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Assume you are to receive a $20-$year annuity with annual payments of $$50.$ The first

payment will be received at the end of Year $1,$ and the last payment will be received at

the end Year $20.$ You will invest each payment in an account that pays $10$ percent. What

will be the value in your account at the end of Year $40?$

a$.$ $$19,265\mathrm{.}88$

b$.$ $$21,427\mathrm{.}69$

c$.$ $$27,922\mathrm{.}33$

d$.$ $$29,591\mathrm{.}00$

e$.$ None of the above