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Consider an asset that costs $120 today
Consider an asset that costs $120 today. You are going to hold it for 1 year and then sell it. Suppose that there is a 25 percent chance that it will be worth $100 in a year, a 25 percent chance that it will be worth $115 in a year, and a 50 percent chance that it will be worth $140 in a year.
figure out what the investment's average expected rate of return would be if its current price were $130 today.
At what price would the asset have a zero average expected rate of return?
Expert Solution
Computation of Investment's Average Expected Rate of Return:
Expected Payoff = 25% * 100 + 25% * 115 + 50% * 140
= 25 + 28.75 + 70
= 123.75
Average Expected Rate of Return = (123.75 - 120) / 120 = 3.13%
If the price of the asset is $130, the average expected rate of return is:
Average Expected Rate of Return = (123.75 - 130) / 130 = -4.81%
Computation of Price of Asset for a zero average expected rate of return,
Price = $123.75
At this price
Average Expected Rate of Return = (123.75 - 123.75)/123.75
At Price = $123.75 , Average expected rate of return = 0
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