Suppose you just bought an annuity with $25$ annual payments of $$7,900$ per year at the current interest rate of $12$ percent per year.

a$.$ What is the value of your annuity today?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ What happens to the value of your investment if interest rates suddenly drop to $7$ percent?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

c$.$ What if interest rates suddenly rise to $17$ percent?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$