Warm-Up
You open a savings account that has a 1.5% annual interest rate, compounded monthly. If they deposit $200 every month, how much will be in the account after 5 years?
2-8 Present Value of Investments
Objective: To calculate the present value of a single and periodic deposit investment
Present Value of a Single Deposit Investment
Example 1:
Mr. and Mrs. Johnson know that in 6 years, their daughter Ann will attend State College. She will need about $20,000 for the first year’s tuition. How much should the Johnsons deposit into an account that yields 1.5% interest, compounded annually, in order to have that amount?
Example 2:
Ritika just graduated from college. She wants $100,000 in her savings account after 10 years. How much must she deposit in that account now at a 0.95% interest rate, compounded daily, in order to meet that goal?
Present Value of a Periodic Deposit Investment
Example 3:
Nick wants to install central air conditioning in his home in 3 years. He estimates the total cost to be $15,000. How much must he deposit monthly into an account that pays 1.4% interest, compounded monthly, in order to have enough money?
Homework:
P.119 (2-7)