Question

The winner of the first annual Tom Morris Golf Invitational won $115 in the competition which was held in 1901. In 2015, the winner received $1,480,000. If the winner's purse continues to increase at the same interest rate, how much will the winner receive in 2052

Answer 1

Answer:

$31,920,341.91

Explanation:

The computation is shown below:

For computing the receiving amount in 2052 first we have to determine the rate which is shown below:

Current value = Initial value × (1 + interest rate)^time period

$1,480,000 = $115 × (1 + interest rate)^114

So, after solving this, the interest rate is 8.654%

Now the received amount in 2052 is

= $1,480,000 × (1 + 0.8654%)^37

= $31,920,341.91

The time period is come from

= 2015 - 1901

= 114

And, the 37 years is come from

= 2052 - 2015

= 37