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Exam 14: Time Value of Money

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Question 21

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The present value of four $10,000 semiannual payments invested for 2 years at 12% compounded semiannually is $43,746. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A) True
B) False

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Question 22

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In a present value or future value table, the length of one time period may be interpreted as one year, one month, or any other length of time.

A) True
B) False

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Question 23

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Kelsey has a loan that requires a $25,000 lump sum payment at the end of three years. The interest rate on the loan is 5%, compounded annually. How much did Kelsey borrow today?

A company borrows money from the bank by promising to make 8 semiannual payments of $9,000 each. How much is the company able to borrow if the interest rate is 10% compounded semiannually?

What annual interest rate is required to accumulate $6,802.50 in four years from an investment of $5,000? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

Molly borrows money by promising to make a single payment of $100,000 at the end of 5 years. How much money is Molly able to borrow if the interest rate is 10%, compounded semiannually? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

Present and future value computations enable companies to measure or estimate the interest component of holding assets or liabilities over time.

Chris wants to accumulate $100,000 in 5 years. He plans on making equal semiannual deposits into an investment account that earns 12% semiannually in order to reach his goal. How much must Chris invest every six months? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

City Peewee League borrowed $883,212, and must make annual year-end payments of $120,000 each. If City's interest rate is 6%, how many years will it take to pay off the loan?

The interest rate is also called the ________ rate.

Which column (i) and row (n) would you use from a present value or future value table for 8% interest compounded quarterly for 6 years?

A company is setting up a sinking fund to pay off $8,654,000 in bonds that are due in 7 years. The fund will earn 7% interest, and the company intends to put away a series of equal year-end amounts for 7 years. What is the amount of the annual deposits that the company must make?

Explain the concept of the present value of a single amount.

Protocol Company has acquired equipment from a dealer that requires equal payments of $12,000 at the end of each of the next five years. This transaction includes interest at 9%, compounded annually. What is the value of the machine today?

Future value can be found if the interest rate (i), the number of periods (n), and the present value (p) are known.

Which interest rate column would you use from a present value or future value table for 8% interest compounded quarterly?

The future value of an ordinary annuity is the accumulated value of each annuity payment excluding interest as of the date of the final payment.

A company expects to invest $5,000 today at 12% annual interest and plans to receive $15,529 at the end of the investment period. How many years will elapse before the company accumulates the $15,529? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A company needs to have $150,000 in 5 years, and will create a fund to insure that the $150,000 will be available. If it can earn a 6% return compounded annually, how much must the company invest in the fund today to equal the $150,000 at the end of 5 years?

A company has $50,000 today to invest in a fund that will earn 7%. How much will the fund contain at the end of 8 years?