## College Fund Example

Calculate the college fund required to start a four year college program in 15 years time. The tuition fees are currently 12,000 and are first payable at the start of year 16. Inflation is 4% and the rate of return is 9%. In addition, calculate the lump sum which needs to be invested today to provide the college fund.

## Individual Retirement Account Example

An individual retirement annuity account is opened with a deposit of 5,000 and since opening 200 is deposited into the account at the end of every week. The individual retirement account pays annual interest of 8.1% compounded every week with each deposit. How much will be in the account after 10 years?

## Mortgage Loan Amount Example

You have a deposit saved for a house of 10,000 and decide that the maximum mortgage payment you can make is 800 per month at the end of each month. The annual mortgage interest rate is 6.2% and you want to finish paying the mortgage off after 25 years. What is the maximum house price you can afford.

## Auto Loan Payment Example

A car is financed using a three-year loan. The loan has a 8% nominal annual interest rate, compounded monthly. The price of the car is 7,000, and a deposit of 2,000 is paid in cash. Calculate the monthly auto loan payments, assuming that the payments start one month after the purchase.

## ER2 Effective Interest Rate Examples

Calculate the present value of an annuity of 600.00 per quarter for 2 years, if interest is compounded every 6 months at the nominal rate of 9%.

## ER1 Effective Interest Rate Examples

Find the present value of an annuity due of 300 per quarter for 3 years, if interest is compounded monthly at the nominal rate of 9%.