Calculate percentages to $3$ decimal places $($for example, $7\mathrm{.}252\%,$ not just $7\%).$ Assume all bonds pay semiannual coupons. Assume a $365-$day year, unless otherwise indicated.

Calculate the value of the following STRIPS:

a$.$ $$100,000$ principal, payable in $5$ years, $6\mathrm{.}680\%$ yield to maturity.

b$.$ $$8,000$ coupon payment, payable in $5\mathrm{.}5$ years, $5\mathrm{.}088\%$ yield to maturity.

c$.$ $$20,000$ coupon payment, payable in $7\mathrm{.}5$ years, $4\mathrm{.}864\%$ yield to maturity.

Calculate the yield to maturity of the following STRIPS:

d$.$ $$100,000$ face value, $$84,660$ asking price, payable in $12$ years.

e$.$ $$5,000$ face value, $$3,880$ asking price, payable in $5$ years.