Question $9(1$ point$)$

Silva is contemplating to buy a $20$ year annuity paying $$2500$ at the end of each month. What amount will be required to purchase the annuity, if the annuity provides a return of $6\mathrm{.}75\%$ compounded annually?

a $$334000$

b $$47246$

c $$600000$

d $$37037$

e $$567436$