Question 5.

You own a $1,000-par zero-coupon bond that has six years of remaining maturity. You plan on selling the bond in one year and believes that the required yield next year will have the following probability distribution:

Probability	Required Yield
0.1	7.70%
0.2	7.85%
0.3	8.10%
0.2	8.30%
0.1	8.55%
0.1	8.75%

a. What is the expected price of the bond at the time of sale?

b. What is the standard deviation of the bond price?