question archive Carl would like to save $100,000 by s 40th birthday to pay for a special midlife crisis vacation
Subject:FinancePrice:2.84 Bought6
Carl would like to save $100,000 by s 40th birthday to pay for a special midlife crisis vacation. He plan to achieve this by investing equal annual amounts each year beginning on his 24th birthday and ending including a payment on his 40th birthday. If the investment pays an 11 percent interest rate, what is the size of each annual payment Carl needs to invest?
size of each annual payment = $2247.15.
Step-by-step explanation
24th birthday to 40th birthday
no. of annual payments is 17
Interest rate is 11%
FV = P *{ (1+r)^n - 1 } / r
100000 = P *((1+0.11)^17 - 1)/0.11
100000 = P *44.50084281
P = 100000 /44.50084281
P =2247.15
FV- future value