Here are the step-by-step solutions for the problems:
1. A promise to repay $95,000 ten years from now at an interest rate of 9%.
Given:
- Loan amount = $95,000
- Interest rate = 9%
- Time = 10 years
We need to find the present value using the appropriate factor from the tables.
From the tables, the present value factor for 9% interest and 10 year period is 0.5782 (rounded to 4 decimal places)
So, the present value = $95,000 * 0.5782 = $54,917
2. An agreement made on February 1, 2019, to make three separate payments of $11,000 on February 1 of 2020, 2021, and 2022. The annual interest rate is 7%.
Given:
- Payment = $11,000
- Number of payments = 3
- Interest rate = 7%
- Time for each payment = 1 year, 2 years and 3 years
We need to find the EVA (Equal Value of an Annuity) factor from the tables.
The EVA factor for 7% interest and 3 year period is 2.4213
Total present value = $11,000 * 2.4213 = $26,634
Hope this helps! Let me know if you have any other questions.