Please solve for question 6

6. Suppose now that you purchased an annuity on Saturday, April 29 which pays you $5000 at the end of each one-year period (that is, on 4-29-24, 4-29-25, etc.) for five years. Using the term structure (that is, the spot and forward rates) from question #5, find the present value and the future value (in 5 years) of this annuity.

5. On Saturday, April 29, I checked the current US Treasury Yields online, and I found the following rates: \begin{tabular}{|c|c|} \hline Time & Yield Rate (spot rate) \\ \hline One Year & 4.74% \\ \hline Two Years & 4.01% \\ \hline Three Years & 3.90% \\ \hline Four Years & 3.70% \\ \hline Five Years & 3.48% \\ \hline \end{tabular} Find the corresponding forward rates for 1,2,3,4, and 5 years