectations for the franc are currently elevated, reflecting concerns about market risks.

This analysis highlights the opportunities

Chapter 5 Time value of Money

ppt                  Quiz 3                 Quiz 4

Key Topics Covered:

1.     Future Value (FV):

·       Definition: The amount of money an investment will grow to after earning interest over a specific period.

·       Formula: See the column to the right for details.

·       Application: Learn how to calculate the future value of savings or investments.

2.     Present Value (PV):

·       Definition: The current worth of a future sum of money or cash flow, discounted at a specific rate.

·       Formula: See the column to the right for details.

·       Application: Understand how to assess the value of future payments or investments today.

3.     Payment (PMT):

·       Definition: The fixed payment required to repay a loan over time, including interest.

·       Formula: See the column to the right for details.

·       Application: Learn how to calculate payments for loans, such as car loans or mortgages.

4.     Interest Rate (Rate):

·       Definition: The rate of return or cost of borrowing, expressed as a percentage.

·       Formula: See the column to the right for details.

·       Application: Learn how to determine the interest rate needed to achieve a financial goal.

5.     Number of Periods (NPER):

·       Definition: The number of time periods required for an investment to reach a specific future value or for a loan to be paid off.

·       Formula: See the column to the right for details.

·       Application: Determine how long it will take to save or grow your money.

6.     Net Present Value (NPV), Net Future Value (NFV)

·       Net Present Value (NPV): The difference between the present value of cash inflows and outflows over a period of time. It is used to assess the profitability of an investment or project.

·       Net Future Value (NFV): The future value of all cash inflows and outflows accumulated at a specific interest rate. It provides a measure of the total future worth of an investment.

7.     Effective Annual Rate (EAR) and Annual Percentage Rate (APR)

·       Effective Annual Rate (EAR):
The actual annual interest rate, accounting for compounding periods. It represents the true cost of borrowing or return on investment.

·       Annual Percentage Rate (APR):
The nominal annual interest rate that does not account for compounding within the year. It is commonly used for loans and credit products to standardize interest rate disclosures.

8.     Ordinary Annuity (PMT) and Annuity Due (PMT, type=1)

        Ordinary Annuity (PMT):
Payments are made at the end of each period. Used for loans, retirement savings, and mortgages.

        Annuity Due (PMT, type=1):
Payments are made at the beginning of each period. Common in lease agreements and insurance premiums.

 

 

Real-World Applications:

1.     Planning for the Future:

o   Use TVM concepts to plan for retirement, save for large purchases, or achieve financial goals.

2.     Loan Management:

o   Calculate loan payments for car loans, mortgages, or student loans.

o   Compare loans and understand the cost of borrowing.

3.     Credit Card Decisions:

o   Evaluate interest rates and payment terms to choose the best credit card.

4.     Investment Opportunities:

o   Compare investment options by calculating present and future values.

 

Key Takeaways:

  • Money has a time value, meaning it grows with interest or decreases in purchasing power due to inflation.
  • Understanding TVM concepts helps in making informed financial decisions, like choosing investments or managing debt.
  • Practical applications include savings growth, loan payments, and credit card evaluation.

 

 

 

The time value of money - German Nande (video)

 

Tutoring of Time Value of Money calculation in Excel video

 

 

Chapter 5 – Escape Room – To Earn Fake Etherum and Meme Coins

 

Questions in the escape room exercises:

1.     You are investing $5,000 (Present Value) in an account that earns 4% annual interest (Rate) for 8 years (Number of Periods). What is the Future Value of your investment? (fv=abs(fv(4%, 8, 0, 5000)), or fv =5000*(1+4%)^8)

2.      You are investing $3,000 (Present Value) in an account that earns 3% annual interest (Rate) for 12 years (Number of Periods). What is the Future Value of your investment? (fv=abs(fv(3%, 12, 0, 3000)), or fv =3000*(1+3%)^12)

3.     You need $20,000 in 10 years (Future Value) and can earn 3% annual interest (Rate). What is the Present Value of your investment? (pv=abs(pv(3%, 10, 0, 20000)), or pv =20000/(1+3%)^10)

4.     You need $15,000 in 5 years (Future Value) and can earn 2% annual interest (Rate). What is the Present Value of your investment? (pv=abs(pv(2%, 5, 0, 15000)), or pv =15000/(1+2%)^5)

5.      You invested $5,000 (Present Value) and it grew to $6,500 (Future Value) in 5 years. What was the annual interest rate? (rate=rate(5, 0, 5000, -6500)), or rate = ln(6500/5000)^(1/5)-1)

6.      You invested $8,000 (Present Value) and it grew to $10,000 (Future Value) in 6 years. What was the annual interest rate? (rate=rate(6, 0, 8000, -10000)), or rate = ln(10000/5=6000)^(1/6)-1)

7.      You invested $5,000 (Present Value) at an annual interest rate of 4% and it grew to $6,000 (Future Value). How many years did it take? (nper = nper(4%, 0, 5000, -6000), nper = ln(6000/5000)/(ln(1+4%))

8.      You invested $10,000 (Present Value) at an annual interest rate of 5% and it grew to $15,000 (Future Value). How many years did it take? (nper = nper(5%, 0,10000, -15000), nper = ln(15000/10000)/(ln(1+5%))

9.      You take a $30,000 loan (Present Value) at 4% annual interest (Rate) for 5 years (Number of Periods). What is your monthly payment? (pmt=pmt(4%/12, 5*12, 30000, 0))

10. You take a $20,000 loan (Present Value) at 3% annual interest (Rate) for 10 years (Number of Periods). What is your monthly payment? (pmt=pmt(3%/12, 10*12, 20000, 0))

 

 

Chapter 5 Homework (due with the first mid term)

 

1.     You deposit $5,000 in a saving account at 10% compounded annually. How much is your first year interest? How much is your second year interest? (500, 550)

 

2.     What is the future value of $5,000 invested for 3 years at 10% compounded annually? ( 6,655)

 

3.     You just bought a TV for $518.4 on credit card. You plan to pay back of $50 a month for this credit card debt. The credit card charges you 12% of interest rate on the monthly basis. So how long does it take to pay back your credit card debt? (11 months)

 

4.     You are going to deposit certain amount in the next four years. Your saving account offers 5% of annual interest rate.

First year:       $800

Second year:   $900

Third year:      $1000

Fourth year:    $1200.

How much you can withdraw four years later? (4168.35) (hint: refer to  https://www.jufinance.com/nfv/ )

 

5.     You are going to deposit certain amount in the next four years. Your saving account offers 5% of annual interest rate.

First year:       $800

Second year:   $900

Third year:      $1000

Fourth year:    $1200.

How much is the lump sum value as of today (NPV)? (3429.31) (Hint: use npv function in excel)

 

6.     Ten years ago, you invested $1,000. Today it is worth $2,000. What rate of interest did you earn? (7.18%)

 

7.     At 5 percent interest, how long would it take to triple your money? (22.52)

 

8.     What is the effective annual rate if a bank charges you 12 percent compounded monthly? (12.68%) (hint: use effect function in excel)

 

9.     Your father invested a lump sum 16 years ago at 8% interest for your education. Today, that account worth $50,000.00. How much did your father deposit 16 years ago? ($14594.52)

 

10.  You are borrowing $300,000 to buy a house. The terms of the mortgage call for monthly payments for 30 years at 3% interest. What is the amount of each payment?  ($1264.81)

 

11.  You deposit $200 at the beginning of each month into your saving account every month. After two years (24 deposits total), your account value is $6,000. Assuming monthly compounding, what is your monthly rate that the bank provides?  (1.74%)

 

12.   You want to buy a fancy car. For this goal, you plan to save $5,500 per year, beginning immediately.  You will make 4 deposits in an account that pays 8% interest.  Under these assumptions, how much will you have 4 years from today? ($26,766.31)

 

13.  The Thailand Co. is considering the purchase of some new equipment. The quote consists of a quarterly payment of $4,740 for 10 years at 6.5 percent interest. What is the purchase price of the equipment? ($138,617.88)

14.  Today, you are purchasing a 15-year, 8 percent annuity at a cost of $70,000. The annuity will pay annual payments. What is the amount of each payment? ($8,178.07)

15.  Shannon wants to have $10,000 in an investment account three years from now. The account will pay 0.4 percent interest per month. If Shannon saves money every month, starting one month from now, how much will she have to save each month? ($258.81)

16.  Trevor's Tires is offering a set of 4 premium tires on sale for $450. The credit terms are 24 months at $20 per month. What is the interest rate on this offer? (6.27 percent)

17.  Top Quality Investments will pay you $2,000 a year for 25 years in exchange for $19,000 today. What interest rate are you earning on this annuity? (9.42 percent)

18.  Around Town Movers recently purchased a new truck costing $97,000. The firm financed this purchase at 8.25 percent interest with monthly payments of $2,379.45. How many years will it take the firm to pay off this debt? (4.0 years)

19.  You just received a credit offer in an email. The company is offering you $6,000 at 12.8 percent interest. The monthly payment is only $110. If you accept this offer, how long will it take you to pay off the loan? (82.17 months)

20.  What is the future value of weekly payments of $25 for six years at 10 percent? ($10,673.90)

Summary of math and excel equations

 

Math Formula

FV = PV *(1+r)^n

PV = FV / ((1+r)^n)

N = ln(FV/PV) / ln(1+r)

Rate = (FV/PV)1/n -1

Annuity:

N = ln(FV/C*r+1)/(ln(1+r))

Or

N = ln(1/(1-(PV/C)*r)))/ (ln(1+r))

 

image001.jpg

 

 

 

 

Excel Formulas 

 

To get FV, use FV function.   

      =abs(fv(rate, nper, pmt, pv))

 

To get PV, use PV function                           

     = abs(pv(rate, nper, pmt, fv))

 

To get r, use rate function                          

     = rate(nper,  pmt, pv, -fv)

 

To get number of years, use nper function       

     = nper(rate,  pmt, pv, -fv)

 

To get annuity payment, use PMT function

     = pmt(rate, nper, pv, -fv)

 

To get Effective rate (EAR), use Effect function

 = effect(nominal_rate, npery)

 

To get annual percentage rate (APR), use nominal function

 = nominal(effective rate,  npery)

 

 

NPV NFV calculator(FYI, might be helpful)

www.jufinance.com/nfv

 

 

 

Time Value of Money Calculator

http://www.jufinance.com/tvm/

 

Chapter 3 Financial Statement Analysis

 

Ppt           Quiz on BS and IS                Quiz on Cash Flow Statement

 

Explaining 4 Financial Statements (youtube)

 

 

************* Introduction ***************

 

Let’s compare Nike with GoPro based on 10K (www.nasdaq.com)

https://www.nasdaq.com/market-activity/stocks/nke/financials

 

 

https://www.nasdaq.com/market-activity/stocks/nke/financials

 

Nike’s Income Statement

 

Period Ending:

5/31/2024

5/31/2023

5/31/2022

5/31/2021

Total Revenue

$51,362,000

$51,217,000

$46,710,000

$44,538,000

Cost of Revenue

$28,475,000

$28,925,000

$25,231,000

$24,576,000

Gross Profit

$22,887,000

$22,292,000

$21,479,000

$19,962,000

Operating Expenses

 

 

 

 

Research and Development

--

--

--

--

Sales, General and Admin.

$16,576,000

$16,377,000

$14,804,000

$13,025,000

Non-Recurring Items

--

--

--

--

Other Operating Items

--

--

--

--

Operating Income

$6,311,000

$5,915,000

$6,675,000

$6,937,000

Add'l income/expense items

$228,000

$280,000

$181,000

($14,000)

Earnings Before Interest and Tax

$6,700,000

$6,201,000

$6,651,000

$6,661,000

Interest Expense

--

--

--

--

Earnings Before Tax

$6,700,000

$6,201,000

$6,651,000

$6,661,000

Income Tax

$1,000,000

$1,131,000

$605,000

$934,000

Minority Interest

--

--

--

--

Equity Earnings/Loss Unconsolidated Subsidiary

--

--

--

--

Net Income-Cont. Operations

$5,700,000

$5,070,000

$6,046,000

$5,727,000

Net Income

$5,700,000

$5,070,000

$6,046,000

$5,727,000

Net Income Applicable to Common Shareholders

$5,700,000

$5,070,000

$6,046,000

$5,727,000

 

Nike’s Balance Sheet

 

Period Ending:

5/31/2024

5/31/2023

5/31/2022

5/31/2021

Current Assets

 

 

 

 

Cash and Cash Equivalents

$9,860,000

$7,441,000

$8,574,000

$9,889,000

Short-Term Investments

$1,722,000

$3,234,000

$4,423,000

$3,587,000

Net Receivables

$4,427,000

$4,131,000

$4,667,000

$4,463,000

Inventory

$7,519,000

$8,454,000

$8,420,000

$6,854,000

Other Current Assets

$1,854,000

$1,942,000

$2,129,000

$1,498,000

Total Current Assets

$25,382,000

$25,202,000

$28,213,000

$26,291,000

Long-Term Assets

 

 

 

 

Long-Term Investments

--

--

--

--

Fixed Assets

$7,718,000

$8,004,000

$7,717,000

$8,017,000

Goodwill

$240,000

$281,000

$284,000

$242,000

Intangible Assets

$259,000

$274,000

$286,000

$269,000

Other Assets

--

--

--

--

Deferred Asset Charges

$4,511,000

$3,770,000

$3,821,000

$2,921,000

Total Assets

$38,110,000

$37,531,000

$40,321,000

$37,740,000

Current Liabilities

 

 

 

 

Accounts Payable

$9,110,000

$8,825,000

$9,800,000

$9,205,000

Short-Term Debt / Current Portion of Long-Term Debt

$1,006,000

$6,000

$510,000

$2,000

Other Current Liabilities

$477,000

$425,000

$420,000

$467,000

Total Current Liabilities

$10,593,000

$9,256,000

$10,730,000

$9,674,000

Long-Term Debt

$7,903,000

$8,927,000

$8,920,000

$9,413,000

Other Liabilities

$2,566,000

$2,786,000

$2,777,000

$2,931,000

Deferred Liability Charges

$2,618,000

$2,558,000

$2,613,000

$2,955,000

Misc. Stocks

--

--

--

--

Minority Interest

--

--

--

--

Total Liabilities

$23,680,000

$23,527,000

$25,040,000

$24,973,000

Stock Holders Equity

 

 

 

 

Common Stocks

$3,000

$3,000

$3,000

$3,000

Capital Surplus

$965,000

$1,358,000

$3,476,000

$3,179,000

Retained Earnings

--

--

--

--

Treasury Stock

$13,409,000

$12,412,000

$11,484,000

$9,965,000

Other Equity

$53,000

$231,000

$318,000

($380,000)

Total Equity

$14,430,000

$14,004,000

$15,281,000

$12,767,000

Total Liabilities & Equity

$38,110,000

$37,531,000

$40,321,000

$37,740,000

 

Nike’s Cash Flow Statement

 

Period Ending:

5/31/2024

5/31/2023

5/31/2022

5/31/2021

Net Income

$5,700,000

$5,070,000

$6,046,000

$5,727,000

Cash Flows-Operating Activities

 

 

 

 

Depreciation

$844,000

$859,000

$840,000

$797,000

Net Income Adjustments

$169,000

$425,000

($38,000)

$88,000

Changes in Operating Activities

 

 

 

 

Accounts Receivable

($329,000)

$489,000

($504,000)

($1,606,000)

Changes in Inventories

$908,000

($133,000)

($1,676,000)

$507,000

Other Operating Activities

($260,000)

($644,000)

($845,000)

($182,000)

Liabilities

$397,000

($225,000)

$1,365,000

$1,326,000

Net Cash Flow-Operating

$7,429,000

$5,841,000

$5,188,000

$6,657,000

Cash Flows-Investing Activities

 

 

 

 

Capital Expenditures

($812,000)

($969,000)

($758,000)

($695,000)

Investments

$1,721,000

$1,481,000

($747,000)

($3,276,000)

Other Investing Activities

($15,000)

$52,000

($19,000)

$171,000

Net Cash Flows-Investing

$894,000

$564,000

($1,524,000)

($3,800,000)

Cash Flows-Financing Activities

 

 

 

 

Sale and Purchase of Stock

($3,583,000)

($4,829,000)

($2,863,000)

$564,000

Net Borrowings

--

($500,000)

--

($197,000)

Other Financing Activities

($136,000)

($102,000)

($151,000)

($136,000)

Net Cash Flows-Financing

($5,888,000)

($7,447,000)

($4,836,000)

($1,459,000)

Effect of Exchange Rate

($16,000)

($91,000)

($143,000)

$143,000

Net Cash Flow

$2,419,000

($1,133,000)

($1,315,000)

$1,541,000

 

Nike’s Financial Ratios

 

Period Ending:

5/31/2024

5/31/2023

5/31/2022

5/31/2021

Liquidity Ratios

 

 

 

 

Current Ratio

239.61%

272.28%

262.94%

271.77%

Quick Ratio

168.63%

180.94%

184.46%

200.92%

Cash Ratio

109.34%

115.33%

121.13%

139.30%

Profitability Ratios

 

 

 

 

Gross Margin

44.56%

43.52%

45.98%

44.82%

Operating Margin

12.29%

11.55%

14.29%

15.58%

Pre-Tax Margin

13.04%

12.11%

14.24%

14.96%

Profit Margin

11.10%

9.90%

12.94%

12.86%

Pre-Tax ROE

46.43%

44.28%

43.52%

52.17%

After Tax ROE

39.50%

36.20%

39.57%

44.86%

 

Nike vs GoPro Financial Summary

 

Category

Nike (FY 2024)

GoPro (FY 2023)

Revenue Performance

Stable, slight increase in revenue ($51.36B)

Declining for three consecutive years ($1.01B)

Profitability

Strong, with improved profit margin (11.10%)

Negative profitability, with a net loss of $53.18M

Operating Income

Positive at $6.31B, indicating strong operations

Negative at -$75.46M, signaling inefficiency

Net Income

Increased to $5.70B, reflecting efficiency

Net loss of $53.18M, reversing 2022 gains

Profit Margin

Improved to 11.10%, showing better cost control

Negative (-5.29%), meaning GoPro is losing money

Liquidity (Current Ratio)

Strong (239.61%), ensuring financial flexibility

Declining (172.91%), reducing financial flexibility

Cash Flow from Operations

Strong positive at $7.43B

Negative (-$32.86M), showing cash burn

Financial Stability

Financially stable with strong cash flow and profit growth

Struggling with declining revenue and operational inefficiencies

Key Concerns

Slow revenue growth but strong liquidity and profitability

Revenue decline, weak profitability, and cash flow struggles

Overall Conclusion

Nike remains in a strong financial position with steady profitability and strong liquidity.

GoPro is in financial distress, with losses, declining revenue, and weakening financial stability.

 

 

 

Let’s find it out by comparing stock performance between the two firms.

 

Nike Stock Performance  (finance.yahoo.com)

https://finance.yahoo.com/quote/NKE/

 

image060.jpg

 

 

 

Metric

Nike

GoPro

1-Year Performance

-

-68.44%

Previous Close Price

$74.39

$1.00

Opening Price

$74.45

$1.01

Current Price

$76.66

$1.01

Market Cap

$113.38B

$156.31M

Beta (5Y Monthly)

1.03 (Stable volatility)

1.56 (Higher volatility)

P/E Ratio (TTM)

23.66

N/A

EPS (TTM)

$3.24

-$2.61

52-Week Range

$70.32 - $107.43

$1.00 - $3.15

Forward Dividend

$1.60 (2.08%)

None

1-Year Target Estimate

$86.78

$1.35

 

Observations:

  • Performance: Nike's stock is stable compared to GoPro's sharp decline of over 68% in one year.
  • Market Size: Nike is significantly larger with a market cap of $113.38B compared to GoPro's $156.31M.
  • Profitability: Nike's positive P/E ratio and EPS indicate profitability, while GoPro's negative EPS highlights ongoing losses.
  • Volatility: GoPro's higher beta reflects greater risk and price fluctuations compared to Nike's stable beta.
  • Dividends: Nike pays a consistent dividend, while GoPro does not.

 

 ******* Part I: Balance Sheet and Income Statement **************

Home Depot (Ticker in the market: HD) reported the following information for the year ended January 30th, 2011 (expressed in millions).

Sales: $67,977

Cost of goods sold: $44,693

Marketing, general and administrative expenses: $15,885

Depreciation expenses: $1,616

Interest expense: $530

Tax rate: 36.70%

Number of shares outstanding: 1,623

Dividends paid to stockholders: $1,569.

Use the above information to try to prepare the income statement of Home Depot for the year ended January 30th, 2011 

 

Home Depot (Ticker in the market: HD) reported the following information for the year ended January 30th, 2011 (expressed in millions).

Cash: $545

Accounts receivables: $1,085

Inventories: $10625

Other current assets: $1,224

Gross fixed assets: $38,471

Accumulated depreciation: $13,411

Other fixed assets: $1,586

Accounts payable: $9,080

Short term notes payable: $1,042

Long term debt: $11,114

Total common stock: $3,894

Retained earnings: $14,995

Use the above information to try to prepare the balance sheet of Home Depot for the year ended January 30th, 2011

 

 

 

https://www.nasdaq.com/market-activity/stocks/gpro/financials

 

 

 

 

GoPro

GoPro’s Income Statement

 

Period Ending:

12/31/2023

12/31/2022

12/31/2021

12/31/2020

Total Revenue

$1,005,459

$1,093,541

$1,161,084

$891,925

Cost of Revenue

$681,886

$686,713

$683,979

$577,411

Gross Profit

$323,573

$406,828

$477,105

$314,514

Operating Expenses

 

 

 

 

Research and Development

$165,688

$139,885

$141,494

$131,589

Sales, General and Admin.

$233,348

$227,988

$222,395

$219,744

Non-Recurring Items

--

--

--

--

Other Operating Items

--

--

--

--

Operating Income

($75,463)

$38,955

$113,216

($36,819)

Add'l income/expense items

$12,429

$1,740

($176)

($4,881)

Earnings Before Interest and Tax

($63,034)

$40,695

$113,040

($41,700)

Interest Expense

$4,699

$6,242

$22,940

$20,257

Earnings Before Tax

($67,733)

$34,453

$90,100

($61,957)

Income Tax

($14,550)

$5,606

($281,071)

$4,826

Minority Interest

--

--

--

--

Equity Earnings/Loss Unconsolidated Subsidiary

--

--

--

--

Net Income-Cont. Operations

($53,183)

$28,847

$371,171

($66,783)

Net Income

($53,183)

$28,847

$371,171

($66,783)

Net Income Applicable to Common Shareholders

($53,183)

$28,847

$371,171

($66,783)

 

GoPro’s Balance Sheet

Period Ending:

12/31/2023

12/31/2022

12/31/2021

12/31/2020

Current Assets

 

 

 

 

Cash and Cash Equivalents

$222,708

$223,735

$401,087

$327,654

Short-Term Investments

$23,867

$143,602

$137,830

--

Net Receivables

$91,452

$77,008

$114,221

$107,244

Inventory

$106,266

$127,131

$86,409

$97,914

Other Current Assets

$38,298

$34,551

$42,311

$23,872

Total Current Assets

$482,591

$606,027

$781,858

$556,684

Long-Term Assets

 

 

 

 

Long-Term Investments

--

--

--

--

Fixed Assets

$27,415

$35,146

$46,323

$55,271

Goodwill

$146,459

$146,459

$146,459

$146,459

Intangible Assets

--

--

--

$1,214

Other Assets

$311,486

$289,293

$285,239

$11,771

Deferred Asset Charges

--

--

--

--

Total Assets

$967,951

$1,076,925

$1,259,879

$771,399

Current Liabilities

 

 

 

 

Accounts Payable

$212,661

$210,525

$300,117

$225,175

Short-Term Debt / Current Portion of Long-Term Debt

--

--

$122,391

--

Other Current Liabilities

$66,433

$65,403

$52,324

$37,518

Total Current Liabilities

$279,094

$275,928

$474,832

$262,693

Long-Term Debt

$92,615

$141,017

$111,289

$218,172

Other Liabilities

$40,396

$48,421

$57,844

$74,516

Deferred Liability Charges

--

--

--

--

Misc. Stocks

--

--

--

--

Minority Interest

--

--

--

--

Total Liabilities

$412,105

$465,366

$643,965

$555,381

Stock Holders Equity

 

 

 

 

Common Stocks

$998,373

$960,903

$1,008,872

$980,147

Capital Surplus

($249,296)

($196,113)

($279,345)

($650,516)

Retained Earnings

($193,231)

($153,231)

($113,613)

($113,613)

Treasury Stock

--

--

--

--

Other Equity

--

--

--

--

Total Equity

$555,846

$611,559

$615,914

$216,018

Total Liabilities & Equity

$967,951

$1,076,925

$1,259,879

$771,399

 

 

GoPro’s Cash Flow Statement

Period Ending:

12/31/2023

12/31/2022

12/31/2021

12/31/2020

Net Income

($53,183)

$28,847

$371,171

($66,783)

Cash Flows-Operating Activities

 

 

 

 

Depreciation

$6,160

$8,570

$10,962

$19,065

Net Income Adjustments

$20,986

$48,452

($214,299)

$71,007

Changes in Operating Activities

 

 

 

 

Accounts Receivable

($14,478)

$37,829

($8,142)

$93,084

Changes in Inventories

$20,865

($40,722)

$11,505

$46,322

Other Operating Activities

($7,649)

$7,922

($17,513)

$6,392

Liabilities

($5,564)

($85,151)

$75,469

($75,305)

Net Cash Flow-Operating

($32,863)

$5,747

$229,153

$93,782

Cash Flows-Investing Activities

 

 

 

 

Capital Expenditures

($1,520)

($3,447)

($5,545)

($4,881)

Investments

$123,422

($4,941)

($138,174)

$14,830

Other Investing Activities

--

--

--

($438)

Net Cash Flows-Investing

$121,902

($8,388)

($143,719)

$9,511

Cash Flows-Financing Activities

 

 

 

 

Sale and Purchase of Stock

($36,124)

($34,859)

$7,490

$5,435

Net Borrowings

($46,250)

($125,000)

--

$77,501

Other Financing Activities

($8,008)

($13,410)

($17,379)

($6,207)

Net Cash Flows-Financing

($90,382)

($173,269)

($9,889)

$71,977

Effect of Exchange Rate

$316

($1,442)

($2,112)

$2,083

Net Cash Flow

($1,027)

($177,352)

$73,433

$177,353

 

 

GoPro’s Financial Ratios

Period Ending:

12/31/2023

12/31/2022

12/31/2021

12/31/2020

Liquidity Ratios

 

 

 

 

Current Ratio

172.91%

219.63%

164.66%

211.91%

Quick Ratio

134.84%

173.56%

146.46%

174.64%

Cash Ratio

88.35%

133.13%

113.50%

124.73%

Profitability Ratios

 

 

 

 

Gross Margin

32.18%

37.20%

41.09%

35.26%

Operating Margin

-7.51%

3.56%

9.75%

-4.13%

Pre-Tax Margin

-6.74%

3.15%

7.76%

-6.95%

Profit Margin

-5.29%

2.64%

31.97%

-7.49%

Pre-Tax ROE

-12.19%

5.63%

14.63%

-28.68%

After Tax ROE

-9.57%

4.72%

60.26%

-30.92%

 

 

 

 

 

 

 

*

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

GoPro Stock performance ( finance.yahoo.com )

https://finance.yahoo.com/quote/GPRO/

image061.jpg

 

 

 

 

 

 

 

 

 

Balance Sheet Template  

http://www.jufinance.com/10k/bs

 

Income Statement Template  

http://www.jufinance.com/10k/is

 

Cash flow template

http://www.jufinance.com/10k/cf

 

Ratio Analysis   (plus balance sheet, income statement)

http://www.jufinance.com/ratio

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

*

********* Part II: Cash Flow Statement  ******************

 

·      Self produced video On Cash Flow Statement

·       Cash Flows Explained (youtbe)

·       Quiz Cash In or Cash Out?

 

Here is the cash flow statement of home depot as of 2/2/2014.

 

In Millions of USD (except for per share items)

52 weeks ending 2014-02-02

Net Income/Starting Line

5,385.00

Depreciation/Depletion

1,757.00

Amortization

-

Deferred Taxes

-31

Non-Cash Items

228

Changes in Working Capital

289

Cash from Operating Activities

7,628.00

Capital Expenditures

-1,389.00

Other Investing Cash Flow Items, Total

-118

Cash from Investing Activities

-1,507.00

Financing Cash Flow Items

-37

Total Cash Dividends Paid

-2,243.00

Issuance (Retirement) of Stock, Net

-8,305.00

Issuance (Retirement) of Debt, Net

3,933.00

Cash from Financing Activities

-6,652.00

Foreign Exchange Effects

-34

Net Change in Cash

-565

Cash Interest Paid, Supplemental

639

Cash Taxes Paid, Supplemental

2,839.00

 

Discussion:

1.      What are the three components of cash flow statement?

2.      What does net change in cash mean?

 

 

image021.jpg

 

Now let’s learn how to calculate cash changes in each session

Source of cash

  • Decrease in an Asset
    • Example: Selling inventories or collecting receivables provides cash
  • Increase in Liability or Equity
    • Example: Borrowing funds or selling stocks provides cash

Use of Cash

  • Increase in an Asset
    • Example: Investing in fixed assets or buying more inventories uses cash
    • Decrease in Liability or Equity
    • Example: Paying off a loan or buying back stock uses cash

 Cash Flow from Operations: Five Steps

1.      Add back depreciation.

2.      Subtract (add) any increase (decrease) in accounts receivable.

3.      Subtract (add) any increase (decrease) in inventory.

4.      Subtract (add) any increase (decrease) in other current assets.

5.      Add (subtract) any increase (decrease) in accounts payable and other accrued expenses

 

image021.jpg

 

Chapter 3 HW  (due with the First midterm exam)

 

1.     Firm AAA just showed how it operated in the prior year.

Sales = $2,000; Cost of Goods Sold = $1,000; Depreciation Expense = $200; Administrative Expenses = $180; Interest Expense = $30; Marketing Expenses = $50; and Taxes = $200.  Prepare income statement

2.     A firm has $2000 in current assets, $3000 in fixed assets, $300 in accounts receivables, $300 accounts payable, and $800 in cash. What is the amount of the inventory? (hint: 900)

3.     A firm has net working capital of $1000. Long-term debt is $5000, total assets are $8000, and fixed assets are $5000. What is the amount of the total equity? (Hint: to find total equity, you need to calculate total debt, which is a sum of long term debt and short term debt. Short term can be found from new working capital.) (hint: 1000)

4.     Andre's Bakery has sales of $100,000 with costs of $50,000. Interest expense is $20,000 and depreciation is $10,000. The tax rate is 35 percent. What is the amount of tax paid? (hint: 7000)(hint: tax = taxable income * tax rate and taxable income = EBT)

5.     Andre's Bakery has sales of $100,000 with costs of $50,000. Interest expense is $20,000 and depreciation is $10,000. The tax rate is 35 percent. The company also paid $3,000 for dividend. What is the retained earning?  (hint: retained earning = net income - dividend)(hint: 10,000)

6.     The Blue Bonnet's 2018 balance sheet showed net fixed assets of $2.2 million, and the 2019 balance sheet showed net fixed assets of $2.6 million. The company's income statement showed a depreciation expense of $1,000,000. What was the amount of the net capital spending for 2019? $1,400,000

7.     A firm has $500 in inventory, $1,860 in fixed assets, $190 in accounts receivables, $210 in accounts payable, and $70 in cash. What is the amount of the current assets?  (760)

8.     A firm has net working capital of $640. Total liability is $5,860. Total assets are $6,230, and fixed assets are $3,910. What is the amount of long term debt?  (4180)

9.     Which one of the following is a use of cash? (answer: B)
A. decrease in accounts receivable
B. decrease in accounts payable
C. increase in common stock
D. decrease in inventory

10. A firm generated net income of $878. The depreciation expense was $40 and dividends were paid in the amount of $25. Accounts payables decreased by $13, accounts receivables increased by $20, inventory decreased by $14, and net fixed assets decreased by $8. There was no interest expense. What was the net cash flow from operating activity? (899)

11. Teddy’s Pillows has beginning net fixed assets of $480 and ending net fixed assets of $530. Assets valued at $300 were sold during the year. Depreciation was $40. What is the amount of capital spending? (90)

12. Art’s Boutique has sales of $640,000 and costs of $480,000. Interest expense is $40,000 and depreciation is $60,000. The tax rate is 34%. What is the net income?     (39,600)

image023.jpg

image024.jpg

Cash Flow Statement Answer

calculation for changes

Cash at the beginning of the year

2060

Cash from operation

net income

3843

plus depreciation

1760

  -/+ AR 

-807

807

  -/+ Inventory

-3132

3132

 +/- AP

1134

1134

net change in cash from operation

2798

Cash from investment

 -/+ (NFA+depreciation)

-1680

1680

net change in cash from investment

-1680

Cash from finaning

 +/- long term debt

1700

1700

 +/- common stock

2500

2500

 - dividend

-6375

6375

net change in cash from investment

-2175

Total net change of cash

-1057

Cash at the end of the year

1003

 

(The excel file of the above cash flow statement is here)

 

More exercises of chapter 3 (word file here) (solution)

 

 

In class exercise

1.     Refer to the above table. Inventory has increased from $18,776 to $21,908. This is  ____________ of cash;

 Long term debt has increased from $9,800 to $11,500. This is ____________ of cash. 
A. use; use
B. use; source
C. source; source
D. source; use

 

 

2.     Prepare cash flow statement based on information given

 

Increase in accounts receivable                                 $20

Decrease in inventory                                    10

Operating income                                                       120

Interest expense                                                          20

Decrease in accounts payable                                    20

Dividend                                                                     10

Increase in common stock                                          30

Increase in net fixed asset                                          10

Depreciation                                                               5

Income tax                                                                  10

Beginning cash                                                           100

 

Why is Investment Cash flow -$15?

Assume that Net fixed assets =$10 in previous year.

Depreciation = $5 č Net fixed assets will drop by $5 due to depreciation, so net fixed assets should be $10-$5=$5, if the company has done nothing on fixed assets.

 

However, increase in Net Fixed Asset = $10 č net fixed assets = $10 + $10 = $20 this year.

 

How much has been spent on fixed assets?

$20-$5=$15 č It is a cash outflow, so -$15.

Solution: see above

Note: NI = EBIT – Interest – Tax = 120-20-10=90

Chapter 4: Ratio Analysis

 

Ppt            Quiz on Financial Ratios

 

  3 Minutes! Financial Ratios & Financial Ratio Analysis Explained & Financial Statement Analysis

 

 

Ratio analysis template ( https://www.jufinance.com/ratio)

 

 

Stock screening tools

FINVIZ.com

http://finviz.com/screener.ashx

 

We will focus on the following several ratios:

 

P/E (price per share/earning per share, P/E < 15, a bargain)

PEG (PE ratio / growth rate. PEG<1, undervalued stock) (optional)

EPS (earning per share)

ROA (Return on Asset = NI/TA, ROA>10% should be a nice benchmark)

ROE (return on equity = NI/TE, ROE>15% should be good)

Current ratio (liquidity measure. = CA/CL, has to be greater than one)

Quick ratio (liquidity measure. = (CA-Inventory)/CL, has to be greater than one)

Debt Ratio (Leverage measure. = TD/TA, need to be optimal, usually between 30% and 40%)

Gross margin (profit measure. = EBITDA/sales, or = Gross margin/sales, has to be positive)

Operating margin (profit measure. = EBIT/sales, or = operating income/sales, has to be positive)

Net profit margin (profit measure. = NI/sales, has to be positive)

Payout ratio (= dividend / NI, measures distribution to shareholders. No preferences. Usually value stocks have high payout ratio; Growth stocks have low payout ratio).

Total assets turnover = Sales/TA

Inventory turnover ratio = Sales/Inventory

Fixed assets turnover ratio = Cost of goods sold / Fixed assets

 

 Ratios & Margins Nike Inc. Cl B

All values updated annually at fiscal year end

Valuation

Category

Metric

P/E Ratio (TTM)

23.14

P/E Ratio (including extraordinary items)

23.05

Price to Sales Ratio

2.83

Price to Book Ratio

9.9

Price to Cash Flow Ratio

19.57

Enterprise Value to EBITDA

16.4

Enterprise Value to Sales

2.29

Total Debt to Enterprise Value

0.08

Total Debt to EBITDA

1.3

EPS (recurring)

3.72

EPS (basic)

3.76

EPS (diluted)

3.73

Revenue/Employee

647,179

Income Per Employee

71,788

Receivables Turnover

12.01

Total Asset Turnover

1.36

Current Ratio

2.4

Quick Ratio

1.69

Cash Ratio

1.09

Gross Margin

44.01%

Operating Margin

11.76%

Pretax Margin

13.04%

Net Margin

11.09%

Return on Assets

15.07%

Return on Equity

40.09%

Return on Total Capital

23.01%

Return on Invested Capital

22.52%

Total Debt to Total Equity

82.83%

Total Debt to Total Capital

45.30%

Total Debt to Total Assets

31.36%

Interest Coverage

23.15

Long-Term Debt to Equity

72.55%

Long-Term Debt to Total Capital

39.68%

Long-Term Debt to Assets

27.00%

 

 

https://www.wsj.com/market-data/quotes/NKE/financials

 

 

 

In class exercise

image023.jpg

image024.jpg

 

How much is ROA in 2009? ROA in 2009? Quick Ratio? Current Ratio? Debt Ratio? Payout Ratio? Operating margin? Net profit margin?

If the company’s stock is traded at $40 per share and there are 2,000 shares outstand. How much is PE?  

 

Homework of chapter 4 ( due with the first midterm exam)

 

1.     1 .A firm has total equity of $2,000 and a debt-equity ratio of 2. What is the value of the total assets?  (answer: $6,000)

2, The Co. has sales = $50 million, total assets = $30 million, and total debt = $15 million. The profit margin = 20%. What is the return on equity (ROE)?  (answer: 66.67%. Hint: TE= 15 million; NI =10 million)

 

 

Firm Midterm Exam

Solutions      T/F       Calculations

 

Study Guide

2.25. -  In Class Exam - Closed Book Closed Notes

  • 30 True/False Questions covering Chapters 3, 4, and 5, similar to the quizzes completed in class.
  • 20 Calculation Questions similar to the homework and in-class exercises.
  • Sample Questions

 

Time Value of Money (TVM) - You Should Know:

  • Future Value (FV) How much money will be worth in the future if it earns interest.
  • Present Value (PV) How much a future amount of money is worth today.
  • Payment (PMT) The fixed amount you pay or receive regularly (e.g., loan or savings).
  • Interest Rate (Rate, r) The percentage of money earned or charged over time.
  • Number of Periods (NPER) How long an investment or loan lasts (e.g., years, months).
  • Net Present Value (NPV) If an investment is worth it today after considering future cash flows.
  • Net Future Value (NFV) The total future value of all cash flows combined.
  • Effective Annual Rate (EAR) The true interest rate after considering compounding.
  • Annual Percentage Rate (APR) The yearly interest rate without compounding.
  • Ordinary Annuity Regular payments made at the end of each period (e.g., loans, savings).
  • Annuity Due Regular payments made at the beginning of each period (e.g., rent, leases).

 

Financial Statements - You Should Know:

  • Income Statement Shows how much money a company made and spent (Revenue Expenses = Profit).
  • Balance Sheet A snapshot of what a company owns (assets) and owes (liabilities) at a moment in time.
  • Cash Flow Statement Shows where a companys cash comes from and where it goes (Operating, Investing, Financing).
  • Revenue The money a company makes from sales.
  • Expenses The costs of running a business (e.g., rent, wages, materials).
  • Net Income (Profit) Money left after paying all expenses.

 

Cash Flow - You Should Know:

Understanding cash flow is important because it shows how money moves in and out of a business. Even if a company is profitable, it can still run out of cash if it doesnt manage its finances well.

1. What is Cash Flow?

  • Cash Flow = The amount of cash coming in and going out of a business.
  • If a company has positive cash flow, it has more money coming in than going out.
  • If a company has negative cash flow, it is spending more than it is earning.

 

2. Three Sections of the Cash Flow Statement

 Operating Activities (Day-to-Day Business Cash Flow)

  • Shows cash from the company's main business activities.
  • Examples of cash inflows (money coming in):
    • Revenue from selling goods or services.
    • Cash received from customers.
  • Examples of cash outflows (money going out):
    • Paying employees' salaries.
    • Paying rent, utilities, and other business expenses.
    • Paying suppliers for materials.

 

Investing Activities (Buying & Selling Assets)

  • Shows cash spent on investments and long-term assets.
  • Examples of cash inflows:
    • Selling equipment or buildings.
    • Selling stocks or other investments.
  • Examples of cash outflows:
    • Buying new machinery, land, or buildings.
    • Investing in other companies.
  • Key Concept: If a company spends a lot on investments, it may show negative cash flow, but that doesnt mean it's badit might be growing!

 

 Financing Activities (Raising Money & Paying Debt)

  • Shows how a company raises cash (borrowing money, selling stock) and spends cash (paying dividends, repaying debt).
  • Examples of cash inflows:
    • Taking out a loan.
    • Selling company stock.
  • Examples of cash outflows:
    • Paying back loans.
    • Paying dividends to shareholders.
    • Buying back company shares.
  •  Key Concept: A company that borrows too much might struggle later when repaying loans!

 

3. Cash Flow vs. Profit What’s the Difference?

  • Profit (Net Income) Shows how much money a company makes after expenses, but it doesn't mean the company actually has cash on hand.
  • Cash Flow Shows actual cash movement. A company can be profitable but still run out of money if it doesn’t collect cash quickly.

Example: A company sells $10,000 worth of products but only collects $2,000 in cash now. Profit looks good on paper, but cash flow is low, which could cause trouble paying bills!

 

4. Why is Cash Flow Important?

·       Tells if a company can survive A company needs enough cash to pay expenses.

·       Shows real financial health Net income (profit) can be misleading, but cash flow is real.

·       Helps in decision-making Investors look at cash flow to see if a company is a good investment.

 

5. Key Cash Flow Red Flags

·       Negative Operating Cash Flow The company isn't making enough money from its business.

·       High Debt Payments If too much cash is going toward debt, the company may struggle.

·       Declining Free Cash Flow Less money available for growth or returning money to investors.

 

Final Takeaways

  • Cash Flow Statement = Cash in vs. Cash out in three sections (Operating, Investing, Financing).
  • Positive cash flow = good, but negative cash flow in some areas (like investing) isnt always bad.
  • Net profit <> cash flow č A company can be profitable but still run out of cash.
  • Investors focus on Free Cash Flow (FCF) to see if a company is strong.

 

Financial Ratios - You Should Know:

Liquidity Ratios (Can a company pay its short-term bills?)

  • Current Ratio Can the company cover short-term debts? (Higher is better, >1 is ideal).
  • Quick Ratio Can the company pay short-term debts without selling inventory?

Profitability Ratios (Is the company making money?)

  • Gross Margin Profit after deducting production costs.
  • Operating Margin Profit after deducting operating expenses.
  • Net Profit Margin How much of each dollar in sales is actual profit.
  • Return on Assets (ROA) How well the company uses assets to make profit.
  • Return on Equity (ROE) How well the company uses investor money to make profit.

Efficiency Ratios (How well does the company use its assets?)

  • Total Asset Turnover How efficiently the company generates sales from its assets.
  • Inventory Turnover How often inventory is sold and replaced.

Leverage Ratios (How much debt does the company have?)

  • Debt Ratio The percentage of assets financed by debt.
  • Debt-to-Equity Ratio How much debt the company has compared to its equity.

Market Ratios (How valuable is the company’s stock?)

  • Price-to-Earnings (P/E) Ratio How much investors are willing to pay per $1 of earnings.
  • Earnings Per Share (EPS) Profit per share of stock.

Final Reminders:

  • Time Value of Money means money today is worth more than money in the future.
  • Financial Statements tell us if a company is doing well or struggling.
  • Ratios help compare companies and understand their strengths and weaknesses.

 

 

Chapter 6 Risk and Return

ppt                Quiz on Diversification               Quiz on CAPM       ICE Data and Results

Topic 1: Single Stock - Risk and Return Tradeoff    

Calculator

Given a probability distribution of returns, the expected return can be calculated using the following equation:

image065.jpeg

where

  • E[R] = the expected return on the stock,
  • N = the number of states,
  • pi = the probability of state i, and
  • Ri = the return on the stock in state i.

https://www.zenwealth.com/businessfinanceonline/RR/ExpectedReturn.html

Given an asset's expected return, its variance can be calculated using the following equation:

image064.jpg

where

  • N = the number of states,
  • pi = the probability of state i,
  • Ri = the return on the stock in state i, and
  • E[R] = the expected return on the stock.

The standard deviation is calculated as the positive square root of the variance.

image063.jpg

 https://www.zenwealth.com/businessfinanceonline/RR/MeasuresOfRisk.html

 

Exercise:

Stock A has the following returns for various states of the economy:

 

State of the Economy

Probability

Stock A's Return

Recession

10%

-30%

Below Average

20%

-2%

Average

40%

10%

Above Average

20%

18%

Boom

10%

40%

 

Stock A's expected return is? Standard deviation?

 

Solution: 

·       Expected return = 10%*(-30%)) + 20%*(-2%) + 40% *10% + 20%*18% + 10%*40% = 8.2%

 

·       Standard deviation (not required)

= sqrt(10%*(-30%-8.2%)2 + 20%*(-2%-8.2%)2 +40%*(10%-8.2%)2 + 20%*(18%-8.2%)2 +10%*(40%-8.2%)2) = 16.98%

 

Or,  https://www.jufinance.com/return/

image062.jpg

 

 

 

Drawbacks of Holding One Stock:

·       Holding only one stock is risky due to lack of diversification.

·       All your “eggs” are in one basket, so company-specific bad news can severely hurt your portfolio.

·       This concentration leads to high volatility and uncompensated risk – risk that could be diversified away but isn’t​.

 

Topic 2: A Portfolio with Two  Stocks - Risk and Return Tradeoff         Quiz

Key Insights on Two-Stock Portfolio and Diversification

  1. Diversification Lowers Risk: Adding a second stock reduces overall portfolio risk, as long as the stocks are not perfectly correlated.
  2. Risk Reduction Without Sacrificing Return: Diversification lowers volatility while keeping expected returns stable.
  3. Correlation Matters:

1)     If two stocks have high correlation (+1), they move together, offering little risk reduction.

2)     If they have low correlation (~0), they move independently, reducing overall volatility.

3)     If they have negative correlation (-1), one stock rises while the other falls, potentially eliminating risk.

  1. Example: Pairing an airline stock with a social media stock (low correlation) smooths out portfolio swings. If airline profits fall due to rising fuel costs, the social media stock might not be affected, helping stabilize returns.
  2. Bottom Line: The lower the correlation between stocks, the better the risk reduction, making a diversified portfolio more stable than holding a single stock.

For example: By thoughtfully selecting stocks with varying correlations to NVIDIA, investors can construct a portfolio that balances potential returns with reduced risk.

1. NVIDIA and Intel Corporation (INTC):

  • Correlation: Approximately 0.29 over the past 90 days, indicating a modest positive relationship. ​Macroaxis+1Macroaxis+1
  • Implication: While both are in the semiconductor industry, their stock movements aren't perfectly aligned. Adding Intel to a portfolio with NVIDIA can slightly reduce risk due to their modest correlation.​

2. NVIDIA and Amazon.com Inc. (AMZN):

  • Correlation: Around -0.08 over the past 90 days, suggesting a slight negative relationship. ​Macroaxis+1Macroaxis+1
  • Implication: Amazon operates in e-commerce and cloud computing, sectors different from NVIDIA's primary focus. This negative correlation means that when NVIDIA's stock decreases, Amazon's might increase, offering potential risk mitigation.​

3. NVIDIA and Advanced Micro Devices, Inc. (AMD):

  • Correlation: Approximately 0.747, indicating a strong positive relationship. ​Wire
  • Implication: Both companies are key players in the GPU market, leading to similar stock performance. Pairing them offers limited diversification benefits due to their high correlation.​

Key Takeaways:

  • Diversification Benefits: Combining NVIDIA with stocks from different sectors (e.g., Amazon) can reduce portfolio volatility.​
  • Correlation Consideration: Selecting stocks with low or negative correlation to NVIDIA enhances risk reduction.​
  • Industry Exposure: Pairing NVIDIA with companies in the same industry (e.g., AMD) may not provide significant diversification benefits due to similar market influences.​

 

Game

Calculator

 

image066.jpg

W1 and W2 are the percentage of each stock in the portfolio.

image067.jpg

 

image068.jpg

 

  • r12 = the correlation coefficient between the returns on stocks 1 and 2,
  • s12 = the covariance between the returns on stocks 1 and 2,
  • s1 = the standard deviation on stock 1, and
  • s2 = the standard deviation on stock 2.

image069.jpg

 

image070.jpg

  • s12 = the covariance between the returns on stocks 1 and 2,
  • N = the number of states,
  • pi = the probability of state i,
  • R1i = the return on stock 1 in state i,
  • E[R1] = the expected return on stock 1,
  • R2i = the return on stock 2 in state i, and
  • E[R2] = the expected return on stock 2.

 

Exercise:

Stocks A and B have the following returns for various states of the economy:

 

State of the Economy

Probability

Stock A's Return

Stock B's Return

Recession

10%

-30%

-10%

Below Average

20%

-2%

2%

Average

40%

10%

1%

Above Average

20%

18%

2%

Boom

10%

40%

-5%

 

 

Solution: (or use calculator at https://www.jufinance.com/return/)

Stock 1:

·       Expected return = 10%*(-30%)) + 20%*(-2%) + 40% *10% + 20%*18% + 10%*40% = 8.2%

·       Standard deviation (not required)

= sqrt(10%*(-30%-8.2%)2 + 20%*(-2%-8.2%)2 +40%*(10%-8.2%)2 + 20%*(18%-8.2%)2 +10%*(40%-8.2%)2) = 16.98%

 

Stock 2:

·       Expected return = 10%*(10%)) + 20%*(2%) + 40% *1% + 20%*2% + 10%*(-5)% = 1.7%

·       Standard deviation (not required) = sqrt(10%*(10%-1.7%)2 + 20%*(2%-1.7%)2 +40%*(1%-1.7%)2 + 20%*(2%-1.7%)2 +10%*((-5)%-1.7%)2) = 3.41%

 

Covariance (not required):

·       Covariance = 10%*(-30%-8.2%)*(10%-1.7%)+20%*(-2%-8.2%)*(2%-1.7%)+40%*(10%-8.2%)*(1%-1.7%)+20%*(18%-8.2%)*(2%-1.7%)+10%*(40%-8.2%)*((-5%)-1.7%) = -0.54%

 

Correlation (not required):

·       Correlation = -0.54%/(16.98%* 3.41%) = -0.93

 

 

image071.jpg

 

Topic 3: A Portfolio with Three  Stocks - Risk and Return Tradeoff   Quiz

Key Insights:

  1. More Stocks = Lower Risk: Adding a third stock further reduces portfolio volatility, especially if it’s from a different sector or has low correlation with the first two.
  2. Diversification Effect: Three stocks create three correlation pairs, spreading out unsystematic (company-specific) risk even more than a two-stock portfolio.
  3. Risk Reduction Potential: While three stocks won’t eliminate all diversifiable risk, research shows that holding around 20 stocks captures most of the benefits of diversification.
  4. Portfolio Return Calculation: The expected return of a three-stock portfolio is a weighted average of each stock’s return. Allocating higher weights to strong-performing stocks balances risk and return.
  5. Choosing Low-Correlation Stocks:

1)     Tech stock (growth potential)

2)     Consumer staples stock (stable in recessions)

3)     Utility stock (defensive, steady returns)
These sectors don’t move in sync, helping smooth out portfolio fluctuations.

6.      Bottom Line: The third stock acts as a buffer, making the portfolio more resilient and reducing reliance on any single stock or sector.

Game

In class Exercise

1.    Pick three stocks. Has to be the leading firm in three different industries. 

We chose Stock 1, Stock 2, Stock 3 (Use following app to get monthly stock returns in the past five years) https://script.google.com/macros/s/AKfycbxao_yHFToaMAs2fuEiYMfHapioFAjIukvBAFyJIOS6ccYL2WAepMMyrO8afpRjsVBA/exec)

 

 

·       Stock Prices Raw Data, Risk, Beta, CAPM   (stock 1, Stock 2, Stock 3, S&P500 (Raw data),       will be updated based on the new stocks chosen in class (template))

 

 

2.      From finance.yahoo.com, collect stock prices of the above firms, in the past five years 

Steps:

·       Goto finance.yahoo.com, search for the company

·       Click on “Historical prices” in the left column on the top and choose monthly stock prices.

·       Change the starting date and ending date to “1/31/2020” and “1/31/2025”, respectively.

·       Download it to Excel

·       Delete all inputs, except “adj close” – this is the closing price adjusted for dividend.

·       Merge the three sets of data just downloaded

 

3.      Evaluate the performance of each stock:

·       Calculate the monthly stock returns.

·       Calculate the average return

·       Calculate standard deviation as a proxy for risk

·       Calculate correlation among the three stocks.

·        Calculate beta. But you need to download S&P500 index values  in the past five years from finance.yahoo.com.

·       Calculate stock returns based on CAPM.

·       Draw SML

image008.jpg

·       Conclusion and take away?

 

 

image010.jpg

 

Conclusion: More than 25 stocks should do the trick for diversification.          Quiz

 

Please refer to template

 

 

Topic 4 - What Is the Capital Asset Pricing Model?      Quiz

The Capital Asset Pricing Model (CAPM) describes the relationship between systematic risk and expected return for assets, particularly stocks. CAPM is widely used throughout finance for pricing risky securities and generating expected returns for assets given the risk of those assets and cost of capital.

 Ri = Rf + βi * (Rm - Rf) ------ CAPM model

Ri = Expected return of investment

Rf = Risk-free rate

βi = Beta of the investment

Rm = Expected return of market

(Rm - Rf) = Market risk premium

 

 CAPM calculator

 

Topic 5 – Normal Distribution – Predict Stock Returns (FYI only)

 Stock Price Normal Distribution (FYI)  ( https://homepage.divms.uiowa.edu/~mbognar/applets/normal.html)

For example: from our in class exercise

 

McDonald

DISNEY

Duke Energy

Mean

1.23%

0.52%

0.86%

standard deviation

5.52%

9.99%

5.43%

 

Excel command to get the probability to earn less than 0% for MCD:

=NORM.DIST(0%, 1.23%, 5.52%, 1)

Excel command to get the probability to earn less than 0% for DIS:

=NORM.DIST(0%, 0.52%, 9.99%, 1)

Excel command to get the probability to earn less than 0% for DUKE:

=NORM.DIST(0%, 0.86%, 5.43%, 1)

 

Topic 6:  Step-by-Step Guide for Screening Mutual Funds (FYI)

Game


1. Open the Mutual Fund Screener:

2. Choose Basic Search Criteria:

  • Start by simplifying the search. 

Key Criteria to Focus On:

  • Fund Family: This is the company managing the mutual fund (e.g., Vanguard, Fidelity).
  • Morningstar Rating: This is a star-based rating (from 1 to 5 stars). The more stars, the better the fund has performed relative to its risk level.
  • Category: You can select a category of funds, such as "Large Growth", "Bond Funds", or "Balanced Funds" to meet specific needs.

3. Set Up a Simple Screen:

Step-by-Step Filters for the screener:

  1. Fund Family:
    • You can select well-known fund families like Vanguard or Fidelity to screen for trusted, low-cost funds.
  2. Category:
    • Pick a category based on what youre looking for, such as:
      • Large Growth: Focuses on big companies expected to grow fast.
      • Bond Funds: Safer investments for income.
      • Balanced Funds: Mix of stocks and bonds for moderate risk.
  3. Morningstar Rating:
    • Choose a Morningstar Rating of 4 or 5 stars to focus on higher-rated funds.
  4. Expense Ratio:
    • The expense ratio is the annual fee mutual funds charge. Select Low to filter funds with low fees (less than 1%).

4. Run the Search:

  • After selecting your criteria, click Search.
  • The screener will provide a list of mutual funds that match your search filters.

5. Analyze the Results:

After you run the screen, a list of funds will appear. Here's how to interpret the most important columns:

  • Fund Name: This is the name of the mutual fund.
  • Morningstar Rating: The star rating (1 to 5 stars).
  • Expense Ratio: The annual fee expressed as a percentage (the lower, the better).
  • 1 Year Return / 5 Year Return: The performance of the fund over the past 1 or 5 years.

6. Key Points:

  • Morningstar Rating: Aim for 4-5 stars.
  • Expense Ratio: Look for expense ratios below 1% for cost efficiency.
  • Fund Returns: Compare the 1-year and 5-year returns to see how well the fund has performed.

Example:

Let’s say you want to find a low-cost, well-rated balanced fund:

  • Fund Family: Select Vanguard or Fidelity.
  • Category: Choose Balanced Funds.
  • Morningstar Rating: Select 4 or 5 stars.
  • Expense Ratio: Select Low (below 1%).

Now, click Search, and the results will show a list of funds that match this criteria.

7. Choosing a Fund:

After the search, click on a fund’s name for more detailed information. You’ll see details like:

  • Top Holdings: What the fund is invested in.
  • Risk: How risky the fund is compared to others in its category.
  • Fees: A breakdown of the total fees and expenses.

Additional Tips:

·        Start Simple: Focus on categories and ratings to avoid getting overwhelmed by too many options.

·        Expense Ratio: Always look at the fees! They can significantly impact long-term returns.

·        Performance: A fund’s historical performance isn’t a guarantee of future returns, but it’s a useful indicator.

 

 

Advice on Multi-Stock Portfolios (FYI)        Diversification Game-1          Game-2       

 

Advice Category

Key Insights

Reducing Unsystematic vs. Systematic Risk

Adding more stocks reduces company-specific risk (unsystematic risk), but market-wide risk (systematic risk) remains. Diversification helps prevent the collapse of an entire portfolio due to one company's failure.

Diminishing Marginal Benefits of Diversification

The first few added stocks provide the greatest risk reduction. Research shows about 20 well-chosen stocks across industries eliminate most diversifiable risk. Beyond that, the additional benefit diminishes.

Sector & Asset Allocation Diversification

True diversification isn’t just about quantity but variety. Stocks should be spread across different sectors (tech, healthcare, energy, etc.) and asset classes (stocks, bonds, real estate) to improve stability.

Balancing Risk and Return

The risk-return tradeoff remains: higher returns require higher risk. However, diversification allows investors to lower risk without significantly reducing returns. A well-balanced portfolio smooths out volatility while capturing market gains.

 

 

Chapter 6 Homework (due with the second midterm exam) 

 

 

1) Stock A has the following returns for various states of the economy:

 State of

the Economy         Probability       Stock A's Return

Recession              10%                 -30%

Below Average     20%                 -2%

Average                 40%                 10%

Above Average     20%                 18%

Boom                    10%                 40%

Stock A's expected return is? (ANSWER: 8.2%)

 

2) Joe purchased 800 shares of Robotics Stock at $3 per share on 1/1/19. Bill sold the shares on 12/31/19 for $3.45. Robotics stock has a beta of 1.9, the risk-free rate of return is 4%, and the market risk premium is 9%. Joe's holding period return is? (ANSWER: 15%)

 

3. You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return? (ANSWER: 9.05%)

State of economy            probability of state of economy                rate of return if state occurs

Boom                                    27%                                                                        14%

Normal                                 70%                                                                        8%

Recession                            3%                                                                          -11%

 

4) The prices for the Electric Circuit Corporation for the first quarter of 2019 are given below. The price of the stock on January 1, 2019 was $130. Find the holding period return for an investor who purchased the stock onJanuary 1, 2009 and sold it the last day of March 2019. (ANSWER: 2.12%)

      Month End   Price

      January     $125.00

      February     138.50

      March         132.75

 

5) Collectibles Corp. has a beta of 2.5 and a standard deviation of returns of 20%. The return on the market portfolio is 15% and the risk free rate is 4%. What is the risk premium on the market?  (ANSWER: 11%)

  

6) An investor currently holds the following portfolio:

                                       Amount

                                      Invested

8,000 shares of Stock    A $16,000    Beta = 1.3

15,000 shares of Stock  B $48,000    Beta = 1.8

25,000 shares of Stock  C $96,000    Beta = 2.2

 The beta for the portfolio is? (ANSWER: 1.99)

  

7) Assume that you have $165,000 invested in a stock that is returning 11.50%, $85,000 invested in a stock that is returning 22.75%, and $235,000 invested in a stock that is returning 10.25%. What is the expected return of your portfolio? (ANSWER: 13%)

  

8) If you hold a portfolio made up of the following stocks:

            Investment Value Beta

Stock A      $8,000           1.5

Stock B      $10,000          1.0

Stock C       $2,000             .5

 What is the beta of the portfolio? (ANSWER: 1.15)

 

9. The risk-free rate of return is 3.9 percent and the market risk premium (rm –rf) is 6.2 percent. What is the expected rate of return on a stock with a beta of 1.21? (ANSWER: 11.4%)
  

10.              You own a portfolio consisting of the stocks below.

Stock                     Percentage of portfolio                 Beta

1.                                  20%                                                         1

2.                                  30%                                                         0.5

3.                                 50%                                                          1.6

The risk free rate is 3% and market return is 10%.

a.                   Calculate the portfolio beta.  (ANSWER: 1.15)

b.                  Calculate the expected return of your portfolio. (ANSWER: 11.05%)

  

11.  Computing holding period return for Jazman and Solomon for period 1 through 3 (bought in period 1 and sold in period 3). Show the holding period returns for each company. (ANSWER: 50%, -25%)

Period             Jazman           Solomon

1                      $10                  $20

2                      $12                  $25

3                      $15                  $15

  

12.  Calculate expected return  (ANSWER: 12%)

State of the economy

Probability of the states

% Return (Cash Flow/Inv. Cost)

Economic Recession

30%

5% 

Strong and moderate Economic Growth

70%

15% 

 

 13.  Calculate the expected returns of the following cases, respectively

1)      Invest $10,000 in Treasury bill with guaranteed return of 4%. (ANSWER: 4%)

2)      Investment $10,000 in Apple. 50% possibility to earn 20% return and 50% possibility to lose 10% of investment.(ANSWER: 5%)

3)      Investment $10,000 in Wal-Mart. 50% possibility to earn 5% return and 50% possibility to earn 0% of investment.(ANSWER: 2.5%)

 

14.  Rank the risk of the following cases, from the least risky one the most risky one  (ANSWER: 1, 3, 2)

1)      Invest $10,000 in Treasury bill with guaranteed return of 4%.

2)      Investment $10,000 in Apple. 50% possibility to earn 20% return and 50% possibility to lose 10% of investment.

3)      Investment $10,000 in Wal-Mart. 50% possibility to earn 5% return and 50% possibility to earn 0% of investment.

 

15.  An investor currently holds the following portfolio:

                                       Amount

                                      Invested

8,000 shares of Stock    A $10,000    Beta = 1.5

15,000 shares of Stock  B $20,000    Beta = 0.8

25,000 shares of Stock  C $20,000    Beta = 1.2

Calculate the beta for the portfolio.(ANSWER: 1.1)

Excel Command:

sumproduct(array1, array2)  ---- to get expected returns

stdev(observation1, obv2, obv3,….) ---- to get standard deviation

correl(stock 1’s return, stock 2’s return) --- to get correlation between stocks

beta = slope(stock return, sp500 return) --- to get the stock’s beta

 

 

 

 

 

Expected return calculator

www.jufinance.com/return

 

 

Holding Period Return Calculator

www.jufinance.com/hpr

 

 

CAPM Model Calculator

www.jufinance.com/capm

 

Two Stock Portfolio Return and Standard Deviation

www.jufinance.com/portfolio

 

 

 

FYI only

image026.jpg

W1 and W2 are the percentage of each stock in the portfolio.

image028.jpg

 

image031.gif

  • r12 = the correlation coefficient between the returns on stocks 1 and 2,
  • s12 = the covariance between the returns on stocks 1 and 2,
  • s1 = the standard deviation on stock 1, and
  • s2 = the standard deviation on stock 2.

 

image076.jpg

image022.jpg

  • s12 = the covariance between the returns on stocks 1 and 2,
  • N = the number of states,
  • pi = the probability of state i,
  • R1i = the return on stock 1 in state i,
  • E[R1] = the expected return on stock 1,
  • R2i = the return on stock 2 in state i, and
  • E[R2] = the expected return on stock 2.

 

 

2022 High Beta Stocks List | The 100 Highest Beta S&P 500 Stocks (FYI)

Updated on September 15th, 2022 by Bob Ciura

https://www.suredividend.com/high-beta-stocks/

 

 

#5: Fortinet, Inc. (FTNT)

 

Fortinet, Inc. provides broad, integrated, and automated cybersecurity solutions around the world. It offers FortiGate hardware and software licenses that provide various security and networking functions. Fortinet is a large-cap stock with a market cap above $40 billion.

 

 

In the 2022 second quarter, Fortinet generated revenue of $1.03 billion, up 29% from the same quarter last year. Product and service revenue grew 34% and 25%, respectively. Adjusted earnings-per-share increased 26% year-over-year.

 

For 2022, Fortinet expects revenue of $4.25 billion to $4.40 billion, consisting of $2.62 billion to $2.67 billion in service revenue. Billings are expected between $5.56 billion and $5.64 billion. Adjusted earnings-per-share are expected in a range of $1.01 to $1.06 for the full year.

 

FTNT has a Beta value of 1.71.

 

#4: Paycom Software Inc. (PAYC)

 

Paycom is a technology stock that produces cloud-based human capital management (HCM) as-a-service software. Services help employers manage a variety of HCM tasks such as talent acquisition, and time and labor management.

 

In the most recent quarter, Paycom generated $317 million in revenue, up 31% year-over-year. Recurring revenue grew 31%, and represented 98% of total revenue. Earnings-per-share of $1.26 increased 30% compared with $0.97 in the year-ago quarter.

 

PAYC has a Beta value of 1.71.

 

#3: ServiceNow (NOW)

 

ServiceNow is a high-quality technology company, which transforms old, manual ways of working into modern digital workflows. It reduces the complexity of jobs and makes work more pleasant to employees, thus resulting in increased productivity.

 

ServiceNow currently has more than 7,400 enterprise customers, which include about 80% of the Fortune 500. All these customers use the Now Platform, which is an intelligent cloud platform that carries out their digital transformation.

 

ServiceNow is a leader in the digital transformation of companies towards making work better for their employees. According to a research of IDC, more than $3 trillion has been invested in digital transformation initiatives but only 26% of the investments have delivered acceptable returns.

 

NOW has a Beta value of 1.77.

 

#2: Advanced Micro Devices (AMD)

 

Advanced Micro Devices was founded in 1959 and in the decades since it has become a sizable player in the chip market. AMD is heavy in gaming chips, competing with others like NVIDIA for the lucrative, but competitive market.

 

In the 2022 second quarter, AMD reported revenue of $6.6 billion. This was a 70% year-over-year increase, driven by organic growth as well as the contribution from Xilinx. Gross margin contracted two percentage points to 46% for the quarter. Operating income rose 22% to $526 million. Adjusted earnings-per-share of $1.05 increased 67%.

 

AMD has a Beta value of 2.09.

 

#1: NVIDIA Corporation (NVDA)

 

NVIDIA Corporation is a specialized semiconductor company that designs and manufactures graphics processors, chipsets and related software products.

 

Its products include processors that are specialized for gaming, design, artificial intelligence, data science and big data research, as well as chips designed for autonomous vehicles and robots.

 

Over the last five years, NVIDIAs growth exploded. This growth was partially driven by cryptocurrency mining, although that has mostly ceased to be a tailwind, and future growth will be centered on other growth drivers. NVIDIAs GPUs are very versatile in AI applications, which was an unintended benefit of the companys research and development efforts.

 

The company has immediately started to capitalize on this trend by offering GPUs that are optimized for deep learning and other specialized applications. These GPUs act as the brains of computers, robots, and self-driving cars. Those GPUs are, among others, utilized in professional visualization and data centers. The markets NVIDIA supplies GPUs for have strong growth tailwinds, which bodes well for NVIDIAs long-term revenue outlook.

 

NVDA has a Beta value of 2.31.

 

 

 

Negative Beta Stocks | The 1 Negative Beta S&P 500 Stock In 2022 (FYI)

Updated on January 19th, 2022 by Bob Ciura

https://www.suredividend.com/negative-beta-stocks/

 

 

Negative Beta Stock: Clorox Company (CLX)

With over 40 years of dividend increases, Clorox is on the exclusive Dividend Aristocrats list.

 

Clorox is a manufacturer and marketer of consumer and professional products, spanning a wide array of categories from charcoal to cleaning supplies to salad dressing.

 

More than 80% of its revenue comes from products that are #1 or #2 in their categories across the globe, helping Clorox produce more than $7 billion in annual revenue.

 

Clorox reported first quarter earnings on November 1st, 2021, and results were better than expected, although expectations were low.

 

Total revenue declined nearly –6% year–over–year to $1.8 billion, as organic sales fell –5% during the quarter. The decline was due to unfavorable pricing and mix, a decline in volume, and forex translation.

 

Cleaning and professional products were higher, but consumer products like vitamins and supplements posted strong declines.

 

Clorox stock has a Beta value of -0.24.

 

image106.png

https://ycharts.com/companies/CLX/performance/price

 

Chapter 7 Bond Pricing

Second Midterm Exam

Date: TBD