In investor has two bonds in his portfolio that have a face value of $$1,000$ and pay a $12\%$ annual coupon. Bond $L$ matures in $11$ years, while Bond $S$ matures in $1$ year.

a$.$ What will the value of the Bond $L$ be if the going interest rate is $7\%,9\%,$ and $13\%?$ Assume that only one more interest payment is to be made on Bond $S$ at its maturity and that $11$ more payments are to be made on Bond L$.$ Round your answers to the nearest cent.

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