DTF Investments Ltd has a two-stock portfolio: 40% invested in Apple stock and 60% invested in Pear stock. The table below sets out the expected return on the stocks for various states of the economy (returns are shown in decimals). What is the expected return of DTF Investments Ltd’s portfolio? Record your answer to the nearest four decimal places (e.g., If your answer is 3.40%, then report 0.0340). State of economy Probability Apple Stock Pear Stock Boom 0.21 0.27 0.26 Normal ? 0.08 0.11 Bust 0.15 -0.17 -0.17
Question
DTF Investments Ltd has a two-stock portfolio: 40% invested in Apple stock and 60% invested in Pear stock. The table below sets out the expected return on the stocks for various states of the economy (returns are shown in decimals). What is the expected return of DTF Investments Ltd’s portfolio? Record your answer to the nearest four decimal places (e.g., If your answer is 3.40%, then report 0.0340).
State of economy
Probability
Apple Stock
Pear Stock
Boom
0.21
0.27
0.26
Normal
?
0.08
0.11
Bust
0.15
-0.17
-0.17
Solution
The information provided is incomplete. The probability for the 'Normal' state of the economy is missing, which is necessary to calculate the expected return of the portfolio. The expected return of a portfolio is calculated by multiplying the return of each asset by its weight in the portfolio and the probability of the state of the economy, then summing these values. Without the probability for the 'Normal' state, we cannot complete this calculation.
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