$2.$ The price of zero coupon bonds give you the following forward rates $(3$ points$)$

Year Forward rated

$15\%$

$26\mathrm{.}5\%$

$38\%$

$49\%$

i$)$ 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?

ii$)$ 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.

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