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. Omar invests $3,000 at 12% interest, compounded semiannually for 2 years. Calculate the effective interest rate for his investment. (Round to nearest hundredth percent)

b.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)



Refer to Narrative 11-1. Seymour wants to have $10,500 in 9 years. Calculate how much he should invest now at 6% interest, compounded quarterly in order to reach this goal.


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. Effective Interest rate = (1+r)n -1

r = semiannual rate of interest = 6%

n = No. Of times compounding

Effective Interest rate = (1+0.06)2

= 1.1236-1

= 0.1236 or 12.36%

b. how much seymore have to invest :-

Compute the new factor

Rate = 6% annually and 1.5% Quarterly

Years = 9

Quarters = 36

Factor = (1+r)n

r= 1.5%

n = 3

Factor = (1+0.015)36 = 1.70914

Amount = Investment * Factor

10500 = Investment*1.70914

Investment = 6143.44

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