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?
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 at 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 at year 2050= $25968406.94
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