Question

The winner of the first annual Tom Morris Golf Invitational won $105 in the competition which was held in 1899. In 2015, the winner received $1,460,000. If the winner's purse continues to increase at the same interest rate, how much will the winner receive in 2050

Answer 1

$25968406.94.

a. Computation of Effective Interest Rate

Future Value = Present Value * (1 + r)^n

Future Value = $1460000

Present Value = $105

n = Number of Years = 116 Years

Future Value = Present Value * (1 + r)^n

1460000 = 105 * (1 + r)^116

13904.76 = (1 + r)^116

1.0857 = 1 + r

Effective Interest Rate = 8.57%

b.Future Value in the year 2050

Future Value = Present Value * (1 + r)^n

Present Value = $1460000

n = Number of Years = 35 Years

Future Value = Present Value * (1 + r)^n

Future Value = 1460000 * (1 + 0.0857)^35

Future Value = 1460000 * 17.7866

Future Value in the year 2050= $25968406.94.

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