a. Assuming that the expectations hypothesis is valid, compute the expected price of the four-year zero coupon bond shown below at the end of (i) the first year; (ii) the second year; (iii) the third year; (iv) the fourth year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Beginning of year	Price of bond	Expected price
1	$973.40
2	$919.97
3	$841.62
4	$788.89

b. What is the rate of return of the bond in years 1, 2, 3, and 4? Conclude that the expected return equals the forward rate for each year. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Beginning of year	Expected Rate of Return
1	%
2	%
3	%
4	%