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hammer [34]
3 years ago
10

You want to buy an Audi A8 7 years from now. You have priced these cars and found that they currently sell for $83,800. You beli

eve that the price will increase by 10% per year for the next 7 years. You can presently invest to earn 10% annual interest, compounded annually. How much will you need to invest every year (hint: PMT) to be able to afford to buy the car in 7 years?
Business
1 answer:
lana [24]3 years ago
8 0

Answer:

We to invest <em> $ 17,213 per year to buy the car in  seven years from now</em>

Explanation:

<u><em>First, we solve for the future value of the car:</em></u>

Principal \: (1+ r)^{time} = Amount

Principal 83,800.00

time 7.00

rate 0.10000

83800 \: (1+ 0.1)^{7} = Amount

Amount 163,302.49

<u><em>Then, for the PTM to achieve tham amount in 7 years:</em></u>

FV \div \frac{(1+r)^{time} -1}{rate} = C\\

FV 163,302

time 7

rate 0.1

163302.49298 \div \frac{(1+0.1)^{7} -1 }{0.1} = C\\

<em>C  $ 17,212.981 </em>

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