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Chapter 15: Introduction to the Portfolio Approach Question 1 The textbook notes that “to earn higher returns, investors must usually choose investments with higher risk.” Explain. In order to get higher return you need to risk more and vise versa. It all depends on the investors risk profile Question 2 If you purchased a stock for $32.00 and sold it for $36.60 a year later, calculate the rate of return for your investment if you received quarterly dividend payments of $0.45 during the year. 1.80 + (36.60-32) / 32 x 100 = 20%
Question 3 If you purchased a stock for $32.00 and sold it for $36.60 three years later, calculate the rate of return
for your investment if you received quarterly dividend payments of $0.45 during each year. 5.4 + (36.60-32) / 32 x 100 = 31.25%
Question 4 You buy QWE shares for $16.00 expecting them to rise to $20 by the end of the year. Calculate the expected (“ex ante”) return. If the shares decline to $14.00 by the end of the year, what is the actual (“ex post”) return? 20-16/16 =0.25
14-16/16 = 0.125
Question 5 What are the biggest problems with the return measurements in Question 4? How can you choose a realistic expected rate of return for an investment? Question 6 You earned 8.5% on your investment portfolio last year, but the rate of inflation was 3.75%. Calculate your real return. 1+ 8.5 / 1+ 3.75 -1 = 4.58%
Question 7 You earned a 15% return on your investment portfolio last year, while inflation increased by 7%. What was your approximate real rate of return on your investment? Question 8 Why are Treasury bills considered to be risk-free securities? Because they have low expected return and other securities must pay the T-bill rate plus a risk premium to compensate the investors for added risk
Treasury bills are virtually risk-free Backed by the federal government
Usually keep pace with inflation
Question 9 You invest in a small South American mining stock. Briefly describe the following risks that your investment is subject to. Inflation risk - Rising prices will reduce future purchasing power.
Business risk - Variability of a company’s earnings
Political risk - unfavorable changes in policy.
Liquidity risk - Inability to buy or sell a security quickly at a fair price
Interest rate risk - Bond prices will fall when interest rates rise.
Foreign exchange risk – unfavorabke changes in exchange market Default risk – company unable to make intrest payments or repay loans
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Question 10 Explain the difference between systematic risk and non-systematic risk Systematic risk - Risk of investing in a specific security; not affected by diversification
Non systematic risk - Risk of investing in a specific security; reduced by diversification
m
Question 11 You are an economist with an investment dealer and you are asked to provide an assessment of the Canadian economy for next year. Calculate the expected return, variance, standard deviation and coefficient of variation if you estimate that there is a: •
5% chance of a recession in which the market would decline by 70% •
20% chance that the economy will be below average and the market would decline by 25% •
50% chance that the economy will be average and the market will increase by 12% •
20% chance that the economy will grow at an above average rate and the market will increase
by 20% •
5% chance that the economy will boom and the market will increase by 30% Economy Probability NPV Exp. Ret. Variance Recession Below average Average Above average Boom Question 12 You are managing a portfolio which consists of $230,000 in corporate bonds, $95,000 in cash and cash equivalents, and $650,000 in common stocks. If the bonds earn 4.5%, the cash earns 1.5% and the stocks earn 8.0%, what is the weighted average return of the portfolio? 10350 240350
1425. 96425
52000 702000
(230,000 x 0.045 ) + (95,000 x .015) + (650,000 x 0.08) = 63775 = 637.75 %
Question 13 Differentiate between the beta of a portfolio and the alpha of a portfolio Alpha coefficient Measures the portion of an investment’s return coming from specific risk
Beta: Measures the degree to which individual stocks move up and down with the market.
Question 14 You are considering investing in XYZ Inc. common stock, which has a beta coefficient of 1.25. If the
risk-free rate is 3.5% and the return on the market is 7.25%, calculate the expected return. Required Rate = Risk Free Rate+ Beta*(Market Return - Risk Free rate)
3.5% + 1.25 (7.25% - 3.5%) = 8.19%
Question 15: What do growth managers look for in a stock, and how does it differ from what value managers will focus on? FIN 2062 Week 3 Fall 2023 Page 6 Growth managers look for high return stocks in order to grow portfolio They also focus on current and future earnings of individual companies Question 16: Briefly describe the investment strategy of an equity manager who is a sector rotator.
Focus on the economy and invest in industries that will outperform
Use a top-down approach that looks at the economy and then specific industries.
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Question 17: Briefly describe the most basic industry rotation strategy that you would use if stock prices are rising. Question 18: How would a fixed-income manager who is an “interest rate anticipator” adjust his or her portfolio if an increase in interest rates is expected? Explain your answer.
Shorten the term of bond investments
High rates will reduce prices of short-term bonds less than long-term bonds
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Related Questions
Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios: stocks, bonds, or commodities.
Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment:
Stocks
Bonds
Commodities
Probability Return Probability Return Probability Return
20%
15%
0.15
20%
0.6
10%
0.2
0.2
12.5%
0.4
7.5%
0.2
0.25
0.2
0.4
3.8%
0.2
0.2
0%
To maximize your expected return, you should choose
O A. commodities.
B. bonds.
OC. stocks.
OD. All of the portfolios have the same expected return
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Question:
You are an investment advisor. You currently own two stocks, A and B, with the following characteristics:
Expected Return
Beta
X
10%
0.8
Y
16%
1.5
The current risk-free rate is 2 percent, and the expected return on the market is 12 percent. How would you change your holdings of the two stocks (i.e., for each, would you sell or buy more)? Show your calculations (and explain).
Stock A:
Stock B:
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Question 1
e) As a risk averse investor Lawrence will only invest in the portfolio if it has a coefficient of variation that is below 0.75. Should Lawrence invest in the portfolio, please provide
reason(s) to support your response?
f) Assume in 2020 the estimated rate of return of the T&T Stock Exchange Composite Index
for the upcoming year was 8%, and the estimated return on a 1-year treasury note for the
upcoming year was 2%. Using the beta of each security shown in Table 1 above and the market expected returns calculate an expected rate of return for each security
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Question 6
Suppose that an investor has £1,000,000 to invest in a portfolio containing stocks A, B and a risk-free asset. The investor must invest all her money, and she is using the Capital Asset Pricing Model (CAPM) to make predictions of the expected return-beta relationship. Her objective is to create a portfolio that has an expected return of 14% and which has a beta of 0.75. If stock A has an expected return of 30% and a beta of 1.9, stock B has an expected return of 20% and a beta of 1.4, and the risk-free rate is 8%, how much money will she invest in stock A? Explain your answer and show your calculations.
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You want to create a portfolio equally as risky as the market, and you have $5M to invest. Given the
information below, what is your investment in the risk-free asset?
Asset
Stock A
Stock B
Stock C
Risk-free Asset
$0.8M
$0.7M
$0.9M
$1.1M
Investment
$1M
$2M
Beta
0.7
1.25
1.5
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* All three subparts please* You are trying to plan your investments for the next year. You havedecided that the market will either be strong (a bull market), weak (abear market) or normal. You think that stocks, bonds, and bills will earnthe following returns in these scenarios in the table. You have a risk-aversion (A) of 8.
a) What is the expected return for each of the securities?
b) What is the volatility of each security return?
c) What is the covariance between stock and bond returns?
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Risk and Rates of Return; Risk in Portfolio Context
You
are holding
a
investments and the portfilio with the following
Stock
A
B
C
D
Total Investament
Dollar Investment
$250,000
150,000
400,000
200,000
$1,000,000
Beta
1.20
1.60
0.85
-0.15
The market's required return is 11% and the
risk-free rate is 4%. What is the portfolio's
required return? Round your answer to three
places.
decimal
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image question solution
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Given simple required answer
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For DePaul Inc. what is the return for year 2. Round to no decimal points and use
the % symbol (27%...not 27.12%)
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Beta coefficients and the capital asset pricing model Suppose you are wondering how much risk you must undertake to generate an acceptable return on your investment portfolio. The risk-free return currently is 3%. The return on the overall stock market is 12%. Use the CAPM to calculate how high the beta coefficient of your investment portfolio would have to be to achieve each of the following expected portfolio returns.
a.13%
b. 25%
c. 16%
d. 18%
e. Assume you are averse to risk. What is the highest return you can expect if you are unwilling to take more than an average risk?
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Risk return exercise : D2L Assessment #7
DePaul, Inc.
You are searching for a stock to add to your current stock portfolio. You are interested in DePaul, Inc. You realize
that any time you consider a technology stock, it involves elevated risk. The rule you follow is to include only
stocks with a coefficient of variation of returns below 1.02. You have obtained the following price information and
dividend information:
Year
Starting Price
$40.00
Ending price
Quarterly Dividend
1
$42.00
$0.50
$42.00
$47.40
$0.75
3
$47.40
$43.40
$1.00
4
$43.40
$53.40
$1.25
a.
Calculate the annual rate of return for each year, 1 through 4, for DePaul stock
b.
Assume that each year's return is equally probable and calculate the average return over this time period.
Calculate the standard deviation of returns over the 4 years.
Based on b and c determine the coefficient of variation of returns for the security.
Does an investment in this stock fall within the parameters of your investment policy?
С.
d.
e.
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QUESTION 3
Leon has in his investment a portfolio that paid him the rate of returns of 14 %, -13%, 15.6%, 17%
and 19.5% over the past five years. Required:
a) Calculate the arithmetic average return (AAR) and geometric average return (GAR) of the
portfolio? If someone asks you what is the actual compounding rate of return of Leon's
portfolio over the past five year, which one (AAR or GAR) will be a better answer?
b) Following is forecast for economic situation and Leon's portfolio returns next year, calculate
the expected return, variance and standard deviation of the portfolio. .
State of economy
Probability
Rate of returns
Mild Recession
0.25
-2.5%
Normal
0.45
13.5%
Growth
0.30
20%
c) Assume that expected return of the stock A in Leon's portfolio is 13.2%. Beta of this stock is
1.2, risk free rate is 3.5%. Calculate market portfolio rate of return, which is used to compute
the expected return of this stock by Capital Asset Pricing Model (CAPM)?
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You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized
below.
Stock
A
B
с
Investment Beta
$202,000
303,000
505,000
Beta of the portfolio
1.59
Expected rate of return
0.59
Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the
portfolio. Assume that the expected rate of return on the market is 15 percent and that the risk-free rate is 7 percent. (Round beta
answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.)
1.16
%
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You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized
below.
Stock. Investment
A
B
C
$224,000
336,000
560,000
Beta of the portfolio
Beta
Expected rate of return
1.50
0.60
Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the
portfolio. Assume that the expected rate of return on the market is 16 percent and that the risk-free rate is 8 percent. (Round beta
answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.)
1.35
do
%
SUPP
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State
Probability
Expected rate ofReturns on Stock A
Expected rate ofReturns on Stock B
Boom
0.7
0.40
-0.10
Bust
0.3
-0.05
0.30
She would like to invest 80% of his money in stock A and 20% of her money in stock B to construct a portfolio.A) Calculate the portfolio's expected rate of returns and its standard deviation.
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