$($Future value$)$ Bob Terwilliger received $$12,345$ for his services as financial consultant

to the mayor$$s office of his hometown of Springfield. Bob says that his consulting

work was his civic duty and that he should not receive any compensation.

So$,$ he has invested his paycheck into an account paying $3\mathrm{.}98$ percent annual interest

and left the account in his will to the city of Springfield on the condition that the city

cannot collect any money from the account for $200$ years. How much money will the

city receive from Bob$$s generosity in $200$ years?

$5-51.($Present value of an uneven stream of payments$)$ You are given three investment

alternatives to analyze. The cash flows from these three investments are as

follows:

INVESTMENT

END OF YEAR A B C

$1$ $$10,000$ $$10,000$

$210,000$

$310,000$

$410,000$

$510,000$ $$10,000$

$610,00050,000$

$710,000$

$810,000$

$910,000$

$1010,00010,000$

Assuming a $20$ percent discount rate, find the present value of each investment$\mathrm{.}5-51.($Present value of an uneven stream of payments$)$ You are given three investment

alternatives to analyze. The cash flows from these three investments are as

follows:

INVESTMENT

END OF YEAR A B C

$1$ $$10,000$ $$10,000$

$210,000$

$310,000$

$410,000$

$510,000$ $$10,000$

$610,00050,000$

$710,000$

$810,000$

$910,000$

$1010,00010,000$

Assuming a $20$ percent discount rate, find the present value of each investment.?

Loan amortization$)$ Mr$.$ Bill S$.$ Preston, Esq., purchased a new house for $$80,000.$

He paid $$20,000$ down and agreed to pay the rest over the next $25$ years in $25$ equal

end$-$of$-$year payments plus $9$ percent compound interest on the unpaid balance.

What will these equal payments be$?$