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FV = PV(1+i)^n this is the formula used to calculate___________. How much will y

ID: 2778816 • Letter: F

Question

FV = PV(1+i)^n this is the formula used to calculate___________.

How much will you pay for a $10,000 automobile in 20 years if the inflation rate averages 5% per year for 20 years?

You borrowed $25,000 from your parents to buy a car. They want their money back in 5 months with interest at 6% (simple interest rate). What is the total amount you must pay them in 5 months (principle plus interest)?

John won the lottery. The state offers to pay him $1 million up front or a series of 25 payments of $50,000 per year for 25 years. This series of payments is called what?

Explanation / Answer

Future value = P×(1+r)^n

P is Present value

r is interest rate

n is number of years.

Hence, this formula is used to calculate the future value.

Future value = $10,000×(1+5%)^20 = $26,532.98

EMI = [P×r×(1+r)^n]÷[(1+r)^n-1]

P is Principal payable

r is interest rate

n is number of payments

= [$25,000×0.5%×(1+0.5%)^5]÷[(1+0.5%)^5-1]

= $5,075.25

Total amount paid is $25,376.25 ($5,075.25)