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Question:Jose Oliva is considering two investment options for a $1,500 gift he received for graduation. Both investments have 8% annual interest rates. One offers quarterly compounding; the other compounds on a semiannual basis. Which investment should he choose? Why?

Short Answer

Expert verified

Jose Oliva should choose the quarterly compounding as he could earn$3 more

Step by step solution

01

Step-by-Step SolutionStep 1 Semi-annual Compounding

Semiannualcompounding=Amount×Interestrate=1500×1.16986=$1755

02

Quarterly compounding

Quarterlycompounding=Amount×Interestrate=1500×1.171166=$1758

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Most popular questions from this chapter

Consolidated Natural Gas Company (CNG), with corporate headquarters in Pittsburgh, Pennsylvania, is one of the largest producers, transporters, distributors, and marketers of natural gas in North America.

Periodically, the company experiences a decrease in the value of its gas- and oil-producing properties, and a special charge to income was recorded in order to reduce the carrying value of those assets.

Assume the following information. In 2016, CNG estimated the cash inflows from its oil- and gas-producing properties to be \(375,000 per year. During 2017, the write-downs described above caused the estimate to be decreased to \)275,000 per year. Production costs (cash outflows) associated with all these properties were estimated to be \(125,000 per year in 2016, but this amount was revised to \)155,000 per year in 2017.

Instructions (Assume that all cash flows occur at the end of the year.)

(a) Calculate the present value of net cash flows for 2016–2018 (three years), using the 2016 estimates and a 10% discount factor.

(b) Calculate the present value of net cash flows for 2017–2019 (three years), using the 2017 estimates and a 10% discount factor.

(c) Compare the results using the two estimates. Is information on future cash flows from oil- and gas-producing properties useful, considering that the estimates must be revised each year? Explain.

Presented below are three unrelated situations.

(a) Dwayne Wade Company recently signed a lease for a new office building, for a lease period of 10 years. Under the lease agreement, a security deposit of \(12,000 is made, with the deposit to be returned at the expiration of the lease, with interest compounded at 5% per year. What amount will the company receive at the time the lease expires?

(b) Serena Williams Corporation, having recently issued a \)20 million, 15-year bond issue, is committed to make annual sinking fund deposits of \(600,000. The deposits are made on the last day of each year and yield a return of 10%. Will the fund at the end of 15 years be sufficient to retire the bonds? If not, what will the deficiency be?

(c) Under the terms of his salary agreement, president Rex Walters has an option of receiving either an immediate bonus of \)55,000, or a deferred bonus of $70,000 payable in 10 years. Ignoring tax considerations and assuming a relevant interest rate of 4%, which form of settlement should Walters accept?

Assuming the same facts as those in E6-18 except that the payments must begin now and be made on the first day of each of the 15 years, what payment method would you recommend?

Question: Explain how the future value of an ordinary annuity interest table is converted to the future value of an annuity due interest table.

Ricky Fowler borrowed $70,000 on March 1, 2015. This amount plus accrued interest at 6% compounded semiannually is to be repaid March 1, 2025. To retire this debt, Ricky plans to contribute to a debt retirement fund five equal amounts starting on March 1, 2020, and for the next 4 years. The fund is expected to earn 5% per annum. Instructions How much must be contributed each year by Ricky Fowler to provide a fund sufficient to retire the debt on March 1, 2025?

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