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Multiple Choice
Based on the following information, calculate the expected return of an investment: - Probability of a 10% return: 0.4 - Probability of a 5% return: 0.3 - Probability of a -2% return: 0.3 What is the expected return?
A
5.0\%
B
3.0\%
C
2.7\%
D
4.1\%
Verified step by step guidance
1
Step 1: Understand the concept of expected return. The expected return is calculated as the weighted average of all possible returns, where the weights are the probabilities of each return occurring.
Step 2: Write the formula for expected return: E(R) = Σ [P(i) × R(i)], where P(i) is the probability of return i, and R(i) is the return associated with that probability.
Step 3: Substitute the given values into the formula. You have three probabilities and their corresponding returns: P(1) = 0.4, R(1) = 10%; P(2) = 0.3, R(2) = 5%; P(3) = 0.3, R(3) = -2%.
Step 4: Perform the multiplication for each term in the summation: (0.4 × 10%), (0.3 × 5%), and (0.3 × -2%).
Step 5: Add the results of the multiplications together to find the expected return. This will give you the weighted average return based on the probabilities provided.