Final answer:
To determine the maximum amount to invest in the new mouse trap venture, we use the discounted cash flow method with a required return rate of 20%, discounting the estimated annual cash flows from Year 3 to Year 7 to their present value and then summing them.
Step-by-step explanation:
To determine the most you should invest in your friend's new mouse trap venture, we must calculate the present value of the estimated future cash flows you're expected to receive. Given the expected cash flows and your required return of 20%, we can use the discounted cash flow method to arrive at a fair investment amount.
To calculate the present value of the cash flows from Year 3 to Year 7, we will discount each amount by the required return rate of 20% for each year. The cash flows are estimated to be $50,000 in Year 3, and increase by $20,000 each year up to Year 7. We calculate the present value (PV) using the formula:
- PV = Cash Flow / (1 + Rate)^Number of Periods
By calculating the present value of each of these cash flows and summing them up, we can determine the maximum investment you should make to achieve your required return rate of 20%.