Question

Solve the following problems using either Tables 11-1 or 11-2 from your text. When necessary, create new table factors. (Round new table factors to five decimal places, round dollars to the nearest cent and percents to the nearest hundredth of a percent)



a.Refer to Narrative 11-1. Calculate the compound interest on an investment of $45,000 at 6% interest, compounded quarterly, for 3 years.

b.Refer to Narrative 11-1. You wish to have $17,000 in 11 years. Find how much you should invest now at 12% interest, compounded quarterly in order to have $17,000, 11 years from now. Then calculate the amount of interest.

Table 11-1: Compound Interest Table (Future Value of $1 at Compound Interest) (1 of 2) Periods Periods 1 2 1% 2% 3% 4% 5% 6%



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Answer #1

a) In the question, it is not given that 6% is for per annum therefore I am assuming it to be for a quarter only.

Now the formula for Compound Interest(C.I.) - Present Value* [(100+ Interest%)/100]Power=The no. of times interest is compounded- Present Value

or

C.I.= Present Value*Future value Annuity Factor-Present Value

So, C.I.    = 45000*Future value annuity factor of 12 quarters at 6% rate of interest

= 45000*2.01220-45000

Answer = $90549-45000= $45,549

b) Now, the formula for Present value = Future value* 1/Compounded value annuity factor of 44 quarters at 12% rate of interest

= 17000*1/146.41750

= $116.10

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