Answer:
15 years
Explanation:
The target accumulated future amount is the future value of the initial investment(present value), hence, using the future value formula provided below we can determine the investment time horizon in years required to accumulate the target amount:
FV=PV*(1+r)^n
FV=$1,200,000
PV=$287,270
r=10%
n=investment period in years=unknown
$1,200,000=$287,270*(1+10%)^n
$1,200,000/$287,270=(1+10%)^n
$1,200,000/$287,270=(1.10)^n
take log of both sides
ln($1,200,000/$287,270)=n ln(1.10)
n=ln($1,200,000/$287,270)/ln(1.10)
n=15.00years
