Problem $15-16($Algo$)$

Suppose that a $1-$year zero$-$coupon bond with face value $$100$ currently sells at $$88\mathrm{.}64,$ while a $2-$year zero sells at $$78\mathrm{.}45.$ You are considering the purchase of a $2-$year$-$maturity bond making annual coupon payments. The face value of the bond is $$100,$ and the coupon rate is $6\%$ per year.

Required:

a$.$ What is the yield to maturity of the $2-$year zero?

b$.$ What is the yield to maturity of the $2-$year coupon bond?

c$.$ What is the forward rate for the second year?

d$.$ If the expectations hypothesis is accepted, what are $(1)$ the expected price of the coupon bond at the end of the first year and $(2)$ the expected holding$-$period return on the coupon bond over the first year?

e$.$ Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?

Complete this question by entering your answers in the tabs below.

What is the yield to maturity of the $2-$year zero?

Note: Do not round intermediate calculations. Round your answer to $3$ decimal places.

$\backslash$table$[[,$Yield to Maturity$],[2-$year zero,$]]$