Problem
On January 1, a company completed the following transactions.
- Borrowed $100,000 for six years. Interest payments of $6,200 will be due at the end of each year and the $100,000 will be repaid at the end of the sixth year.
- Established a plant fund of $390,000 to be available at the end of year seven. A single amount will be deposited today to grow to $390,000.
- Agreed to a buyout package for a former executive. The company will pay $80,000 at the end of the first year; $120,000 at the end of the second year; and $165,000 at the end of the third year.
Required (assume a 6% annual rate for all transactions and round to the nearest dollar):
- For transaction a, determine the present value of the debt.
- For transaction b, determine the amount that must be deposited on January 1. How much interest revenue will be earned over the six years?
- For transaction c, determine the present value of the obligation.