FIN435 • Chapter 8 — Risk and Return Spring 2026

Modern Portfolio Theory (MPT), diversification, portfolio risk/return, and CAPM (beta & the Security Market Line). Chapter date 2/5
Folder items: ppt, and your game links (CAPM / FF3 / FF5). Images: image142.jpg, image043.jpg, image045.jpg, etc.
Theme:

Quick Definitions

  • Return: reward you earn (expected or realized).
  • Risk: variability of returns (often standard deviation); investors usually care more about downside risk.
  • Diversification: reducing portfolio volatility by mixing imperfectly correlated assets.
  • Systematic risk: market-related risk measured by beta (CAPM).

Steps to Build an Optimal Stock Portfolio (Broker Workflow)

Step 1 — Know Your Client (“Know Yourself”)

Client profile checklist

  1. Investment goals (retirement, income, growth)
  2. Risk tolerance (averse / neutral / seeking)
  3. Investment horizon (1–3, 3–7, 7+ years)
  4. Liquidity needs (cash access frequency)
  5. Market knowledge (beginner → expert)
  6. Ethical/sector preferences (ESG, tech, dividends, etc.)

The checklist is the “inputs.” The risk profile below turns those inputs into a real portfolio plan.

Deliverable

Write a 6–8 line “Client Investment Policy Statement” (IPS): objectives, risk tolerance, horizon, constraints.

This IPS drives the strategy and portfolio design.

IPS mini-template (click)
Objective “I want ____ (income/growth) for ____ (retirement/house/etc.).”
Risk “I can tolerate ____% drop without panic-selling.”
Horizon “My horizon is ____ years.”
Liquidity “I need cash every ____ (month/quarter/year).”
Constraints “No ____ sectors; max ____% in one stock.”

Risk profile → recommended securities

Click each profile. Inside, you’ll see recommendations aligned to the same checklist items.

Conservative client (risk-averse)

Investment goals

  • Income + capital preservation
  • High-quality bond funds / short-term bond ETFs
  • Dividend-focused broad ETFs (quality dividends)

Risk tolerance

  • Lower equity weight; avoid highly volatile single stocks
  • Favor investment-grade bonds and low-volatility equity
  • Prefer diversified funds over concentrated bets

Investment horizon

  • 1–3 years: cash-like + short Treasuries/short bonds
  • 3–7 years: add moderate equities slowly
  • 7+ years: still cautious, but can hold more diversified equities

Liquidity needs

  • Emergency fund first (cash / money market)
  • Ladder short-term Treasuries for known cash dates
  • Avoid lockups / illiquid alternatives

Market knowledge

  • Use simple, diversified index ETFs
  • Avoid leverage, options, and frequent trading
  • Automate rebalancing 1–2x/year

Ethical/sector preferences

  • ESG-screened broad-market ETFs (if requested)
  • Dividend/quality tilts without concentration
  • Document exclusions in IPS (clear + measurable)
Example allocation idea (classroom example): 70–85% bonds/cash-like + 15–30% diversified equities.
Balanced client (risk-neutral)

Investment goals

  • Growth + some income
  • Broad-market equity index ETFs (US + international)
  • Core bond fund for stability

Risk tolerance

  • Accepts normal market swings
  • Mix of equities + bonds to smooth volatility
  • Diversify across sectors + regions

Investment horizon

  • 1–3 years: still keep meaningful safer assets
  • 3–7 years: core balanced mix works well
  • 7+ years: can tilt more to equities if desired

Liquidity needs

  • Keep a cash buffer + bond sleeve for near-term needs
  • Match known spending with safer assets
  • Equities for longer-horizon goals

Market knowledge

  • Use a “core + satellite” approach
  • Core: broad index funds; Satellite: small tilts (value, dividend, tech)
  • Rebalance on schedule (not emotions)

Ethical/sector preferences

  • ESG broad index + sector exclusions if needed
  • Cap any single sector ETF to avoid concentration
  • Write limits: “max 10–15% in any one sector”
Example allocation idea (classroom example): 50–70% equities + 30–50% bonds/cash-like.
Aggressive client (risk-seeking)

Investment goals

  • Maximum long-run growth
  • Broad equities + growth tilts (innovation/tech/semis)
  • Small-cap and emerging markets exposure (diversified)

Risk tolerance

  • Can tolerate large drawdowns without panic-selling
  • Higher equity weight; fewer bonds
  • Still diversify (aggressive ≠ all-in one stock)

Investment horizon

  • 7+ years fits best for aggressive positioning
  • If horizon is short, “aggressive” is usually a bad mismatch
  • Long horizon lets volatility average out (sometimes)

Liquidity needs

  • Keep liquidity bucket separate (cash/bonds) so you don’t sell equities at the bottom
  • Avoid illiquid bets if cash needs are frequent
  • Use rebalancing bands for risk control

Market knowledge

  • May include factor tilts (small, value, momentum) via diversified funds
  • Avoid leverage unless IPS explicitly allows it (and client truly understands it)
  • Document rules: entry, rebalancing, and max position sizes

Ethical/sector preferences

  • ESG growth funds exist, but watch fees + concentration
  • Sector tilts should have caps (risk control)
  • Write: “max 20% any one theme/sector”
Example allocation idea (classroom example): 80–100% equities + 0–20% bonds/cash-like.

Class note: These are educational “security type” examples (not personal financial advice). Real recommendations require client-specific details.

Step 2 — Define Investment Strategy

Common styles

  • Growth (high-growth firms)
  • Value (undervalued fundamentals)
  • Dividend (stable cash flows)
  • Sector rotation (cycle-based)
  • Index vs active (passive vs selection/tilts)

Strategy = “how we choose what to buy” + “how we control risk.”

Constraint awareness

Strategy must match the IPS: a short-horizon, risk-averse client should not be in a high-volatility, concentrated growth portfolio.

Quick mismatch examples (click)
  • Bad match: “Need cash in 12 months” + “all-in tech growth.”
  • Bad match: “Panic-sells easily” + “high beta meme stocks.”
  • Better match: “Needs stability” + “bonds + diversified dividend/low-vol funds.”
Step 3 — Market Research & Stock Selection

Fundamental analysis (use Apple as the example)

What you check (and what it means)
  • Revenue trend: Is Apple’s sales growing over time, flat, or shrinking?
  • Earnings trend: Are profits growing faster/slower than revenue?
  • Margins: Are gross margin / operating margin stable or improving?
  • Valuation: P/E, PEG, price-to-book (is the price “expensive” vs growth?)
  • Debt & stability: Can Apple easily cover interest + repay debt?
  • Competition: Samsung/Google ecosystem pressure, services growth, China exposure, etc.

Technical analysis (short-term) — Apple example

Three quick tools
  • Moving averages (SMA/EMA): is AAPL above or below the 50-day and 200-day?
  • RSI: overbought (>70) or oversold (<30)?
  • Volume: do big price moves happen on high volume (stronger signal)?

Macro factors — Apple example

Why macro matters for Apple
  • Interest rates: higher rates can pressure valuations of large growth/quality stocks.
  • Inflation: affects consumer spending; iPhone upgrades can be delayed.
  • Growth expectations: recession fears can hit discretionary electronics demand.
  • Risk sentiment: “risk-on” boosts equities; “risk-off” can cause selloffs even in great firms.
  • FX (USD): strong dollar can reduce reported overseas revenue.
Step 4–6 — Build (MPT), Execute, Monitor & Rebalance

Step 4 — Build (MPT)

Use diversification + correlations to build a portfolio with the “best” risk/return tradeoff for the client.

Student checklist (click)
  • Pick 2–5 assets (stocks/ETFs) from different sectors.
  • Compute each asset’s average return and standard deviation.
  • Compute correlations between assets (key for diversification).
  • Choose weights (w) and compute E[Rp] and σp.
  • Optional: use Solver to minimize σp for a target return.

Step 5 — Execute (place trades)

Turn weights into real trades: buy the right dollar amounts, at reasonable costs, with basic safeguards.

Execution rules (click)
  • Convert weights to dollars: dollars = weight × total portfolio value.
  • Control costs: watch spreads, commissions, and fund expense ratios.
  • Use simple order choices: market vs limit (limit helps avoid bad fills).
  • Avoid concentration: cap any single stock (example cap: 10–15%).
  • No leverage unless IPS explicitly allows it.

Step 6 — Monitor & Rebalance

Portfolios drift. Rebalancing keeps risk aligned with the IPS and prevents “accidental” overexposure.

Two rebalancing methods (click)
  • Calendar: rebalance every quarter / every year.
  • Threshold bands: rebalance when a weight drifts beyond a band (ex: ±5%).

Homework Submission (Team) — 1 Page (Due with First Midterm Exam)

TEAM HOMEWORK (1 page) — Portfolio Plan Submission (click)

Submit ONE page per team. This is your “mini portfolio report.” Keep it clean + readable. Tables may be small. Bullet points are fine.

What to include (required)

  1. Team + client profile (2–3 lines): goal + horizon + risk tolerance + liquidity needs.
  2. Chosen assets (2–5) + sectors: tickers + sector + 1 sentence “why these?”
  3. Table of inputs: average return, σ, and correlations.
  4. Target weights (sum to 100%) + E[Rp] and σp.
  5. Execution plan: assume $10,000. Convert weights → dollars + rules (cap, limit orders, costs).
  6. Rebalancing plan: calendar OR bands (and why).

Formatting rules

  • One page only (PDF preferred).
  • Use headings + one small table.
  • Weights must add to 100%.
  • Returns and σ shown in %.

Submission

  • File name: FIN435_Ch8_Portfolio.docx
  • Put all team member names on the page.

READ THIS How to Write the Chapter 8 Homework (Examples)

Use this format. If your submission is too general, revise it to match these examples.

Common mistake (avoid this)

Many teams accidentally write definitions instead of a client plan. That version is too general to grade.

Too general (example)

  • Lists the categories (goal / risk / horizon / liquidity) but does not choose one.
  • No specific client (age, situation, goal).
  • No IPS rules (risk limit, constraints, rebalancing rule).
  • No portfolio weights that add to 100%.

What to do instead (simple fix)

  1. Pick one client (2 lines: age + goal).
  2. Pick one risk level + horizon + liquidity level (1 sentence each).
  3. Write a 6-bullet IPS (objective, risk limit, horizon, liquidity, constraints, rebalancing).
  4. Give a 100% allocation that matches the IPS.
✅ Example 1 — Conservative Client (Retired / needs income)

1) Client Profile Checklist (choices + short reasons)

  • Client: “Mr. James” (Age 67), retired; portfolio helps pay monthly bills.
  • Goal: Income + capital preservation (needs stable cash flow).
  • Risk tolerance: Conservative (would panic if account drops >10–12%).
  • Horizon: Mid-term (3–7 years) (money supports retirement spending now).
  • Liquidity needs: High (needs cash monthly).
  • Market knowledge: Beginner (simple, low-maintenance).
  • Preferences: Avoid crypto and “single stock bets.” Wants low fees.

2) IPS (6 bullets — specific)

  1. Objective: Generate steady income while protecting principal.
  2. Return goal: ~4–6% long-run total return target (not guaranteed).
  3. Risk constraint: Avoid portfolios likely to drop >15% in a bad year; target lower volatility.
  4. Time horizon: 3–7 years, with ongoing withdrawals.
  5. Liquidity constraint: Maintain a cash/bond bucket for monthly needs (no forced stock selling).
  6. Diversification + rebalancing: Diversified across bond types + dividend equities; rebalance annually or at ±5% drift.

3) Portfolio Allocation (must = 100%)

  • Short-term Treasuries / money market: 15%
  • Investment-grade bond fund (core): 45%
  • TIPS (inflation protection): 10%
  • Dividend/low-volatility equity ETF: 25%
  • REIT fund: 5%

Why this matches: high bond/cash share reduces drawdowns and supports monthly withdrawals; small equity sleeve fights inflation.

4) Strategy (pick ONE)

Dividend + high-quality bond (mostly passive): diversified funds, low fees, scheduled rebalancing (no frequent trading).

✅ Example 2 — Balanced Client (Young professional / long horizon)

1) Client Profile Checklist (choices + short reasons)

  • Client: “Maria” (Age 28), stable job, saving for long-run wealth.
  • Goal: Growth (wealth building).
  • Risk tolerance: Balanced (can tolerate ~15–20% drop without selling).
  • Horizon: Long-term (7+ years) (10+ years).
  • Liquidity needs: Low (emergency fund is separate).
  • Market knowledge: Beginner (does not want to pick individual stocks).
  • Preferences: Simple + low fee; no crypto.

2) IPS (6 bullets — specific)

  1. Objective: Long-term capital growth with moderate volatility.
  2. Return goal: ~7–9% average annual return target over the long run (not guaranteed).
  3. Risk constraint: Avoid extreme portfolios that could drop 30–40%; tolerate about 15–20% drawdown.
  4. Time horizon: 10+ years.
  5. Liquidity constraint: Minimal withdrawals expected; keep small cash buffer.
  6. Diversification + rebalancing: Diversify across US/international stocks + bonds; rebalance annually or at ±5% drift.

3) Portfolio Allocation (must = 100%)

  • US stock index fund: 45%
  • International stock index fund: 20%
  • Core bond fund: 25%
  • Cash/money market: 5%
  • REIT fund: 5%

Why this matches: stocks drive growth; bonds/cash reduce volatility; international + REIT add diversification.

4) Strategy (pick ONE)

Passive indexing: diversified index funds + low fees + scheduled rebalancing fits a beginner and long horizon.

✅ Example 3 — Aggressive Client (High risk tolerance / long horizon)

1) Client Profile Checklist (choices + short reasons)

  • Client: “Zach” (Age 22), no debt, high savings rate, long runway.
  • Goal: Maximum growth (build wealth over 15+ years).
  • Risk tolerance: Aggressive (can tolerate 30%+ drawdown without panic-selling).
  • Horizon: Long-term (7+ years) (15+ years).
  • Liquidity needs: Low (no planned withdrawals for years).
  • Market knowledge: Intermediate (understands volatility).
  • Preferences: Tech tilt OK, but no single stock >10%.

2) IPS (6 bullets — specific)

  1. Objective: Maximize long-run capital growth.
  2. Return goal: Seek 9–12% long-run average return target (not guaranteed).
  3. Risk constraint: Accept large drawdowns; avoid concentration (no single stock >10%).
  4. Time horizon: 15+ years.
  5. Liquidity constraint: Minimal; keep small cash sleeve for rebalancing.
  6. Diversification + rebalancing: Diversify across US/international + EM + small-cap; rebalance annually or at ±5% drift.

3) Portfolio Allocation (must = 100%)

  • US total stock market index: 55%
  • International developed markets index: 20%
  • Emerging markets index: 10%
  • Small-cap diversified fund: 10%
  • Core bonds / cash-like: 5%

Why this matches: mostly equities for growth; small bond/cash sleeve helps rebalancing and avoids forced selling.

4) Strategy (pick ONE)

Index core + small growth tilt: broad index funds first; limited tilts with caps (risk control).

✅ Quick grading checklist (what I look for)
  • Client is specific (age + situation + goal).
  • Checklist chooses ONE option each + short reason (not definitions).
  • IPS includes risk limit, horizon, liquidity, and rebalancing rule.
  • Allocation totals 100% and matches the IPS.
  • Strategy is clear and matches the client (not random).

Reminder: Classroom exercise (not personal financial advice).

Modern Portfolio Theory (MPT): What You Need to Know

Core concept

MPT is a framework to maximize expected return for a given level of risk through diversification and correlation management.

Markowitz (1952): risk is portfolio variance/standard deviation; correlations are essential.

Video: Markowitz Model & Modern Portfolio Theory (Explained)

Open on YouTube ~10 minutes Markowitz • Efficient Frontier • Diversification

While watching, listen for: correlation, efficient frontier, and why adding an asset can reduce risk.

Efficient Frontier

  • Every portfolio is a point on a risk-return plane.
  • Efficient portfolios: highest return for a given risk.
  • Goal: pick a portfolio on the frontier consistent with the IPS.

Watch for: highest return for given risk and why diversification bends the curve.

Criticisms (important)

  • Variance treats upside and downside volatility equally.
  • Investors often focus on downside risk (PMPT).
  • Inputs (expected returns/correlations) can be unstable over time.

Portfolio Math (Return and Risk)

Portfolio expected return

E[Rp] = Σ wi · E[Ri]

Example (3 stocks): w1*r1 + w2*r2 + w3*r3

Portfolio variance (concept)

σp2 = Σ wi2 σi2 + ΣΣ 2 wiwj ρij σiσj

Correlation terms drive diversification benefits.

Two-stock special case

σp = √( w1²σ1² + w2²σ2² + 2w1w2ρ12σ1σ2 )

If ρ is low/negative, risk drops sharply.

Correlation (ρ) and Covariance: what −1, 0, +1 mean (VERY testable)

Correlation range

  • −1 ≤ ρ ≤ +1
  • ρ = +1: perfect positive correlation (move together)
  • ρ = 0: no linear relationship (uncorrelated)
  • ρ = −1: perfect negative correlation (move opposite)
What it means for diversification (click)
  • ρ = +1 → almost no diversification benefit.
  • ρ = 0 → diversification helps (risk falls, but not to zero).
  • ρ = −1 → in theory you can build a zero-risk portfolio with the right weights (rare).

Correlation picture (interactive)

Click a correlation value to see how two stocks move. Blue = Stock 1Green = Stock 2

Pick ρ:
With ρ = +1, the two stocks rise/fall together → diversification benefit is minimal.
Why “low correlation” matters (click)
  • The risk formula has a 2w1w2ρ12σ1σ2 term.
  • If ρ12 is lower, that term is smaller → portfolio variance drops.
  • ρ = +1: no “cancellation”.
  • ρ = 0: shocks don’t consistently hit both together.
  • ρ = −1: one offsets the other (best-case hedge; rare).

Key relationships

ρ12 = σ12 / (σ1 · σ2)

σ12 = ρ12 · σ1 · σ2

Translation: covariance is just “correlation × σ1 × σ2”.

Multi-stock templates (3 / 4 / 5 / 6 / 7 / 8 stocks) — term project uses 8

3-Stock Portfolio

Expected Return

E[Rp] = w1r1 + w2r2 + w3r3

Standard Deviation

σp = √( w12σ12 + w22σ22 + w32σ32 + 2w1w2ρ12σ1σ2 + 2w1w3ρ13σ1σ3 + 2w2w3ρ23σ2σ3 )

8-Stock Portfolio (TERM PROJECT)

Expected Return

E[Rp] = Σ wiri (i=1..8)

Standard Deviation

σp = √( Σ wi2σi2 (i=1..8) + ΣΣ 2wiwjρijσiσj (all i<j) )

Matrix form (cleanest for 8 stocks) (click)

Let Σ be the 8×8 covariance matrix and w be the 8×1 weight vector.
Portfolio variance: σp2 = wᵀ Σ w
Portfolio stdev: σp = √(wᵀ Σ w)

In Excel: build the covariance matrix, then use MMULT to compute wᵀΣw.

Sanity checks (do these before submitting) (click)
  • Weights sum to 1: Σw = 1
  • All σ’s are nonnegative; correlations satisfy -1 ≤ ρ ≤ 1
  • Variance can’t be negative; if you get negative → formula/table error.
  • If all ρ ≈ +1, diversification barely helps (σp stays high).

CAPM, Beta, and the Security Market Line (SML)

CAPM equation

E[Ri] = Rf + βi(E[Rm] − Rf)

  • β measures sensitivity to the market (systematic risk).
  • (E[Rm] − Rf) is the market risk premium.

Portfolio beta

βp = Σ wi βi

Weighted average of component betas.

SML interpretation

  • Intercept at β=0 is Rf.
  • Slope is the market risk premium (E[Rm] − Rf).
  • Higher β → higher required return (if CAPM holds).

Security Market Line (SML) — drawn + examples

The SML shows the required return for each level of systematic risk (beta). Points above the line look “cheap” (higher return for their beta); points below look “expensive”.

β = 0 → Rf β = 1 → Market
Beta (β) Expected return (%)

Example betas

  • WMT: β = 0.67 (defensive)
  • AAPL: β = 1.09 (near market)
  • NVDA: β = 2.36 (very sensitive to market)

How to read the picture

  • β = 0 is the risk-free asset → required return is Rf.
  • β = 1 is the market portfolio → required return is E[Rm].
  • Higher β means higher required return because you take more market risk.

In class: if two stocks have similar expected returns, prefer the one with lower β — unless you intentionally want more market exposure.

In-Class Exercises (ICE) — Questions + hidden solutions

In class: work the question first. Then click Show solution to check your work.

ICE 1 — MPT “optimal” 3-stock portfolio (A, B, C)

Question

Goal: achieve the best investment results (low risk, high return) using Modern Portfolio Theory. You have $10,000. How should you allocate funds among three stocks (A, B, C) to create an “optimal” portfolio?

YearStock AStock BStock C
110%4%12%
25%6%5%
34%8%7%
47%10%8%
51%5%14%

Required steps: (1) mean & risk (σ) for each stock, (2) correlations (3 pairs), (3) set up portfolio mean & risk, then find an “optimal” allocation.

✅ When finished, click here: Jump to ICE 1 Solution

ICE 1 Solution (click to reveal)

Show solution

Your page already includes the MPT mini-app below that reproduces the logic. In class, you can grade: correct means, σ, correlations, and a sensible weight set that improves Sharpe or lowers σ for similar return.

  • Mean returns (%): A=5.40, B=6.60, C=9.20
  • Std dev (%): A=3.36, B=2.41, C=3.70
  • Correlations: ρAB=-0.037, ρAC=-0.109, ρBC=-0.550

MPT Mini-App: Efficient Frontier (3 Stocks: A, B, C)

Uses the ICE 1 inputs by default (A,B,C). Generates many portfolios, draws the cloud + the efficient frontier curve, and highlights the minimum-variance and max Sharpe portfolios.

Inputs (ICE defaults)

Mean Return (%)Std Dev (%)
Stock A
Stock B
Stock C

Correlations (ρ)

Pairρ
A–B
A–C
B–C
Table rows shown: 100

Chart

Highlighted portfolios

TypewAwBwCE[Rp]%σp%Sharpe
Click “Generate Frontier”.

Portfolio table (first 100 shown)

#wAwBwCE[Rp]%σp%Sharpe
ICE 2 — Two-Stock Portfolio: E[Rp] and σp (Diversification)

Question

You have two risky assets: Stock A and Stock B. Compute the portfolio’s expected return and standard deviation.

Expected ReturnStd Dev (σ)
Stock A8%20%
Stock B12%30%

Portfolio weights: wA = 60%, wB = 40%

Correlation: ρAB = 0.20

Steps: (1) E[Rp] = wA·EA + wB·EB, (2) σp = √(wA²σA² + wB²σB² + 2wAwBρσAσB)

ICE 2 Solution (click to reveal)

Show solution

E[Rp] = 0.6(0.08) + 0.4(0.12) = 0.096 = 9.6%

σp2 = (0.6²)(0.20²) + (0.4²)(0.30²) + 2(0.6)(0.4)(0.20)(0.20)(0.30)

= 0.36(0.04) + 0.16(0.09) + 0.48(0.20)(0.06) = 0.0144 + 0.0144 + 0.00576 = 0.03456

σp = √0.03456 = 0.1859 ≈ 18.6%

Notice: both stocks are risky, but σp (18.6%) can be less than a weighted average of σ’s because ρ is not 1.

ICE 3 — CAPM Required Return (Beta → Required Return)

Question

Use CAPM to compute the required return for three stocks.

InputValue
Risk-free rate, Rf3%
Expected market return, E[Rm]11%
StockBeta (β)
WMT0.70
AAPL1.10
NVDA2.30

Formula: E[Ri] = Rf + β(E[Rm] − Rf)

ICE 3 Solution (click to reveal)

Show solution

Market risk premium = E[Rm] − Rf = 11% − 3% = 8%

WMT: 3% + 0.70(8%) = 3% + 5.6% = 8.6%

AAPL: 3% + 1.10(8%) = 3% + 8.8% = 11.8%

NVDA: 3% + 2.30(8%) = 3% + 18.4% = 21.4%

Interpretation: Higher β → higher required return because the stock carries more systematic (market) risk.

ICE 4 — Portfolio Beta + CAPM for the Portfolio

Question

You build a 3-asset portfolio. Compute: (1) the portfolio beta βp, and (2) the portfolio required return using CAPM.

AssetWeightBeta (β)
WMT40%0.70
AAPL40%1.10
NVDA20%2.30
InputValue
Risk-free rate, Rf3%
Expected market return, E[Rm]11%

Formulas: βp = Σ wiβi and E[Rp] = Rf + βp(E[Rm] − Rf)

ICE 4 Solution (click to reveal)

Show solution

βp = 0.40(0.70) + 0.40(1.10) + 0.20(2.30) = 0.28 + 0.44 + 0.46 = 1.18

Market risk premium = 11% − 3% = 8%

E[Rp] = 3% + 1.18(8%) = 3% + 9.44% = 12.44%

Interpretation: the portfolio is slightly more aggressive than the market (βp > 1), so its required return is slightly above the market’s required return.

Term Project

We will complete the term project using the dedicated project page. Please use the link below.

Chapter 8 Quiz

Topics: risk vs return, standard deviation, correlation, diversification, beta, CAPM, Security Market Line.

Tools & Links

If you use outside tools, always cite the ticker + your date range.