İnterest question for my exam toorrow

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SUMMARY

The discussion centers around calculating the cash price of a car purchased on an installment basis, with an initial payment of 50,000 and four subsequent annual payments of 20,000 each at an effective interest rate of 8%. Using the present value of annuity formula, the present value of the four payments is calculated as 66,243. Therefore, the total cash price of the car amounts to 116,243.

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Mhmdozer
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Hi everyone. I have a one question about interest rates for my exam, if you help I'd be happy.

A man buys car on instalment basis such that he pays 50.000 on signing of the contract and remaining in 4 equal instalments of 20.000 the first is being paid at the end of first year and so on for each year if the rate of interest is %8 effective, find the cash price of the car?
 
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Mhmdozer said:
A man buys car on instalment basis such that he pays 50.000 on signing of the contract and remaining in 4 equal instalments of 20.000 the first is being paid at the end of first year and so on for each year if the rate of interest is %8 effective, find the cash price of the car?
Formula (present value of annuity):
p = a[1 - 1/(1+i)^n]/i

a = amount of payment (20.000)
i = interest rate (.08)
n = number of payments (4)
p = present value (?)

That will result in p = 66.243,
so price of car = 66.243 + 50.000 = 116.243

Curious: what is value in dollars of 20.000 ?
 

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