Today, you have two coins each of which is valued at $100. One coin is expected to appreciate by 5.2 percent annually while the other coin should appreciate by 5.7 percent annually. What will be the difference in the value of the two coins 50 years from now

=$337.43

Explanation:

The value of each of the coins after 50 years is the future value after 50 years at their respective interest rate.

The formula for  future value is FV = PV × (1+r)n

For the first coin at 5.2 percent,

Fv = 100 x ( 1 + 5.2/100 ) 50

Fv =100 x (1+ 0.052) 50

Fv = 100 x 12. 61208795

Fv = $1,261. 21

For the second coin at 5.7 percent,

Fv = 100 x (1 + 5.7 /100)50

Fv =100 x (1 + 0.057 )50

Fv = 100 x 15.98

Fv = 1, 598. 64

the difference in value will be

=$1598.64 - $1,261.21

=$337.43

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