a. Calculate the annual rate of return for each asset

a. Calculate the annual rate of return for each asset in each of the 10 preceding years, and use those values to find the average annual return for each asset over the 10-year period.

b. Use the returns calculated in part a to find

(1) The standard deviation and

(2) The coefficient of variation, of the returns for each asset over the l0.year period 2000—2009.

c. Use your findings in parts a and b to evaluate and discuss the return and risk associated with each asset. Which asset appears to be preferable? Explain.

d. Use the CAPM to find the required return for each asset. Compare this value with the average annual returns calculated in part a.

e. Compare and contrast your findings in parts c and d. What recommendations would you give Junior with regard to investing in either of the two assets?

Explain to Junior why he is better off using beta rather than the standard deviation and coefficient of variation to assess the risk of each asset.

f. Rework parts d and e under each of the following circumstances:

(1) A rise of 1% in inflationary expectations causes the risk-free rate to rise to 8% and the marker return to rise to 11%.

(2) As a result of favorable political events, investors suddenly become less risk- averse, causing the market return to drop by 1%, to 9%.


Junior Sayou, a financial analyst for Chargers Products, a manufacturer of stadium benches, must eva1uae the risk and return of two assets, X and Y. The firm is considering adding these assets to its diversified asset portfolio. To assess the return and risk of each asset, Junior gathered data on the annual cash flow and beginning- and end-of-year values of each asset over the immediately preceding 10 years, 2000—2009. These data are summarized in the following table (Junior’s investigation suggests that both assets, on average, will tend to perform in the future just as they have during the past 10 years. He therefore believes that the expected annual return can be estimated by finding the average annual return for each asset over the past 10 years.


a. Calculate the annual rate of return for each asset


Junior believes that each asset’s risk can be assessed in two ways: in isolation and as part of the firm’s diversified portfolio of assets. The risk of the assets in isolation can be found by using the standard deviation and coefficient of variation of returns over the past 10 years. The capital asset pricing model (CAPM can be used to assess the asset’s risk as part of the firm’s portfolio of assets. Applying some sophisticated quantitative techniques, Junior estimated betas for assets X and Y of 1.60 and 1.10, respectively. In addition, he found that the risk-free rate is currently 7% and that the marker return is10%.

Capital Asset Pricing Model
The Capital Asset Pricing Model (CAPM) describes the relationship between systematic risk and expected return for assets, particularly stocks. The CAPM is a model for pricing an individual security or portfolio. For individual securities, we make use of the security market line (SML) and its...
Portfolio
A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their fund counterparts, including mutual, exchange-traded and closed funds. A portfolio can also consist of non-publicly...

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