Problem 12
Holding Period Return A stock has had returns of 18.43 percent, 16.82 percent, 6.83 percent, 32.19 percent, and \(\mathbf{- 1 9 . 8 7}\) percent over the past five years, respectively. What was the holding period return for the stock?
Problem 14
Calculating Returns You purchased a zero coupon bond one year ago for \(\$ 77.81\). The market interest rate is now 9 percent. If the bond had 30 years to maturity when you originally purchased it, what was your total return for the past year?
Problem 15
Calculating Returns You bought a stock three months ago for \(\mathbf{\$ 7 5 . 1 5}\) per share. The stock paid no dividends. The current share price is \(\$ 82.01\). What is the APR of your investment? The EAR?
Problem 19
Calculating Returns and Variability You find a certain stock that had returns of 19 percent, -27 percent, 6 percent, and 34 percent for four of the last five years. If the average return of the stock over this period was 11 percent, what was the stock's return for the missing year? What is the standard deviation of the stock's returns?
Problem 20
Arithmetic and Geometric Returns A stock has had returns of 34 percent, 18 percent, 29 percent, -6 percent, 16 percent, and -48 percent over the last six years. What are the arithmetic and geometric returns for the stock?
Problem 24
Using Return Distributions Suppose the returns on long-term government bonds are normally distributed. Based on the historical record, what is the approximate probability that your return on these bonds will be less than -3.3 percent in a given year? What range of returns would you expect to see 95 percent of the time? What range would you expect to see 99 percent of the time?