Practice Problems for Ch5 Fina5003

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.

21. Universal Forests current stock price is $154.00 and it is likely to pay a $5.23 dividend next year. Since analysts estimate Universal Forest will have a 13.0% growth rate what is the required return?

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?

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?

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%?

12. Today, you deposit $10,750 in a bank account that pays 3 percent simple interest. How much interest will you earn over the next 7 years?

8-1. AEH, Inc. just paid a $1.00 dividend and is expected to pay a $1.06 dividend next year. What is AEH’s capital gains yield (growth rate, “g”)?

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).

14. ABC’s stock price is currently at $5.00 per share. You believe that there is a 10% chance that the

The interest rate of a term deposit is at 5.2% per annum. Available investment fund is $200,000. Term Deposit will yield $10,400 p.a. by using $200,000 multiply by 5.2%. However, for compounded interest rate, 5 years investment will be $257,697 (ROI = $57,697). And 10 years investment will be $332,038 (ROI = $132,038), assume that the interest rate is constant within 10 years period. The risk is considered minimal.

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

5. You need $75,000 in 10 years. If you can earn 0.55 percent per month, how much will you have to deposit today?

Returning to the example above, you put 10 million in an account with compounding interest rate of 8% / year. After 10 years, how much money do you have? (including principal and interest)