Question

If you can invest $200,000 at a 10.5% annual rate, compounded monthly, how long will it take to have $500,000? (Do not your intermediate calculations. Round your final answer to the nearest whole month.)

Answer 1

Answer:

Explanation:

Use Future value formula for the calculation of number of years

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

FV = PV ( 1 + r )^n

$500,000 = $200,000 ( 1 + 10.5% )^n

$500,000 / $200,000 = ( 1 + 0.105 )^n

2.5 = ( 1.105 )^n

log 2.5 = n log 1.105

n = log 2.5 / log 1.105

n = 9.1771

n = 9 years 2 months