Find the amount that must be invested at a rate of 9% per year in order to accumulate $1000 at the end of 3 years:

Find the accumulated value of $5000 over 5 years at 8% compounded quarterly:

Find how much time it will take $1000 to accumulate to $1500 if invested at 6%, compounded semiannually:

Find the future value of 1 at the end of

n years if the force of interest is

, where

t is time:

Find an expression for the accumulated value of $1000 at the end of 15 years if the effective interest rate is

for the first 5 years,

for the second 5 years, and

for the third 5 years:

If you invest $1000 at 8% per year compounded quarterly, find how much can be withdrawn at the end of every quarter to use up the fund exactly at the end of 10 years:

Find the rate, compounded quarterly, at which $16000 is the present value of a $1000 payment paid at the end of every quarter for 5 years:

Find the accumulated value of a 10-year annuity of $100 per year if the effective rate of interest is 5% for the first 6 years and 4% for the last 4 years:

Find the net present value of a $1000 initial investment producing future incoming cash flows:

Find the internal rate of return of an investment with regular cash flows:

In return for receiving $600 at the end of 8 years, a person pays $100 immediately, $200 at the end of 5 years, and a final payment at the end of 10 years. Find the final payment amount that will make the rate of return on the investment equal to 8% compounded semiannually:

Payments of $100, $200, and $500 are due at the end of years 2, 3, and 8, respectively. Find the point in time where a payment of $800 would be equivalent at 5% interest:

Another method to solve the problem above:

Find the effective rate of interest at which the present value of $2000 at the end of 2 years and $3000 at the end of 4 years will be equal to $4000:

Since a loan's balance at any time is equal to the present value of its remaining future payments,

Annuity can be used to create an amortization table:

Graph the principal payoff over time: