Question

You're trying to save to buy a new $196,000 Ferrari. You have $46,000 today that can be invested at your bank. The bank pays 5.4 percent annual interest on its accounts.

How long will it be before you have enough to buy the car? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)

Answer 1

It will take 27.56 years to gain $196,000.

Step-by-step explanation:

Giving the following information:

Future value (FV)= $196,000

Present value (PV)= $46,000

Interest rate= 5.4% = 0.054

To calculate the time required to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)

n= ln(196,000/46,000) / ln(1.054)

n= 27.56

It will take 27.56 years to gain $196,000.