Exam 5: Time Value of Money 2: Analyzing Annuity Cash Flows

If the future value of an ordinary, 7-year annuity is $10,000 and interest rates are 4 percent, what is the future value of the same annuity due?

A car company is offering a choice of deals. You can receive $600 cash back on the purchase, or a 2 percent APR, 4-year loan. The price of the car is $18,900 and you could obtain a 4-year loan from your credit union at 6 percent APR. What is the monthly payment of each deal?

Your client has been given a trust fund valued at $1 million. She cannot access the money until she turns 68 years old, which is in 12 years. At that time, she can withdraw $30,000 per month. If the trust fund is invested at a 7 percent interest rate, how many months will it last your client once she starts to withdraw the money?

Your current $115,000 mortgage calls for monthly payments over 30 years at an annual rate interest rate of 7 percent. If you pay an additional $50 each month beginning with the first payment, how much interest expense do you save by pre-paying?

You have reviewed your budget and determine that the most you can afford on a car loan is $455 per month. What is the most you can borrow if interest rates are 7 percent and you can pay the loan over four years?

Bank A charges a 7.50 percent annual percentage rate and interest is due at the end of the year. Bank B charges a 6.95 percent annual percentage rate and interest must be paid monthly. What is the effective annual rate charged by each bank?

People refinance their home mortgages:

When moving from the left to the right of a time line, we are using:

In order to discount multiple cash flows to the present, one would use:

Given an 8 percent interest rate, compute the year 7 future value if deposits of $1,500 and $2,500 are made in years 2 and 3, respectively, and a withdrawal of $2,000 is made in year 5.

What is the interest rate of a 6-year, annual $10,000 annuity with a present value of $40,000?

You deposit $1,000 today and want to save $100 each month beginning one month from today. Your account earns a 5 percent annual interest rate. How long will it take you to accumulate $5,000?

Sally saves $500 per month in her retirement plan. She plans on making monthly contributions for 35 years. If her account earns a 12 percent annual interest rate, how much will she have at the end of 35 years and what percent of the total are her out-of-pocket contributions?

Your company borrows $55,000 today to fund its growth initiatives. It must repay the bank in four annual payments of $17,100 at the end of each year. What annual interest rate is your firm paying?

When you get your credit card bill, if you make a payment larger than the minimum payment:

Jasmine has decided that she wants to build enough retirement wealth that, if invested at 6 percent per year, will provide her with $3,000 of monthly income for 30 years. To date, she has saved nothing but she still has 25 years until she retires. Jasmine believes that she can earn 6 percent on her investments until she retires. How much money does she need to contribute per month to reach her goal?

Given a 6 percent interest rate, compute the year 6 future value of deposits made in years 1, 2, 3, and 4 of $1,200, $1,400, $1,400, and $1,500.

Payday loans are very short-term loans that charge very high interest rates. You can borrow $600 today and repay $675 in two weeks. What is the compound annual rate implied by this 12.5 percent rate charged for only two weeks?

Assume that you contribute $200 per month to a retirement plan for 15 years. Then you are able to increase the contribution to $400 per month for another 25 years. Given a 5 percent interest rate, what is the value of your retirement plan after 40 years?

Isaac realizes that he charged too much on his credit card and has racked up $5,000 in debt. If he can pay $225 each month and the card charges 17.55 percent APR (compounded monthly), how long will it take him to pay off the credit card?