FIN 509 & FIN510 Class Web Page, Fall '20

The Syllabus (updated)

  

Weekly SCHEDULE, LINKS, FILES and Questions

Week

Coverage, HW, Supplements

-        Required

Equations and Assignments

 

Class Schedule:

 

 

Topic and Activities,

class video web links

Assignments and Key Due Dates

Week 1

Time value of money, chapter 5

Discussion Board on market watch game, due by Sunday 11:59 pm

 

Week 2

Discounted Cash Flow Valuation, chapter 6

Discussion Board on Tesla, Quiz 1, due by Sunday 11:59 pm, start from Thursday at 1 AM

 

Homework of chapters 5, 6 due by 10/27

 

Week 3

Interest Rates and Bond Valuation, chapter 7

Discussion Board on market watch game, Quiz 2, due by Sunday 11:59 pm, start from Thursday at 1 AM

 

Homework of chapter 7 due by 10/27

 

Week 4

Stock valuation, chapter 8

Discussion Board on low interest rate, Quiz 3, due by Sunday 11:59 pm, start from Thursday at 1 AM

 

Homework of chapter 8 due by 11/17

 

Week 5

Capital Budgeting, WACC, chapters 9, 14

Discussion Board on market watch game, Quiz 4, due by Sunday 11:59 pm, start from Thursday at 1 AM

 

Homework of chapter 9 due by 11/17

 

Week 6

Chapter 13, risk and return

Discussion Board on market watch game, Quiz 5, due by Sunday 11:59 pm, start from Thursday at 1 AM

 

Homework of chapter 9 due by 11/17

 

Week 7

Final, on 11/17 at 1 AM, on blackboard, due by Sunday 11:59 pm

 

 

 

 

Week 0

Market Watch Game 

  Use the information and directions below to join the game.

1.     URL for your game: 
http://www.marketwatch.com/game/fin510-1

2.     Password for this private game: havefun.

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

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

5.     Follow the instructions and start trading!

 

Pre-class assignment:

Set up marketwatch.com account and have fun

Week1,2



 

Chapter 5 Time value of money 1

Week 1 in class exercise (word file)   Solution (FYI, updated)

 

Chapter 5 ppt calculator

Chapter 5 ppt formula

 

Concept of FV, PV, Rate, Nper

Calculation of FV, PV, Rate, Nper

Concept of interest rate, compounding rate, discount rate

 

image001.jpg

 

 

Chapter 6 Time Value of Money 2

 

Chapter 6 PPT calculator

Chapter 6 ppt formula

 

Concept of PMT, NPV

Calculation of FV, PV, Rate, Nper, PMT, NPV, NFV

Concept of EAR, APR

Calculation of EAR, APR

 

 

Discussion Board (post your writing on blackboard under discussion):

Week 1 (due by Sunday at 11:59 pm)

 Market Watch Game

Let's start trading in the stock market! Please join a game and report back on your experience.

Directions

1.      URL for your game: 
http://www.marketwatch.com/game/fin509-1

2.      Password for this private game: havefun.

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

4.      Register for a new account with your email address or sign in if you already have an account.


Discussion Board Prompts

1.      Why did you choose the stock? How much money did you think you would make? Please explain.

2.      Did you make money or lose money off of your chosen stock? Which factors contributed to that? 

3.      What did you learn from this experience and how will it affect your choices in real life when choosing stocks?

Instructions

·         Responses should be 100 to 250 words in length and should answer all three prompts

·         Optional: reply to one of your peers with meaningful, thought-provoking responses

·         Due by Sunday at 11:59 p.m. ET

 

 

 

HOMEWORK of Chapters 5 and 6 (due on 10/27, updated) 

 

 

1. 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)

 

2. The condominium at the beach that you want to buy costs $249,500. You plan to make a cash down payment of 20 percent and finance the balance over 10 years at 6.75 percent. What will be the amount of your monthly mortgage payment? ($2,291.89)

3. 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)

 

4. 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)

5. 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%)

6. 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%)

7. You have just won the lottery! You can receive $10,000 a year for 8 years or $57,000 as a lump sum payment today. What is the interest rate on the annuity? (8.22%)

8. 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)


9.  Expansion, Inc. acquired an additional business unit for $310,000. The seller agreed to accept annual payments of $67,000 at an interest rate of 6.5 percent. How many years will it take Expansion, Inc. to pay for this purchase? (5.68 years)

10. You want to retire early so you know you must start saving money. Thus, you have decided to save $4,500 a year, starting at age 25. You plan to retire as soon as you can accumulate $500,000. If you can earn an average of 11 percent on your savings, how old will you be when you retire? (49.74 years)

11. 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)

12. Fred was persuaded to open a credit card account and now owes $5,150 on this card. Fred is not charging any additional purchases because he wants to get this debt paid in full. The card has an APR of 15.1 percent. How much longer will it take Fred to pay off this balance if he makes monthly payments of $70 rather than $85? (93.04 months)

13. Bridget plans to save $150 a month, starting today, for ten years. Jordan plans to save $175 a month for ten years, starting one month from today. Both Bridget and Jordan expect to earn an average return of 8 percent on their savings. At the end of the ten years, Jordan will have approximately _____ more than Bridget. ($4,391)


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


15. At the end of this month, Bryan will start saving $80 a month for retirement through his company's retirement plan. His employer will contribute an additional $.25 for every $1.00 that Bryan saves. If he is employed by this firm for 25 more years and earns an average of 11 percent on his retirement savings, how much will Bryan have in his retirement account 25 years from now? ($157,613.33)

 

16. Sky Investments offers an annuity due with semi-annual payments for 10 years at 7 percent interest. The annuity costs $90,000 today. What is the amount of each annuity payment? ($6,118.35)


17. Mr. Jones just won a lottery prize that will pay him $5,000 a year for thirty years. He will receive the first payment today. If Mr. Jones can earn 5.5 percent on his money, what are his winnings worth to him today? ($76,665.51)

 

18. You want to save $75 a month for the next 15 years and hope to earn an average rate of return of 14 percent. How much more will you have at the end of the 15 years if you invest your money at the beginning of each month rather than the end of each month? ($530.06)

 

19. What is the effective annual rate of 10.5 percent compounded semi-annually? (10.78%) 

20. What is the effective annual rate of 9 percent compounded quarterly? (9.31%)

21. Fancy Interiors offers credit to customers at a rate of 1.65 percent per month. What is the effective annual rate of this credit offer? (21.70%)

 

22. What is the effective annual rate of 12.75 percent compounded daily? (13.60 percent)

 

23. Your grandparents loaned you money at 0.5 percent interest per month. The APR on this loan is _____ percent and the EAR is _____ percent. (6.00; 6.17)

24. Three years ago, you took out a loan for $9,000. Over those three years, you paid equal monthly payments totaling $11,826. What was the APR on your loan? (18.69%)

 

 

FYI only: help for homework

Part 1(Qs 1-2)         Part 2(Qs 4-8)          Part 3(Qs 9-12)

Part 4(Qs 13-16)     Part 5(Qs 17-20)      Part 6(Qs 21-24)

 

Quiz 1- Help Videos  (new)

Part I           Part II        Part III

 

Calculators


NPV calculator
 

 

NFV calculator

 

Time Value of Money Calculator 

 

© 2002 - 2019 by Mark A. Lane, Ph.D.

 

 

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

 

 

EAR = (1+APR/m)^m-1

APR = (1+EAR)^(1/m)*m

 

 

 

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                                          

 = abs(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      

APR = nominal(effective rate,  npery)

 

 

Week3

Chapter 7 Bond Pricing

 

Ppt

 

 

In class exercise excel file (done in class)

 

 

 

Simplified Balance Sheet of WalMart

 

In Millions of USD 

As of 2020-01-31

Total Assets

236,495,000

Total Current Liabilities

77,790,000

Long Term Debt

59,885,000

Total Liabilities

154,943,000

Total Equity

81,552,000

Total Liabilities & Shareholders' Equity

236,495,000

 https://finance.yahoo.com/quote/WMT/balance-sheet/

 

For discussion:

·         What is this “long term debt”?

·         Who is the lender of this “long term debt”?

So this long term debt is called bond in the financial market. Where can you find the pricing information and other specifications of the bond issued by WMT?

image004.jpg 

 

How Bonds Work (video)

Investing Basics: Bonds(video)

 

FINRA – Bond market information

 http://finra-markets.morningstar.com/BondCenter/Default.jsp

 

WAL-MART STORES INC

http://finra-markets.morningstar.com/BondCenter/BondDetail.jsp?ticker=C104227&symbol=WMT.GP

 

Coupon Rate

7.550

%

Maturity Date

02/15/2030

Symbol

WMT.GP

CUSIP

931142BF9

Next Call Date

Callable

Last Trade Price

$154.06

Last Trade Yield

1.354%

Last Trade Date

10/19/2020

US Treasury Yield

 

 

Trade History

Credit and Rating Elements

Moody's® Rating

Aa2 (10/14/2015)

Standard & Poor's Rating

AA (02/10/2000)

TRACE Grade

Investment Grade

Default

Bankruptcy

N

Insurance

Mortgage Insurer

Pre-Refunded/Escrowed

Additional Description

Senior Unsecured Note

Classification Elements

Bond Type

US Corporate Debentures

Debt Type

Senior Unsecured Note

Industry Group

Industrial

Industry Sub Group

Retail

Sub-Product Asset

CORP

Sub-Product Asset Type

Corporate Bond

State

Use of Proceeds

Security Code

Special Characteristics

Medium Term Note

N

Issue Elements

*dollar amount in thousands

Offering Date

02/09/2000

Dated Date

02/15/2000

First Coupon Date

08/15/2000

Original Offering*

$1,000,000.00

Amount Outstanding*

$1,000,000.00

Series

Issue Description

Project Name

Payment Frequency

Semi-Annual

Day Count

30/360

Form

Book Entry

Depository/Registration

Depository Trust Company

Security Level

Senior

Collateral Pledge

Capital Purpose

Bond Elements

*dollar amount in thousands

Original Maturity Size*

1,000,000.00

Amount Outstanding Size*

1,000,000.00

Yield at Offering

7.56%

Price at Offering

$99.84

Coupon Type

Fixed

Escrow Type

 

For class discussion:

Fed has hiked interest rates. So, shall you invest in short term bond or long term bond?

Study guide  

1.      Find bond sponsored by WMT

just go to www.finra.orgè Investor center è market data è bond è corporate bond

 

Corporate Bond

Issuer Name

Callable

Coupon

Maturity

Moody

S&P

Fitch

Price

Yield

WMT

No

7.55

2/15/2030

Aa2

AA

AA

138.45

3.318

WMT

yes

6.75

4/2/2043

Aa2

AA

AA

110.45

4.065

(see below for details)

 

WALMART INC

+ ADD TO WATCHLIST

Coupon Rate

4.750

%

Maturity Date

10/02/2043

Symbol

WMT4055720

CUSIP

931142DK6

Next Call Date

04/02/2043

Callable

Yes

Last Trade Price

$110.45

Last Trade Yield

4.065%

Last Trade Date

03/14/2019

US Treasury Yield

 

Trade History

Prospectus

 

2.      2. Understand what is coupon, coupon rate, yield, yield to maturity, market price, par value, maturity, annual bond, semi-annual bond, current yield.

 

3.      3. Understand how to price bond

Bond price = abs(pv(yield, maturity, coupon, 1000))  ------- annual coupon

Bond price = abs(pv(yield/2, maturity*2, coupon/2, 1000)) ------- semi-annual coupon

 

Also change the yield and observe the price changes. Summarize the price change pattern and draw a graph to demonstrate your findings.

 

Again, when yield to maturity of this semi_annual coupon bond is 4%, how should this WMT bond sell for?

 

4.      Understand how to calculate bond returns

Yield to maturity = rate(maturity, coupon,  -market price, 1000) – annual coupon

Yield to maturity = rate(maturity*2, coupon/2,  -market price, 1000)*2 – semi-annual coupon

 

Bond Calculator (www.jufinance.com/bond)

 

For example, when the annual coupon bond is selling for $1,100, what is its return to investors?

 

For example, when the semi-annual coupon bond is selling for $1,100, what is its return to investors?

 

5.      Current yield: For the above bond, calculate current yield.

6.      Zero coupon bond: coupon=0 and treat it as semi-annual coupon bond.

Example: A ten year zero coupon bond is selling for $400. How much is its yield to maturity?

A ten year zero coupon bond’s yield to maturity is 10%. How much is its price?

 

7.      Understand what is bond rating and how to read those ratings.

a.       Who are Moody, S&P and Fitch?

b.      What is WMT’s rating?

c.       Is the rating for WMT the highest?

d.      Who earned the highest rating?

 

 

Supplement: Municipal Bond

image051.jpg

https://emma.msrb.org/

 

For class discussion:

·        Shall you invest in municipal bonds?

·        Are municipal bonds better than investment grade bonds?

 

 

Supplement: The risks investing in a bond

·        Bond investing: credit Risk (video)

·        Bond investing: Interest rate risk (video)

·        Bond investing: increased risk (video)

 

 

Homework (Due on 10/27)

 

1.  Firm AAA’s bonds price = $850.  Coupon rate is 5% and par is $1,000. The bond has six years to maturity. Calculate for current yield? (5.88%)

2. For a zero coupon bond, use the following information to calculate its yield to maturity. (14.35%)  Years left to maturity = 10 years. Price = $250. 

3.  For a zero coupon bond, use the following information to calculate its price. ($456.39) Years left to maturity = 10 years. Yield = 8%.

4.  Imagine that an annual coupon bond’s coupon rate = 5%, 15 years left. Draw price-yield profile. (hint: Change interest rate, calculate new price and draw the graph). 

5. IBM 5 year 2% annual coupon bond is selling for $950. How much this IBM bond’s YTM?  3.09%

6.  IBM 10 year 4% semi-annual coupon bond is selling for $950. How much is this IBM bond’s YTM?  4.63%

7. IBM 10 year 5% annual coupon bond offers 8% of return. How much is the price of this bond?   798.7

8. IBM 5 year 5% semi-annual coupon bond offers 8% of return. How much is the price of this bond?  $878.34

9.  IBM 20 year zero coupon bond offers 8% return. How much is the price of this bond? 208.29

10.   Collingwood Homes has a bond issue outstanding that pays an 8.5 percent coupon and matures in 18.5 years. The bonds have a par value of $1,000 and a market price of $964.20. Interest is paid semiannually. What is the yield to maturity? (8.90%)

11.  Grand Adventure Properties offers a 9.5 percent coupon bond with annual payments. The yield to maturity is 11.2 percent and the maturity date is 11 years from today. What is the market price of this bond if the face value is $1,000?

($895.43)

12.  The zero coupon bonds of D&L Movers have a market price of $319.24, a face value of $1,000, and a yield to maturity of 9.17 percent. How many years is it until these bonds mature? (12.73 years)

13.  A zero coupon bond with a face value of $1,000 is issued with an initial price of $212.56. The bond matures in 25 years. What is yield to maturity?  (6.29%)

14.   The bonds issued by Stainless Tubs bear a 6 percent coupon, payable semiannually. The bonds mature in 11 years and have a $1,000 face value. Currently, the bonds sell for $989. What is the yield to maturity? (6.14%)

 

Videos --- homework help

Part I        Q1-Q2       Q3-Q4     Q5-Q8      Q9-Q14

 

 

Quiz 2- Help Video

 

 

 

Bond Calculator

www.jufinance.com/bond

 

 

 

Bond Pricing Formula (FYI)

 

image033.jpg

 

 

 

image035.jpg

 

 

image036.jpg

 

 

image037.jpg

 

image038.jpg

 

 

 

 

Bond Pricing Excel Formula

 

Summary of bond pricing excel functions

To calculate bond price (annual coupon bond):

Price=abs(pv(yield to maturity, years left to maturity, coupon rate*1000, 1000)

 

To calculate yield to maturity (annual coupon bond)::

Yield to maturity = rate(years left to maturity, coupon rate *1000, -price, 1000)

 

To calculate bond price (semi-annual coupon bond):

Price=abs(pv(yield to maturity/2, years left to maturity*2, coupon rate*1000/2, 1000)

 

To calculate yield to maturity (semi-annual coupon bond):

Yield to maturity = rate(years left to maturity*2, coupon rate *1000/2, -price, 1000)*2

 

To calculate number of years left(annual coupon bond)

Number of years =nper(yield to maturity,  coupon rate*1000, -price, 1000)

 

To calculate number of years left(semi-annual coupon bond)

Number of years =nper(yield to maturity/2,  coupon rate*1000/2, -price, 1000)/2

 

To calculate coupon (annual coupon bond)

Coupon = pmt(yield to maturity, number of years left, -price, 1000)

Coupon rate = coupon / 1000

 

To calculate coupon (semi-annual coupon bond)

Coupon = pmt(yield to maturity/2, number of years left*2, -price, 1000)*2

Coupon rate = coupon / 1000

 

 

 

Week 4

Chapter 8 Stock Valuation

 

ppt

 

1.    Introduction

https://finance.yahoo.com/quote/WMT?p=WMT

 

Previous Close

99.06

Open

98.58

Bid

0.00 x 1000

Ask

0.00 x 1800

Day's Range

97.94 - 99.53

52 Week Range

81.78 - 106.21

Volume

6,708,131

Avg. Volume

7,824,006

Market Cap

285.529B

Beta (3Y Monthly)

0.64

PE Ratio (TTM)

43.49

EPS (TTM)

2.26

Earnings Date

May 16, 2019

Forward Dividend & Yield

2.12 (2.14%)

Ex-Dividend Date

2019-05-09

1y Target Est

109.07

 

WMT 10-year price chart

 image033.jpg

 

 

 

https://finance.yahoo.com/quote/WMT/balance-sheet/

 

 

In Millions of USD (except for per share items)

As of 2019-01-31

Total Assets

219,295,000

Total Liabilities

139,661,000

Redeemable Preferred Stock, Total

-

Preferred Stock - Non Redeemable, Net

-

Common Stock, Total

288,000

Additional Paid-In Capital

-

Retained Earnings (Accumulated Deficit)

80,785,000

Treasury Stock

-11,542

Capital Surplus

2,965,000

Other Stockholder equity

Total Equity

-11,542

Total Liabilities & Shareholders' Equity

72,496,000

To learn about non-constant growth of dividend (Here dividend growth model will not work), please refer to the following calculator (FYI, not required)
calculator

(www.jufinance.com/nonconstant_dividend)

FYI:

Po = Do*(1+g1) / r + Do*(1+g1) *(1+g2) / (r2)+ ... Do*(1+g1) *(1+g2)*...(1+gn-1)/ (rn-1) + Do*(1+g1) *(1+g2)*...(1+gn-1)*(1+gn)/(r-gn)

g1: next year's growth rate; gn: nth year's growth rate; Po: current stock price

If non-constant dividend growth rates in the next several years are not given, refer to the following equations. 

g1 = D1/Do-1; g2 = D2/D1-1; g3=D3/D2-1,... Until dividend growth rate stays fixed.  

 

For discussion:

·         Stockholders’ rights

·         Risk and return – where to find how risky the stock is

2.      Calculate stock prices

1)      Given next dividends and price expected to be sold for

Po= https://www.jufinance.com/fin509_19s/index_files/image013.gif 

Po= https://www.jufinance.com/fin509_19s/index_files/image015.gif +https://www.jufinance.com/fin509_19s/index_files/image017.gif

Po= https://www.jufinance.com/fin509_19s/index_files/image015.gif +https://www.jufinance.com/fin509_19s/index_files/image019.gif +https://www.jufinance.com/fin509_19s/index_files/image021.gif

Po= https://www.jufinance.com/fin509_19s/index_files/image015.gif +https://www.jufinance.com/fin509_19s/index_files/image019.gif +https://www.jufinance.com/fin509_19s/index_files/image023.gif+https://www.jufinance.com/fin509_19s/index_files/image025.gif

……

 

2) Given all dividends – Dividend growth model

Po= D1/(r-g) or Po= Do*(1+g)/(r-g)

R = D1/Po+g = Do*(1+g)/Po+g

D1=Do*(1+g); D2= D1*(1+g)…

g= r-D1/Po = r- Do*(1+g)/Po

Capital Gain yield = g

Dividend Yield = r – g = D1 / Po = Do*(1+g) / Po

 

Calculator for Dividend Growth Model

(www.jufinance.com/stock)

 

 

Exercise:

1. Consider the valuation of a common stock that paid $1.00 dividend at the end of the last year and is expected to pay a cash dividend in the future. Dividends are expected to grow at 10% and the investors required rate of return is 17%. How much is the price? How much is the dividend yield? Capital gain yield?

2.      The current market price of stock is $90 and the stock pays dividend of $3 with a growth rate of 5%. What is the return of this stock? How much is the dividend yield? Capital gain yield?

 

3.      How to pick stocks  Does it work?

PE ratio

PEG ratio (peg ratio vs. PE ratio  video)

 

 

HOMEWORK (Due with final )

1. Northern Gas recently paid a $2.80 annual dividend on its common stock. This dividend increases at an average rate of 3.8 percent per year. The stock is currently selling for $26.91 a share. What is the market rate of return? (14.60 percent)

2. Douglass Gardens pays an annual dividend that is expected to increase by 4.1 percent per year. The stock commands a market rate of return of 12.6 percent and sells for $24.90 a share. What is the expected amount of the next dividend? ($2.12)
3.  IBM just paid $3.00 dividend per share to investors. The dividend growth rate is 10%. What is the expected dividend of the next year? ($3.3)

4. The current market price of stock is $50 and the stock is expected to pay dividend of $2 with a growth rate of 6%. How much is the expected return to stockholders? (10%)

5.  Investors of Creamy Custard common stock earns 15% of return. It just paid a dividend of $6.00 and dividends are expected to grow at a rate of 6% indefinitely. What is expected price of Creamy Custard's stock? ($70.67)

 

Homework Video of this week  

  

Homework help video

 

Quiz 3- Help Video (coming soon)

 

Chapter 9 Capital Budgeting

 

ppt

 

image093.jpg

 

 

1.      NPV Excel syntax

Syntax

  NPV(rate,value1,value2, ...)

  Rate     is the rate of discount over the length of one period.

  Value1, value2, ...     are 1 to 29 arguments representing the payments and income.

·         Value1, value2, ... must be equally spaced in time and occur at the end of each    period. NPV uses the order of value1, value2, ... to interpret the order of cash flows. Be sure to enter your payment and income values in the correct sequence.

 

2.      IRR Excel syntax

Syntax

   IRR(values, guess)

   Values  is an array or a reference to cells that contain numbers for which you want to calculate the internal rate of return.

  Guess     is a number that you guess is close to the result of IRR.

 image040.jpg

 

image100.jpg 

 

image099.jpg

 

image047.jpg

 

Or, PI = NPV / CFo +1

Profitable index (PI) =1 + NPV / absolute value of CFo

 

3.     MIRR( valuesfinance_ratereinvest_rate )

Where the function arguments are as follows:

Values

-

An array of values (or a reference to a range of cells containing values) representing the series of cash flows (investment and net income values) that occur at regular periods.

These must contain at least one negative value (representing payment) and at least one positive value (representing income).

finance_rate

-

The interest rate paid on the money used in the cash flows.

reinvest_rate

-

The interest rate paid on the reinvested cash flows.

 

image036.jpg

 

 

Modified Rate of Return: Definition & Example (video)

https://study.com/academy/lesson/modified-rate-of-return-definition-example.html 

 

 

NPV, IRR, Payback Period calculator

(www.jufinance.com/npv)
image046.jpg

 

Excel Template - NPV, IRR, MIRR, PI, Payback, Discounted payback

 

 

Chapter 9 Study Guide

Part I: Single project

Consider the following scenario.

You are reviewing a new project and have estimated the following cash flows:

  Year 0:            CF = -165,000

  Year 1:            CF = 63,120; NI = 13,620

  Year 2:            CF = 70,800; NI = 3,300

  Year 3:            CF = 91,080; NI = 29,100

Your required return for assets of this risk level is 12%.

1)      Using payback period method to make capital budgeting decision.

2)      Using discounted payback period method to make capital budgeting decision.

3)      Using net present value method (NPV)  (answer: $12,627.41)

4)      Using profitable index method (PI) (answer: 1.077)

5)      Using the Internal Rate of Return method (answer: 16.13%)

6)      Using modified IRR method (MIRR, using 12% for both investment rate and financing rate. Answer: 14.79%) 

Part II: Multi-Projects

 

Period

Project A

Project B

 0

-500

-400

1

325

325

2

325

200

IRR

NPV

If the required rate of return is 10%. Which project shall you choose?

1)      How much is the cross over rate? (answer: 11.8%)

2)      How is your decision if the required rate of return is 13%? (answer: NPV of B>NPV of A)

·         Rule for mutually exclusive projects: (answer: Choose B)

·         What about the two projects are independent? (answer: Choose both)

 

More on IRR – (non-conventional cash flow) 

Suppose an investment will cost $90,000 initially and will generate the following cash flows:

–    Year 1: 132,000

        Year 2: 100,000

–    Year 3: -150,000

The required return is 15%. Should we accept or reject the project?

1)      How  does the NPV profile look like? (Answer: Inverted)

2)      IRR1= 10.11% -- answer

3)      IRR2= 42.66% -- answer

Exercise 

An investment project has the following cash flows:

CF0 = -1,000,000; C01 – C08 = 200,000 each

If the required rate of return is 12%, what decision should be made using NPV?

How would the IRR decision rule be used for this project, and what decision would be reached?

How are the above two decisions related?

 

HOMEWORK(Due with final)
 Question 1:
 Project with an initial cash outlay of $20,000 with following free cash flows for 5 years.

Year   Cash flows

1                    $8,000

2                    4,000

3                    3,000

4                    5,000

5                    10,000

 

1)      How much is the payback period (approach one)?   ---- 4 years

2)      If the firm has a 10% required rate of return. How much is NPV (approach 2)?-- $2456.74

3)      If the firm has a 10% required rate of return. How much is IRR (approach 3)? ---- 14.55%

4)      If the firm has a 10% required rate of return. How much is PI (approach 4)? ---- 1.12

Question 2: Project with an initial cash outlay of $60,000 with following free cash flows for 5 years.

      Year    FCF               

Initial outlay    –60,000          

      1          25,000          

      2          24,000          

      3          13,000

      4          12,000

      5          11,000 

The firm has a 15% required rate of return.

Calculate payback period, NPV, IRR and PI. Analyze your results.

 Question 3: Mutually Exclusive Projects

1)      Consider the following cash flows for one-year Project A and B, with required rates of return of 10%. You have limited capital and can invest in one but one project. Which one?

§  Initial Outlay: A = $200; B = $1,500

§  Inflow:            A = $300; B = $1,900

 

2)      Example: Consider two projects, A and B, with initial outlay of $1,000, cost of capital of 10%, and following cash flows in years 1, 2, and 3:

A: $100                       $200                $2,000

B: $650                       $650                $650

 Which project should you choose if they are mutually exclusive? Independent? Crossover rate?

Chapter 14 Cost of Capital  

 

 ppt

 

 For class discussion:

What is WACC?

Why is it important?

WACC increases, good or bad to stock holders?

How to apply WACC to figure out firm value?

What is DCF?

 

image092.jpg

 

 

One option (if beta is given, refer to chapter 13)

image087.jpg

 

Another option (if dividend is given):

 

image088.jpg

 

WACC Formula

 

image089.jpg

 

 

WACC calculator (annual coupon bond)

(www.jufinance.com/wacc)

 

image090.jpg

 

WACC calculator  (semi-annual coupon bond)

 (www.jufinance.com/wacc_1)

 

WACC Excel Template (New)

 

WACC Calculator help videos FYI

 

Summary of Equations

 

Discount rate to figure out the value of projects is called WACC (weighted average cost of capital)

 

WACC = weight of debt * cost of debt   + weight of equity *( cost of equity)

 

Wd= total debt / Total capital  = total borrowed / total capital

We= total equity/ Total capital   

Cost of debt = rate(nper, coupon, -(price – flotation costs), 1000)*(1-tax rate)

Cost of Equity = D1/(Po – Flotation Cost)  + g   

D1: Next period dividend; Po: Current stock price; g: dividend growth rate

Note: flotation costs = flotation percentage * price

 

Or if beta is given, use CAPM model (refer to chapter 13)

Cost of equity = risk free rate + beta *(market return – risk free rate)

           Cost of equity = risk free rate + beta * market risk premium

 

 In Class Exercise:

 A firm borrows money from bond market. The price they paid is $950 for the bond with 5% coupon rate and 10 years to mature. Flotation cost is $40.  For the new stocks, the expected dividend is $2 with a growth rate of 10% and price of $40. The flotation cost is $4. The company raises capital in equal proportions i.e. 50% debt and 50% equity (such as total $1m raised and half million is from debt market and the other half million is from stock market). Tax rate 34%. What is WACC (weighted average cost of capital, cost of capital)?  (Answer: 9.84%)

1)      Why does the firm raise capital from the financial market? Is there of any costs of doing so? What do you think?

2)      What is cost of debt?

 (Kd = rate(nper, coupon, -(price – flotation costs $)), 1000)*(1-tax rate))

3)      Cost of equity? (Ke = (D1/(Price – flotation costs $)) +g, or Ke = Rrf + Beta*MRP))

Why no tax adjustment like cost of debt?

4)      WACC=Cost of capital = Percentage of Debt * cost of debt + percentage of stock * cost of stock = Wd*Kd + We* Ke

Meaning: For a dollar raised in the capital market from debt holders and stockholders, the cost is WACC (or WACC * 1$ = several cents, and of course, the lower the better but many companies do not have good credits)

 

No homework for chapter 14

 

 

Homework help videos

Q1    Q2-Q3     Excel Template Help

 

 

Quiz 4- Help Video (coming soon)

 

FYI
Walmart Inc  (NYSE:WMT) WACC %:5.72% As of Today 

 

As of today, Walmart Inc's weighted average cost of capital is 5.72%. Walmart Inc's ROIC % is 11.27% (calculated using TTM income statement data). Walmart Inc generates higher returns on investment than it costs the company to raise the capital needed for that investment. It is earning excess returns. A firm that expects to continue generating positive excess returns on new investments in the future will see its value increase as growth increases.

https://www.gurufocus.com/term/wacc/WMT/WACC/Walmart%2BInc

 

 

Amazon.com Inc  (NAS:AMZN) WACC %:11.79% As of Today 

 

As of today, Amazon.com Inc's weighted average cost of capital is 11.79%. Amazon.com Inc's ROIC % is 31.81% (calculated using TTM income statement data). Amazon.com Inc generates higher returns on investment than it costs the company to raise the capital needed for that investment. It is earning excess returns. A firm that expects to continue generating positive excess returns on new investments in the future will see its value increase as growth increases.

 https://www.gurufocus.com/term/wacc/AMZN/WACC-Percentage/Amazon.com%20Inc

 

 

Apple Inc  (NAS:AAPL) WACC %:7.64% As of Today 

 

As of today, Apple Inc's weighted average cost of capital is 7.64%. Apple Inc's ROIC % is 35.90% (calculated using TTM income statement data). Apple Inc generates higher returns on investment than it costs the company to raise the capital needed for that investment. It is earning excess returns. A firm that expects to continue generating positive excess returns on new investments in the future will see its value increase as growth increases.

https://www.gurufocus.com/term/wacc/AAPL/WACC/Apple%2Binc 

 

 Cost of Capital by Sector (US)

 

 Date of Analysis: Data used is as of January 2019

 

Industry Name

Number of Firms

Beta

Cost of Equity

E/(D+E)

Std Dev in Stock

Cost of Debt

Tax Rate

After-tax Cost of Debt

D/(D+E)

Cost of Capital

Advertising

48

1.22

9.93%

58.46%

66.44%

5.43%

5.69%

4.07%

41.54%

7.49%

Aerospace/Defense

85

1.24

10.07%

79.75%

40.77%

4.56%

11.40%

3.42%

20.25%

8.72%

Air Transport

18

1.02

8.77%

52.68%

34.19%

4.18%

6.48%

3.14%

47.32%

6.10%

Apparel

50

0.93

8.23%

74.07%

48.89%

4.56%

14.19%

3.42%

25.93%

6.98%

Auto & Truck

14

0.79

7.41%

33.85%

38.24%

4.18%

10.15%

3.14%

66.15%

4.58%

Auto Parts

52

1.17

9.63%

71.45%

44.28%

4.56%

11.57%

3.42%

28.55%

7.86%

Bank (Money Center)

10

0.71

6.93%

32.91%

18.29%

3.58%

26.01%

2.69%

67.09%

4.08%

Banks (Regional)

633

0.57

6.07%

56.65%

20.60%

3.58%

26.99%

2.69%

43.35%

4.60%

Beverage (Alcoholic)

31

1.3

10.42%

74.53%

33.49%

4.18%

2.55%

3.14%

25.47%

8.57%

Beverage (Soft)

37

1.18

9.70%

80.95%

50.32%

4.56%

3.87%

3.42%

19.05%

8.50%

Broadcasting

24

1.02

8.76%

40.89%

37.29%

4.18%

2.54%

3.14%

59.11%

5.44%

Brokerage & Investment Banking

38

1.21

9.87%

25.21%

32.08%

4.18%

22.47%

3.14%

74.79%

4.83%

Building Materials

42

1.1

9.21%

75.19%

33.40%

4.18%

16.11%

3.14%

24.81%

7.70%

Business & Consumer Services

168

1.22

9.94%

73.70%

44.86%

4.56%

7.60%

3.42%

26.30%

8.22%

Cable TV

14

1.13

9.43%

58.58%

26.32%

4.18%

3.61%

3.14%

41.42%

6.82%

Chemical (Basic)

39

1.55

11.92%

60.07%

54.33%

4.56%

7.33%

3.42%

39.93%

8.52%

Chemical (Diversified)

6

1.82

13.51%

73.10%

32.60%

4.18%

3.18%

3.14%

26.90%

10.72%

Chemical (Specialty)

89

1.17

9.65%

75.40%

42.33%

4.56%

10.71%

3.42%

24.60%

8.12%

Coal & Related Energy

23

1.17

9.64%

59.74%

53.58%

4.56%

1.75%

3.42%

40.26%

7.14%

Computer Services

119

1.27

10.25%

71.85%

41.69%

4.56%

8.75%

3.42%

28.15%

8.32%

Computers/Peripherals

57

1.68

12.69%

79.92%

49.87%

4.56%

6.60%

3.42%

20.08%

10.83%

Construction Supplies

48

1.45

11.34%

68.55%

32.24%

4.18%

13.21%

3.14%

31.45%

8.76%

Diversified

23

1.36

10.78%

73.82%

39.46%

4.18%

7.41%

3.14%

26.18%

8.78%

Drugs (Biotechnology)

481

1.51

11.69%

84.09%

68.96%

5.43%

0.93%

4.07%

15.91%

10.48%

Drugs (Pharmaceutical)

237

1.47

11.41%

87.44%

72.45%

5.43%

2.26%

4.07%

12.56%

10.49%

Education

35

1.28

10.29%

76.49%

37.66%

4.18%

6.14%

3.14%

23.51%

8.61%

Electrical Equipment

116

1.32

10.56%

81.87%

57.29%

4.56%

4.36%

3.42%

18.13%

9.27%

Electronics (Consumer & Office)

19

1.19

9.78%

91.10%

62.71%

4.56%

7.67%

3.42%

8.90%

9.21%

Electronics (General)

160

1.02

8.74%

83.77%

46.69%

4.56%

11.67%

3.42%

16.23%

7.87%

Engineering/Construction

52

1.01

8.68%

67.17%

40.14%

4.56%

7.62%

3.42%

32.83%

6.96%

Entertainment

120

1.33

10.61%

83.43%

54.34%

4.56%

1.93%

3.42%

16.57%

9.42%

Environmental & Waste Services

91

1.19

9.78%

74.83%

46.15%

4.56%

3.23%

3.42%

25.17%

8.18%

Farming/Agriculture

33

0.72

6.95%

60.15%

29.07%

4.18%

9.64%

3.14%

39.85%

5.43%

Financial Svcs. (Non-bank & Insurance)

259

0.7

6.87%

8.08%

27.33%

4.18%

20.38%

3.14%

91.92%

3.44%

Food Processing

83

0.81

7.51%

68.12%

27.46%

4.18%

5.17%

3.14%

31.88%

6.12%

Food Wholesalers

18

1.62

12.36%

69.03%

40.99%

4.56%

4.71%

3.42%

30.97%

9.59%

Furn/Home Furnishings

30

0.88

7.95%

66.37%

43.51%

4.56%

16.96%

3.42%

33.63%

6.43%

Green & Renewable Energy

21

1.62

12.34%