Chapter 4 1. Today, you turn 21. Your birthday wish is that you will be a millionaire by your 40th birthday. In an attempt to reach this goal, you decide to save $25 a day, every day until you turn 40. You open an investment account and deposit your first $25 today. What rate of return must you earn to achieve your goal? A. 15.07% B. 15.13% C. 15.17% D. 15.20% E. 15.24% 2. Marko, Inc. is considering the purchase of ABC Co. Marko believes that ABC Co. can generate cash flows of $5,000, $9,000, and $15,000 over the next three years, respectively. After that time, Marko feels ABC will be worthless. Marko has determined that a 14% rate of return is applicable to this potential purchase. What is Marko willing to pay today to buy ABC …show more content…
A. $536,124.93 B. $541,414.14 C. $546,072.91 D. $570,008.77 E. $595,098.67 9. The Bluebird Company has a $10,000 liability it must pay three years from today. The company is opening a savings account so that the entire amount will be available when this debt needs to be paid. The plan is to make an initial deposit today and then deposit an additional $2,500 a year for the next three years, starting one year from today. The account pays a 3% rate of return. How much does the Bluebird Company need to deposit today? A. $1,867.74 B. $2,079.89 C. $3,108.09 D. $4,276.34 E. $4,642.28 10. George Jefferson established a trust fund that provides $150,000 in scholarships each year for worthy students. The trust fund earns a 4.25% rate of return. How much money did Mr. Jefferson contribute to the fund assuming that only the interest income is distributed? A. $3,291,613.13 B. $3,529,411.77 C. $3,750,000.00 D. $4,328,970.44 E. $6,375,000.00 11. You just paid $350,000 for a policy that will pay you and your heirs $12,000 a year forever. What rate of return are you earning on this policy? A. 3.25% B. 3.33% C. 3.43% D. 3.50% E. 3.67% 12. Your rich uncle establishes a trust in your name and deposits $150,000 in it. The trust pays a guaranteed 4% rate of return. How much will you receive each year if the trust is required to pay you all of the interest earnings on an annual basis? A. $3,750 B. $4,000 C. $4,500
Beverly and Kyle Nelson currently insure their cars with separate companies paying $450 and $375 a year. If they insure both cars with the same company, they would save 10 percent on the annual premiums. What would be the future value of the annual savings over ten years based on an annual interest rate of 6 percent?
Poor Dog, Inc. borrowed $135,000 from the bank today. They must repay this money over the next six years by making monthly payments of $2,215.10. What is the interest rate on the loan? Express your answer with annual compounding.
b. If you inherited $100,000 today and invested all of it in a security that paid an 8% rate of return, how much would you have in 15 years?
2. St. Luke’s Convalescent Center has $200,000 in surplus funds that it wishes to invest in marketable securities. If transaction costs to buy and sell the securities are $2,200 and the securities will be
K2B concludes that the investment must earn at least an 8% return. Compute the net present value of this investment. (Round the net present value to the nearest dollar.)
10. An investment of $1,000 today will grow to $1,100 in one year. What is the continuously compounded rate of return?
a. I = 4%, PV = $74,000, N = 20, FV = $162,143 b. FV = $2 million, N = 25, I = 8%, PMT = $27,357 c. PMT = $160,000, N = 20, I = 4%, PV = $2,174,452 d. FV = $3.5 million, N = 30, I = 7%, PMT = $37,052
1. If Mrs. Beach wanted to invest a lump sum of money today to have $100,000 when she retired at 65 (she is 40 years old today) how much of a deposit would she have to make if the interest rate on the C.D. was 5%?
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account? (Bluman, A. G. 2005, page 230).
- The Bet-r-Bilt Company has a 5-year bond outstanding with a 4.30 percent coupon. Interest payments are paid semi-annually. The face amount of the bond is $1,000. This bond is currently selling for 93 percent of its face value. What is the company's pre-tax cost of debt?
a. How much must be invested today in a CD paying 8.4 percent annual interest in order to
11. A 65-year-old wishes to convert the cash value of his insurance policy into an annuity. He can select an annuity that will last 15 years or one that lasts 20 years. If the cash value is $450,000 and interest rates are 5.25%, how much less per year will he receive if he chooses the 20-year annuity?
Debbie wants to have $38,855 in her bank account 5 years from now. The account will pay 0.7% interest per month. How much money does she need to put in her bank account at the end of each month to achieve this goal?
In question four, Janet was asked to solve a question that deals with annuity payments, specifically, ordinary annuities. It starts by asking of how much you will make if you add $2,000 every year and it is compounded by 10% interest every year. These, for the most part, are future value problems. The first one comes out to be a future value of $12,210.20, which does not satisfy the need for $20,000. The next part asks what the value would be if the interest was compounded semiannually. You have to do an equation in order to find out what the effective annual interest rate. Through this equation you come out with a value of 10.25% and after the calculator calculations you come out with a future value of $12,271.11, also not meeting the demand for that first year of college. The next part asks what payment will you need in order to get to that $20,000 number and the present value comes to be $3,275.95. Next, the case asks what original payment you would need in order
9. (Ignore income taxes in this problem.) The Crawford Company is pondering an investment in a machine that