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of 5% per year for 10 years. Omar Example 5 Jackson invests $100 in an account earning interest at a rate of 5% per year for
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Answer #1
a) As time horizon of investment in account of Jackson is double(i.e. 10 years) than that of Omar(i.e. 5 years), Jackson will get slightly greater return even rate of interest that Jackson is earning is 5% which is half of Omar.
This is because of compounding effect of the amount in a long duration. Interest earned on interest offsets the lower interest rate. However, if the horizon of investment is small interest on interest earned is less.
b) Value of investments 162.88946
161.05100
Investment value of jackson = Intial amount * (1+rate of interest)^(period of investment)
Investment value of jackson = 100*(1.05)^10
$162.89
Investment value of Omar = Intial amount * (1+rate of interest)^(period of investment)
Investment value of jackson = 100*(1.10)^5
$161.05
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