Answer:
$518,061.90
Step-by-step explanation:
The value of the retirement savings at retirement date is the future value of both its current balance of $150,000 and future value of $100 per month for 10 years compounded at the monthly rate of return
FV=PV*(1+r)^n+ monthly savings*(1+r)^n-1/r
PV=$150,000
r=monthly rate of return=12%/12=1%=0.01
monthly savings=$100
n=number of monthly savings in 10 years=10*12=120
FV=$150000*(1+0.01)^120+$100*(1+0.01)^120-1/0.01
FV=$150000*(1.01)^120+$100*(1.01)^120-1/0.01
FV=$150000*3.30038689+$100*(3.30038689-1)/0.01
FV=$150000*3.30038689+$100*2.30038689/0.01
FV=$495,058.03+$ 23,003.87
FV=$518,061.90