Question

Both you and your older brother would like to have $28,500 in 14 years. Because of your success in this class, you feel that you are a more savvy investor than your brother and will be able to earn an annual return of 10.5 percent compared to your brother's 8.7 percent. How much less than your brother will you have to deposit today

Answer 1

How much less than your brother will you have to deposit today is $1,820.78.

First step

Future value = Present value × (1 + interest rate)^number of years

$28,500 = Present value × (1 + 0.105)^14

Present value= $28,500 ÷ 1.105^14

Present value= $28,500 ÷ 4.04642869977

Present value=$7,043.25

Second step

Future value = Present value × (1 + interest rate)^number of years

$28,500 = Present value × (1 + 0.087)^14

Present value= $28,500 ÷ 1.087^14

Present value= $28,500 ÷3.21524163645

Present value=$8,864.03

Third step

Deposit today=-$8,864.03-$7,043.25

Deposit today= $1,820.78

Inconclusion how much less than your brother will you have to deposit today is $1,820.78.

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