You currently have $150,000 in an IRA designated for retirement. If you save an additional $100 at the end of every month and expect to earn an annual return of 12 percent, how much do you expect to have in the IRA in 10 years?

$518,061.90

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  

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(b) management: leadership