10. Calculate the future value of $2000 in a. 5 years at an interest rate of 5% per year. b. 10 years at an interest rate of 5% per year. c. 5 years at an interest rate of 10% per year. d. Why is the amount of interest earned in part(a) less than half the amount of interest earned in part (b)

Answer and Explanation:

The computation is shown below;

Given that,

Principal = P = $2000

As we know that

Future value (FV) = P × (1 + R)^n

here,

R = Rate of interest,

N = no of years

Now

A) N = 5, R = 5% = 0.05

FV = $2,000 × (1.05)^5

= $2,553

The Interest earned is

= $2,553 - $2,000

= $553

B) N = 10, R = 5% = 0.05

FV = $2,000 × (1.05)^10

= $3,258

The Interest earned is

= $3,258 - $2,000

= $1,258

C) N = 5, R = 10% = 0.10

FV = $2,000 × (1.10)^5

= $3,221

D) Option A

As in the part B the time period is 10 years as compared with the part A i.e. 5 years having the interest rate same

Also the cumulative interest would be greather than double as compared with part A

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