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Exam 6: Discounted Cash Flow Valuation

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Question 1

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You are considering two savings options. Both options offer a 7.4 percent rate of return. The first option is to save $900, $2,100, and $3,000 at the end of each year for the next three years, respectively. The other option is to save one lump sum amount today. If you want to have the same balance in your savings account at the end of the three years, regardless of the savings method you select, how much do you need to save today if you select the lump sum option?

A) $4,410
B) $4,530
C) $4,600
D) $5,080
E) $5,260

F) B) and C)
G) B) and D)

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Question 2

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You are paying an effective annual rate of 18.974 percent on your credit card. The interest is compounded monthly. What is the annual percentage rate on this account?

A) 17.50 percent
B) 18.00 percent
C) 18.25 percent
D) 18.64 percent
E) 19.00 percent

F) None of the above
G) A) and B)

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Question 3

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What is the present value of $1,100 per year, at a discount rate of 10 percent if the first payment is received 6 years from now and the last payment is received 28 years from now?

You are considering an annuity which costs $160,000 today. The annuity pays $18,126 a year at an annual interest rate of 7.50 percent. What is the length of the annuity time period?

Your parents have made you two offers. The first offer includes annual gifts of $10,000, $11,000, and $12,000 at the end of each of the next three years, respectively. The other offer is the payment of one lump sum amount today. You are trying to decide which offer to accept given the fact that your discount rate is 8 percent. What is the minimum amount that you will accept today if you are to select the lump sum offer?

You are comparing two annuities which offer quarterly payments of $2,500 for five years and pay 0.75 percent interest per month. Annuity A will pay you on the first of each month while annuity B will pay you on the last day of each month. Which one of the following statements is correct concerning these two annuities?

You have just purchased a new warehouse. To finance the purchase, you've arranged for a 30-year mortgage loan for 80 percent of the $2,600,000 purchase price. The monthly payment on this loan will be $11,000. What is the effective annual rate on this loan?

The preferred stock of Casco has a 5.48 percent dividend yield. The stock is currently priced at $59.30 per share. What is the amount of the annual dividend?

Your great aunt left you an inheritance in the form of a trust. The trust agreement states that you are to receive $3,600 on the first day of each year, starting immediately and continuing for 20 years. What is the value of this inheritance today if the applicable discount rate is 6.75 percent?

You are considering two loans. The terms of the two loans are equivalent with the exception of the interest rates. Loan A offers a rate of 7.75 percent, compounded daily. Loan B offers a rate of 8 percent, compounded semi-annually. Which loan should you select and why?

You have been investing $250 a month for the last 13 years. Today, your investment account is worth $73,262. What is your average rate of return on your investments?

Gene's Art Gallery is notoriously known as a slow-payer. The firm currently needs to borrow $27,500 and only one company will even deal with them. The terms of the loan call for daily payments of $100. The first payment is due today. The interest rate is 21.9 percent, compounded daily. What is the time period of this loan? Assume a 365 day year.

You need some money today and the only friend you have that has any is your miserly friend. He agrees to loan you the money you need, if you make payments of $25 a month for the next six months. In keeping with his reputation, he requires that the first payment be paid today. He also charges you 1.5 percent interest per month. How much money are you borrowing?

Will has been purchasing $25,000 worth of New Tek stock annually for the past 11 years. His holdings are now worth $598,100. What is his annual rate of return on this stock?

What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.

You need $25,000 today and have decided to take out a loan at 7 percent for five years. Which one of the following loans would be the least expensive? Assume all loans require monthly payments and that interest is compounded on a monthly basis.

You just settled an insurance claim. The settlement calls for increasing payments over a 10-year period. The first payment will be paid one year from now in the amount of $10,000. The following payments will increase by 4.5 percent annually. What is the value of this settlement to you today if you can earn 8 percent on your investments?

This morning, you borrowed $9,500 at 7.65 percent annual interest. You are to repay the loan principal plus all of the loan interest in one lump sum four years from today. How much will you have to repay?

You want to buy a new sports coupe for $41,750, and the finance office at the dealership has quoted you an 8.6 percent APR loan compounded monthly for 48 months to buy the car. What is the effective interest rate on this loan?

You grandfather won a lottery years ago. The value of his winnings at the time was $50,000. He invested this money such that it will provide annual payments of $2,400 a year to his heirs forever. What is the rate of return?