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(11) The real return objective of Mr. Morisons should reflect the 6.25% spending rate, 1.75% inflation rate and 40 base point cost of earning investment

(11) The real return objective of Mr. Morisons should reflect the 6.25% spending rate, 1.75% inflation rate and 40 base point cost of earning investment return. Estimate his total return.

(a) 14.99%

(b) 9.11%

(c) 13.02%

(d) 08.54%

Answer questions 10-14 following this information. Mean -variance investor risk aversion (RA) level is 2. The expected return and standard deviation of three assets classes are as bellow,

Assets Class Expected Return Standard deviation of return

A 10% 25%

B 8% 15%

C 6% 12%

risk- free rate of return is 3% and the short fall level is 5% select the investors.

(12) Risk adjusted rate of return (Expected utility) is,

A. 7.98%, 5.97% and 9.94%

B. 5.97%, 9.94% and 7.98%

C. 9.94%, 7.98% and 5.97%

D. none of the above

(13) Sharp (Reward volatility) Ratio is,

A. 0.33, 0.22 and 0.28

B. 0.28, 0.33 and0.25

C. 0.22,0.28 and 0.33

D. none of the above

(14) Safety-First Ratio is,

A. 0.083,0.20 and 0.20

B. 0.20, 0.20 and 0.083

C. 0.20, 0.083 and 0.20

D. none of the above

(15) the best asset class is

A. A

B. B

C. C

D. none of the above

(16) You purchased a share of stock for $65. One year later you received $2.37 as a dividend and sold the share for $63. What was your holding-period return?

A. 0.57%

B. -0.2550%

C. -0.89%

D. 1.63%

E. none of the options

(17) You have been given this probability distribution for the holding-period return for

GM stock:

State of the Economy

Probability

HPR

Boom

.40

30%

Normal growth

.40

11%

Recession

.20

-10%

What is the expected standard deviation for GM stock?

A. 16.91%

B. 16.13%

C. 13.79%

D. 15.25%

E. 14.87%

F. 09.80%

(18) Consider a T-bill with a rate of return of 5% and the following risky securities: Security A: E(r) = 0.15; Variance = 0.04 Security B: E(r) = 0.10; Variance = 0.0225 Security C: E(r) = 0.12; Variance = 0.01 Security D: E(r) = 0.13; Variance = 0.0625

From which set of portfolios, formed with the T-bill and any one of the four risky securities, would a risk-averse investor always choose his portfolio?

A. The set of portfolios formed with the T-bill and security A.

B. The set of portfolios formed with the T-bill and security B.

C. The set of portfolios formed with the T-bill and security C.

D. The set of portfolios formed with the T-bill and security D.

E. Cannot be determined.

(19) As the number of securities in a portfolio is increased, what happens to the average

portfolio standard deviation?

A. It increases at an increasing rate.

B. It increases at a decreasing rate.

C. It decreases at an increasing rate.

D. It decreases at a decreasing rate.

E. It first decreases, then starts to increase as more securities are added.

(20) An investor has invested in a portfolio of fixed income and equity securities

which has a current market value of $500,000. This portfolio has an expected

return of 14% with an associated standard deviation of 24%. The investor is

expected to inherit $500,000 soon. He is currently evaluating the following four

index funds as possible investment opportunities to invest this money:

Index Fund

Expected Return

%

Standard Deviation

%

Correlation with Investors Existing Portfolio

Fund A

Fund B

Fund C

Fund C

11

17

15

21

22

26

22

28

+0.60

+0.90

+0.65

+0.80

The investor has two objectives: (i) increase or maintain the current expected return and (ii) reduce or maintain the current risk.

Which fund would you recommend to this investor? Explain why. (No calculations are required.)

  1. fund A
  2. fund B
  3. fund C
  4. fund D

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