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Question:What are the primary characteristics of an annuity? Differentiate between an 鈥渙rdinary annuity鈥 and an 鈥渁nnuity due.鈥

Short Answer

Expert verified

The annuity has periodic payment and rents occur in beginning in annuities due, rents occur at end of the period in an ordinary annuity

Step by step solution

01

Step-by-Step SolutionStep 1 Characteristics of annuity

An annuity involves the following characteristics:

Periodic payments or receipts called rents,

Of the same amount

Spread over equal intervals

With interest compounded once each interval

02

Difference between an ordinary annuity and annuity due

In ordinary annuities, the rents occur at the end of the intervals but in annuities, due rents occur at beginning of each of the intervals or each time period

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Most popular questions from this chapter

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

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?

The Procter & Gamble Company (P&G)

The financial statements of P&G are presented in Appendix B. The company鈥檚 complete annual report, including the notes to the financial statements, is available online.

Instructions (a) Examining each item in P&G鈥檚 balance sheet, identify those items that require present value, discounting, or interest computations in establishing the amount reported. (The accompanying notes are an additional source for this information.)

(b) (1) What interest rates are disclosed by P&G as being used to compute interest and present values?

(2) Why are there so many different interest rates applied to P&G鈥檚 financial statement elements (assets, liabilities, revenues, and expenses)?

Answer the following questions related to Dubois Inc.

(a) Dubois Inc. has \(600,000 to invest. The company is trying to decide between two alternative uses of the funds. One alternative provides \)80,000 at the end of each year for 12 years, and the other is to receive a single lump-sum payment of \(1,900,000 at the end of the 12 years. Which alternative should Dubois select? Assume the interest rate is constant over the entire investment.

(b) Dubois Inc. has completed the purchase of new Dell computers. The fair value of the equipment is \)824,150. The purchase agreement specifies an immediate down payment of \(200,000 and semiannual payments of \)76,952 beginning at the end of 6 months for 5 years. What is the interest rate, to the nearest percent, used in discounting this purchase transaction?

(c) Dubois Inc. loans money to John Kruk Corporation in the amount of \(800,000. Dubois accepts an 8% note due in 7 years with interest payable semiannually. After 2 years (and receipt of interest for 2 years), Dubois needs money and therefore sells the note to Chicago National Bank, which demands interest on the note of 10% compounded semiannually. What is the amount Dubois will receive on the sale of the note?

(d) Dubois Inc. wishes to accumulate \)1,300,000 by December 31, 2027, to retire bonds outstanding. The company deposits \(200,000 on December 31, 2017, which will earn interest at 10% compounded quarterly, to help in the retirement of this debt. In addition, the company wants to know how much should be deposited at the end of each quarter for 10 years to ensure that \)1,300,000 is available at the end of 2027. (The quarterly deposits will also earn at a rate of 10%, compounded quarterly.) (Round to even dollars.)

Using the appropriate interest table, answer each of the following questions. (Each case is independent of the others.) (a) What is the future value of \(7,000 at the end of 5 periods at 8% compounded interest? (b) What is the present value of \)7,000 due 8 periods hence, discounted at 6%? (c) What is the future value of 15 periodic payments of \(7,000 each made at the end of each period and compounded at 10%? (d) What is the present value of \)7,000 to be received at the end of each of 20 periods, discounted at 5% compound interest?

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