Chat with us, powered by LiveChat Question P3-21. Find the present value of a 3-year, $20,000 ordinary annuity deposited into an | Writedemy

Question P3-21. Find the present value of a 3-year, $20,000 ordinary annuity deposited into an

Question P3-21. Find the present value of a 3-year, $20,000 ordinary annuity deposited into an

Question

P3-21. Find the present value of a 3-year, $20,000 ordinary annuity deposited into an account that pays 12 percent interest, compounded monthly. Solve for the present value of the annuity in the following ways:

a. As three single cash flows discounted at the stated rate of interest

b. As three single cash flows discounted at the appropriate effective rate of interest

c. As a 3-year annuity discounted at the effective rate of interest

P3-22. Answer parts a–c for each of the following cases. Answer parts a–c for each of the following cases.

Case Amount of Initial Deposit ($) Stated Annual Rate, r(%) Compounding Frequency, m (times/year) Deposit Period (years)
A 2,500 6 2 5
B 50,000 12 6 3
C 1,000 5 1 10
D 20,000 16 4 6

a. Calculate the future value at the end of the specified deposit period.

b. Determine the effective annual rate (EAR).

c. Compare the stated annual rate (r) to the effective annual rate(EAR). What relationship exists between compounding frequency and the stated and effective annual rates?

P3-23. John Tye has just been hired as the new corporate finance analyst at I-Ell Enterprises and has received his first assignment. John is to take the $25 million in cash received from a recent divestiture and use part of these proceeds to retire an outstanding $10 million bond issue and the remainder to repurchase common stock. However, the bond issue cannot be retired for another two years. If John can place the funds necessary to retire this $10 million debt into an account earning 6 percent compounded monthly, how much of the $25 million remains to repurchase stock?

P3-24. Jason Spector has shopped around for the best interest rates for his investment of $10,000 over the next year. He has found the following:

Stated Rate Compounding
6.10% Annual
5.90% Semiannual
5.85% Monthly

a. Which investment offers Jason the highest effective rate of return?

b. Now, assume that Jason wishes to invest his money for only six months and the annual compounded rate of 6.10 percent is not available. Which of the remaining investments should Jason choose?

P3-25. Tara Cutler is newly married and is now preparing a surprise gift of a trip to Europe for her husband on their tenth anniversary. Tara plans to invest $5,000 per year until that anniversary and plans to make her first $5,000 investment on their first anniversary. If she earns an 8 percent rate on her investments, how much will she have saved for their trip if the interest is compounded in each of the following ways?

a. Annually

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