Scott's recently departed Uncle Jeremy, left Scott a $25$ year annuity $(25$ annual payments$).$ He will receive the first payment of $$5,000$ in $4$ years from today, and payments will grow at a constant rate of $5\%$ per year thereafter.

Answer the following:

i$)$ present value of inheritance if discounting at $3\%$ EAR

a$)154,335$

b$)137,125$

c$)82,432$

d$)141,239$

e$)74,362$

f$)$ no solution

ii$)$ present value of inheritance if discounting at $5\%$ EAR

a$)102,838$

b$)119,048$

c$)125,000$

d$)100,000$

e$)108,279$

f$)$ no solution

iii$)$ present value of inheritance if discounting at $10\%$ EAR

a$)68,745$

b$)75,362$

c$)190,003$

d$)51,648$

e$)46,954$

f$)$ no solution