Monday, November 11, 2019

Suppose you bought a 10 percent coupon bond one year ago for $950. The face value of the bond is $1,000

Suppose you bought a 10 percent coupon bond one year ago for $950. The face value of the bond is $1,000. The bond sells for $985 today. If the inflation rate last year was 9 percent, what was your total real rate of return on this investment? 
 
A. 
-4.88 percent

B. 
-5.32 percent

C. 
4.78 percent

D. 
9.78 percent

E. 
10.47 percent
Nominal return = ($985 - $950 + $100)/$950 = 0.1421
Real return = [(1 + 0.1421)/(1 + 0.09)] - 1 = 4.78 percent


86.
Calculate the standard deviation of the following rates of return:

    
 
A. 
10.79 percent

B. 
12.60 percent

C. 
13.48 percent

D. 
14.42 percent

E. 
15.08 percent
Average return = (0.07 + 0.25 + 0.14 - 0.15 + 0.16)/5 = 0.094
Standard deviation = √[1/(5 - 1)] [(0.07 - 0.094)2 + (0.25 - 0.094)2 +(0.14 - 0.094)2 +(-0.15 - 0.094)2 + (0.16 - 0.094)2] = 15.08 percent


87.
You've observed the following returns on Crash-n-Burn Computer's stock over the past five years: 2 percent, -12 percent, 16 percent, 22 percent, and 18 percent. What is the variance of these returns? 
 
A. 
0.02070

B. 
0.01972

C. 
0.01725

D. 
0.01684

E. 
0.02633
Average = (0.02 - 0.12 + 0.16 + 0.22 + 0.18)/5 = 0.092
Variance = [1/(5 - 1)] [(0.02 - 0.092)2 + (-0.12 - 0.092)2 + (0.16 - 0.092)2 + (0.22 - 0.092)2 + (0.18 - 0.092)2] = 0.01972

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