Ace the CFP Exam 2026 – Master Your Financial Future with Confidence!

To determine the net present value (NPV) of the training program for Gwyneth, we first need to consider the cash flows associated with the investment in her training.

Gwyneth is spending $9,000 annually for two years on the training program. This cost represents a negative cash flow. After completing the program, she will receive a salary increase of $10,000 each year for the following 18 years. This salary increase is a positive cash flow.

To calculate the NPV, we discount both the costs and the benefits to their present values using an appropriate discount rate. The typical discount rate used in such calculations could vary, but for this explanation, we will proceed with the understanding that the calculation will reflect an appropriate rate that accounts for the time value of money.

1. **Costs**: The total cost for the training program is $9,000 for each of the two years:

- Year 1: -$9,000

- Year 2: -$9,000

2. **Benefits**: The salary increase is $10,000 per year for 18 years starting from year 3 up to year 20:

- Year 3 to Year 20: $10,