Communications in Economics and Mathematical Sciences
Online ISSN : 2436-3162
Market Price of Risk in the CAPM with Non-Tradable Endowments
Chiaki Hara
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JOURNAL OPEN ACCESS

2022 Volume 1 Pages 87-116

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Abstract
In the Capital Asset Pricing Model, we consider how introducing new tradable assets into markets will affect the prices of the existing ones. We prove that introducing new tradable assets decreases the market price of risk if the elasticity of the marginal rates of substitution of the mean for standard deviation with respect to the latter is greater than one for every consumer; the market price of risk increases if the elasticity is less than one; and the market price of risk is left unchanged if the elasticity is equal to one. The proof is based on the intermediate value theorem.
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© 2022 The Japanese Society for Mathematical Economics
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