The price of zero coupon bonds give you the following forward rates $(3$ points$)$

Year

Forward rated

$1$

$5\%$

$2$

$6\mathrm{.}5\%$

$3$

$8\%$

$4$

$9\%$

What is the price of a zero coupon bond that is purchased today and matures in $2$ years? What is the expected total rate of return?

What is the price of a $4$ year $6\%$ coupon bond, par value $$1000?$ If you purchased at that price, what would your total expected rate of return be over the $4$ year period.

Under the expectations hypothesis, what is the expected realized coupon yield of the coupon bond?