Can someone pls help me answer this question as soon as possible :) pls show work and formulas, NO EXCEL PLSS $!!!!!!!!!!!!!!!!!!$:$)$

BOND VALUATION An investor has two bonds in his portfolio that have a face value of

$$1,000$ and pay an $11\%$ annual coupon. Bond L matures in $12$ years, while Bond S matures

in $1$ year.

a$.$ What will the value of each bond be if the going interest rate is $6\%,8\%,$ and $12\%?$

Assume that only one more interest payment is to be made on Bond $S$ at its maturity

and that $12$ more payments are to be made on Bond $L.$

b$.$ Why does the longer$-$term bond's price vary more than the price of the shorter$-$term

bond when interest rates change?