Problem $10-32($Algo$)$

A $20-$year maturity, $7\mathrm{.}9\%$ coupon bond paying coupons semiannually is callable in seven years at a call price of $$1,155.$ The bond currently sells at a yield to maturity of $6\mathrm{.}9\%(3\mathrm{.}45\%$ per half$-$year$).$

Required:

a$.$ What is the yield to call? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Yield to call

$\%$

b$.$ What is the yield to call if the call price is only $$1,105?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Yield to call

$\%$