Question

The government has imposed a fine on the Imperial Company. The fine calls for annual payments of $100,000, $250,000, and $250,000, respectively over the next three years. The first payment is due one year from today. The government plans to invest the funds until the final payment is collected and then donate the entire amount, including investment earnings, to a national health center. The government will earn 3.5% on the funds held. How much will the national health center receive three years from today

Answer 1

Answer: $615,872.50

Step-by-step explanation:

The amount the National Health Center will receive is the sum of the future values, 3 years from now, of the annual payments of the fines.

Future value of $100,000 paid 1 year from today:

= 100,000 * (1 + 3.5%)²

= $107,122.50

Future value of $250,000 paid 2 years from now:

= 250,000 * (1 + 3.5%)

= $258,750

Future value of $250,000 paid 3 years from today:

= $250,000

Total is:

= 107,122.50 + 258,750 + 250,000

= $615,872.50