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. what is its average expected rate of return?

at what price would the asset have a zero rate of return?

Average expected rate of return is 3.13%

The asset have a zero rate of return if at price of $120

Explanation:

Rate of return RR =

Rate of return of the first possibility:  (100-120)/120 * 100 = -16.67%

Rate of return of the second possibility:  (115-120)/120 * 100 = -4.16%

Rate of return of the third possibility:  (140-120)/120 * 100 = 16.67%

Average expected rate of return =

= 0.25*(-16.67%) + 0.25*(-4.16%) + 0.5*16.67% = 3.13%

RR = 0 => Future Value - Initial Value = 0

The asset have a zero rate of return when future price is the same as current price ($120)

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