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drek231 [11]
2 years ago
10

How much would you pay today to receive $50 in one year and $60 in the second year if you can earn 15 percent interest on altern

ative investments of similar risk? $88.85?
Mathematics
1 answer:
Andrej [43]2 years ago
4 0

The present value of an income of $60 in 2 years and $50 in 1 year at an interest rate of 15% can be computed as ...

... ($60/1.15 +$50)/1.15 = $88.85

_____

The present value (PV) of an amount (A) received 1 year from now earning annual interest rate r is ...

... PV = A/(1 +r)

For a sequence of non-uniform payments, we can work backward through the years as we did above.

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Given the expression

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\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

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  =\frac{28}{5\times \:5}

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As the value of the second factor is:

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And the product value is:

y=\frac{28}{25}=1.12

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

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