Question

A. Starting with $5,000, how much will you have in 18 years if you can earn 15 percent on your money? Round the answer to the nearest cent. Round FV-factor to three decimal places. Calculate your answer based on the FV-factor.

If you can earn only 6 percent? Round the answer to the nearest cent. Round FV-factor to three decimal places.
Calculate your answer based on the FV-factor.

B. If you inherited $75,000 today and invested all of it in a security that paid a 6 percent rate of return, how much would you have in 15 years? Round the answer to the nearest cent. Round FV-factor to three decimal places.
Calculate your answer based on the FV-factor.

C. If the average new home costs $275,000 today, how much will it cost in 14 years if the price increases by 3 percent each year? Round the answer to the nearest cent. Round FV-factor to three decimal places.

D. You think that in 10 years it will cost $237,000 to provide your child a 4-year college education. Will you have enough if you take $81,000 today and invest it for the next 10 years at 6 percent? Round the answer to the nearest cent. Round FV-factor and FVA-factors to three decimal places.
(Yes or No) , you will have approximately $ _____

(More or Less) than your estimate of $237,000.

If you start from scratch, how much will you have to save each year to have $237,000 in 10 years if you can earn a 6 percent rate of return on your investments?
Calculate your answer based on the FVA-factor.

E. If you can earn 9 percent, how much will you have to save each year if you want to retire in 35 years with $1.4 million? Round the answer to the nearest cent. Round FVA-factor to three decimal places.
Calculate your answer based on the FVA-factor.

F. You plan to have $1,000,000 in savings and investments when you retire at age 67. Assuming that you earn an average of 12 percent on this portfolio, what is the maximum annual withdrawal you can make over a 20-year period of retirement? Round the answer to the nearest cent. Round PVA-factor to three decimal places.
Calculate your answer based on the PVA-factor.

Answer 1

A)

FUTURE VALUE = PRESENT VALUE (1 + rate of interest)^{number of years}

PV=5000, R=15% Time 18 years FV factor=12.3755

FV=$61877.270

PV=5000, R=6% Time 18 years FV factor=2.8543

FV=14271.70

B)PV=75000, R=6% Time 15 years FV factor=2.3966

=75000*2.3966

=$179745.000

C)PV=275000, R=3% Time 14 years FV factor=1.5126

=$275000*1.5126

=$415965

D) PV=81000, R=6% Time 10 years FV factor=1.7908

=81000*1.7908=$145054.80

No, $81000 will not be sufficient to get $237000 in ten years

$ 18000 needed every year to get 237254.31 @ 6percent after 10 years, (Calculated by Annuity Formula)

start principal	start balance	interest	end balance	end principal
1	$0.00	$0.00	$0.00	$18,000.00	$18,000.00
2	$18,000.00	$18,000.00	$1,080.01	$37,080.00	$36,000.00
3	$36,000.00	$37,080.00	$2,224.80	$57,304.80	$54,000.00
4	$54,000.00	$57,304.80	$3,438.28	$78,743.09	$72,000.00
5	$72,000.00	$78,743.09	$4,724.61	$101,467.67	$90,000.00
6	$90,000.00	$101,467.67	$6,088.07	$125,555.73	$108,000.00
7	$108,000.00	$125,555.73	$7,533.36	$151,089.08	$126,000.00
8	$126,000.00	$151,089.08	$9,065.35	$178,154.42	$144,000.00
9	$144,000.00	$178,154.42	$10,689.26	$206,843.69	$162,000.00
10	$162,000.00	$206,843.69	$12,410.63	$237,254.31	$180,000.00

E) By

FVOrdinary Annuity​=C×[i(1+i)n−1​] where:C=cash flow per period i=interest rate n=number of payments​

=$6495 to be invested every year to get $ 1.4 million after 35 years at 9%

F) By Above formula

= $13878.80 to be invested every year to get $ 1000000 after 20 years at 12%