Dubois Inc. wishes to accumulate $1,353,000 by December 31, 2024, to retire bond

Question

Dubois Inc. wishes to accumulate $1,353,000 by December 31, 2024, to retire bonds outstanding. The company deposits $223,600 on December 31, 2014, 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 $1,353,000 is available at the end of 2024. (The quarterly deposits will also earn at a rate of 10%, compounded quarterly.) (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)

Explanation / Answer

Deposit made on Dec 31, 2014 = $ 223,600

Interest rate =r = .10/4 = .025

Periods = n = 40

FV = PV (1+r)^n = 223600*(1+.025)^40 = $ 600380

Balance funds required in corpus = $ 1,353,000-$ 6,00380 = $ 752620

Deposit to be made at end of each quarter = PMT ( 0.025,39,752620,1) = $ 11,334

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