9.) There are three assets to be considered: stocks, bonds, and commodities. The current prices of these assets are listed below:
Asset | Current Price |
Stocks | $500 |
Bonds | $1000 |
Commodities | $200 |
The following table lists the possible prices of these assets a year from today, with the corresponding probabilities.
Stocks | Bonds | Commodities | |||
Probability | Price | Probability | Price | Probability | Price |
0.25 | $700 | 0.4 | $1100 | 0.2 | $250 |
0.25 | $650 | 0.6 | $1050 | 0.25 | $240 |
0.25 | $600 | 0.25 | $230 | ||
0.25 | $550 | 0.3 | $220 |
What is the expected return (in %) of bonds? Round your answer to at least 2 decimal places.
Current Price of the Bond = $ 1000
Expected Value = Value1 * Prob1 + Value2 * Prob2
Value1 is 1st value expected
Value2 is 2nd value expected
Prob1 is probablility for Value 1
Prob2 is probablility for Value 2
Expected Value = 1100 * 0.4 + 1050 * 0.6
= 1070
Expected Return = (Expected Value - Current Value)/ Current Value
= (1070-1000)/ 1000
= 0.07 Or 7%
Expected Return on Bond is 7%
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