Part II: PROBLEMS – Compute a final numerical answer for each of the following problems. You should work out your solutions on loose leaf paper, however, I may or may not collect your worked out solutions. To be safe, however, I suggest that you write out a solution for every problem and be ready to turn it in if asked. Round all dollar answers to 2 decimal places, round time (years or months) answers to one (1) decimal place and record interest rates as percent values rounded to one (1) decimal place. However, be sure to NOT input a dollar sign, commas, or percent sign on D2L. For example, record $3,284.33965 as 3284.34, record 37.285432 years as 37.3 and record .064358 = 6.4358% as 6.4.
1. Walt is evaluating an investment that will provide the following returns at the end of each of the following years: year 1, $12,500; year 2, $10,000; year 3, $7,500; year 4, $5,000; year 5, $2,500; year 6, $0; and year 7, $12,500. Walt believes that he should earn an annual rate of 8 percent on this investment. How much should he pay for this investment?
2. Desmond Miles has $1,500 that he will use as a down payment on a car. Assuming that he can afford a payment of $225 per month, how much can Desmond spend on a car (that is, what is the total cost of the car that Desmond can purchase) if the interest rate is 5.75% and if he will finance his purchase with a 5 year, monthly payment loan?
3. Assume that I am trying to borrow money from you to finance my business. Assume that I promise to repay you in three installments, one payment of $5,000 to be made exactly 2 years from today, a second payment of $10,000 to be made exactly 5 years from today, and a final payment of $15,000 to be made 8 years from today. If your opportunity cost of funds is 7.5% p.a., (that is, use an interest rate of 7.5% for this question), how much should be willing to lend me today?
4. If you wanted to fund a scholarship that would pay $12,500 per year forever at GSU, how much would you have to deposit today if you wanted the scholarship to start paying five (5) years from today? Assume the endowment could earn 6.25% p.a. interest forever. 5. You currently owe $20,000 on a car loan at 8.25 percent interest. If you make monthly payments of $596.59 per month, how long (i.e., number of months rounded to one decimal place) will it take you to fully repay the loan?
6. You must make a payment of $3,800 exactly 8 years from today. To prepare for this payment, you will make 5 equal deposits into an account that pays a nominal interest rate of 7.6% p.a., with quarterly compounding. If your first deposit is made today (and then you make four additional deposits in each of the next four quarters – that is, a deposit 3 months from today, another 6 months from today and so on), what must each of the 5 payments be for you to exactly achieve your goal?
USE THE INFORMATION BELOW TO ANSWER THE FOLLOWING THREE QUESTIONS Vito Scaletta just bought his dream car, 2014 Aston Martin DB9 that cost $208,700. He paid $35,000 down and financed the balance over 84 months at 6.25% p.a. (Assume that Vito makes all required payments on time).
7. What is the monthly payment on Vito’s loan?
8. What will the balance on Vito’s loan be at the end of the fourth year (that is, immediately after Vito makes his 48th payment on the loan)?
9. What is the total amount of interest that Vito will pay over the entire term of the loan (that is, the total amount of interest that is paid on payments 1 through 84)?
10. Today is your 30th birthday and you have a dream of retiring on your 65th birthday. You want to put aside however much is necessary on your 31st through 65th birthdays (35 annual payments) to have enough to retire. You've estimated that you will live until you are 90 and you want the first withdrawal to occur on your 66th birthday, with the last payment occurring on your 90th birthday. You think that you will need $150,000 per year to spend during retirement. You estimate constant interest rates of 11.25%. Assuming that you currently have $7,500 deposited in your retirement account, how much must you put aside each year in order to have sufficient money to retire at age 65?
11. John Keene recently invested $5,000 in a project that is promising to return 6.5 percent per year. The cash flows are expected to be as follows:
End of Cash
Year Flow
1 $1000
2 950
3 875
4 ???
5 850
Note that the 4th year cash flow is unknown. Assuming the present value of this cash flow stream is $5,000 (that is, CF0 = -5000), what is the missing cash flow value (that is, what is the cash flow at the end of the 4th year)?
12. You have a $25,000 balance on your credit card. You plan to make monthly payments of $450 until the balance is paid off. The interest rate on your credit card is 17.5% p.a., compounded monthly. A letter in the mail informs you that you are approved for a new credit card and balance transfers are subject to a 9.5% p.a., compounded monthly. How many months sooner will you pay off your bill?