Exam 14: Time Value of Money

The future value of $100 compounded semiannually for 3 years at 12% equals $140.49. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

The number of periods in a future value calculation may only be expressed in years.

A company is setting aside $21,354 today, and wishes to have $30,000 at the end of three years for a down payment on a piece of property. What interest rate must the company earn?

A company is considering investing in a project that is expected to return $350,000 four years from now. How much is the company willing to pay for this investment if the company requires a 12% return? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

What amount can you borrow if you make six quarterly payments of $4,000 at a 12% annual rate of interest? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

Hao made a single investment which, after 5 years invested at 12% compounded semiannually, has accumulated to $214,900. How much did Hao invest initially? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

The present value of eight $5,000 semiannual payments invested for 4 years at 8% compounded semiannually is $33,663.50. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

To calculate present value of an amount, two factors are required: The ________ and the________.

Marc Lewis expects an investment of $25,000 to return $6,595 annually. His investment is earning 10% per year. How many annual payments will he receive? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

The present value of an annuity table can be used to determine the value today of a series of payments to be received in the future.

The present value of $2,000 to be received nine years from today at 8% interest compounded annually is $1,000.40. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A company is creating a fund today by depositing $65,763. The fund will grow to $90,000 after 8 years. What annual interest rate is the company earning on the fund?

From the perspective of an account holder, a savings account is a liability with interest.

A company has $46,000 today to invest in a fund that will earn 4% compounded annually. How much will the fund contain at the end of 6 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

Jackson has a loan that requires a $17,000 lump sum payment at the end of four years. The interest rate on the loan is 5%, compounded annually. How much did Jackson borrow today?

Jackson has a loan that requires a $17,000 lump sum payment at the end of four years. The interest rate on the loan is 5%, compounded annually. How much did Jackson borrow today? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

Clara is setting up a retirement fund, and she plans on depositing $5,000 per year in an investment that will pay 7% annual interest. How long will it take her to reach her retirement goal of $69,082? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

The present value factor for determining the present value of $6,300 to be received three years from today at 10% interest compounded semiannually is 0.7462. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

You are little late planning your retirement, but are looking forward to retiring in 10 years. You expect to save $6,000 a year at an annual rate of 8%. How much will you have accumulated when you retire?

Mason Company has acquired a machine from a dealer that requires a payment of $45,000 at the end of five years. This transaction includes interest at 8%, compounded semiannually. What is the value of the machine today?