Final answer:
To find the expected return on the investment, multiply the possible returns by their respective probabilities and sum them up. The expected return on this investment is 9.8%.
Step-by-step explanation:
To find the expected return on the investment, we multiply the possible returns by their respective probabilities and sum them up.
For the 26% rate of return with a 20% chance, the expected return is 26% * 20% = 5.2%.
For the 14% rate of return with a 50% chance, the expected return is 14% * 50% = 7%.
For the -8% rate of return with a 30% chance, the expected return is -8% * 30% = -2.4%.
Adding up all the expected returns:
5.2% + 7% - 2.4% = 9.8%.
The expected return on this investment is 9.8%.