Question

You're trying to save to buy a new $210,000 Ferrari. You have $38,000 today that can be invested at your bank. The bank pays 4.1 percent annual interest on its accounts. How long will it be before you have enough to buy the car?

Answer 1

We need to equate present value of Ferrari to the future value of $ 38,000 Le number of years = x hence 38,000 (1.041)^n = 210,000 (1.041)^n = 210,000/38,000 (1.041)^n = 5.5263 Taking log on both sides n log 1.041 = log 5.5263 n times 0.040182 = 1.709521 n = 42.54 years