Consider a coin toss experiment and the following assets. Asset A gives £200 if the first is heads, £50 for tails. Asset B gives £200 if the second is heads and £50 for tails. Asset C is half of A plus half of B. Assets A and B are independent. Show that the expected value of each asset is the same and C reduces risk. Explain why C reduces risk

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
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Problem 7.3P
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Consider a coin toss experiment and the following assets. Asset A gives £200 if the first is heads, £50 for tails. Asset B gives £200 if the second is heads and £50 for tails. Asset C is half of A plus half of B. Assets A and B are independent. Show that the expected value of each asset is the same and C reduces risk. Explain why C reduces risk?

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