Question

Both you and your older brother would like to have $28,000 in 13 in 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 11.2 percent compared to your brother's 10.4 percent. How much less than your brother will you have to deposit today

Answer 1

Answer:

$693.16

Explanation:

Calculation to determine How much less than your brother will you have to deposit today

Using this formula

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

Let plug in the formula

First step

$28,000 = Present value × (1 + 0.112)^13

PV= $28,000 ÷ 1.112^13

PV= $28,000 ÷ 3.97522975235

PV= $7,043.618

Second step

$28,000 = Present value × (1 + 0.104)^13

PV= $28,000 ÷ 1.104^13

PV= $28,000 ÷ 3.61907808993

PV= $7,736.777

Now let calculate how much less than your brother will you have to deposit today

Deposit today= $7,736.777-$7,043.618

Deposit today= $693.159

Deposit today=$693.16 (Approximately)

Therefore How much less than your brother will you have to deposit today will be $693.16