Question

First City Bank pays 8 percent simple interest on its savings account balances, whereas Second City Bank pays 8 percent interest compounded annually. If you made a $68,000 deposit in each bank, how much more money would you earn from your Second City Bank account at the end of 8 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

$14,343.25

Step-by-step explanation:

First city bank pays 8% simple interest in a savings account

Second city bank pays 8% interest compounded annually

$68,000 is deposited deposited in each of the bank

The first step is to calculate the simple interesr per year of first city bank

= principal × rate

= 68,000 × 8/100

= 68,000 × 0.08

= 5,440

The interest earned for the period of 8 years can be calculated as follows.

= 5,440 × 8

= 43,520

The balance at the end of 8 years can be calculated as follows

= 68,000 + 43,520

= 111,520

The next step is to calculate the future value of second city bank

= principal × (1+R)^n

= 68,000 × (1+8%)^8

= 68,000 × (1+0.08)^8

= 68,000 × 1.08^8

= 68,000 × 1.85093021

= 125,863.25

Therefore the amount of money earned from second city bank at the end of 8 years can be calculated as follows

= 125,863.25-111,520

= 14343.25

Hence the money that was earned from second city bank at the end of 8 years is $14,343.25