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How Is Risk Priced in the Financial Market

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How Is Risk Priced in the Financial Market
How is risk priced in the financial markets? What are the shortcomings of the explanations that finance theory offers for this?
Introduction
The valuation of assets in the financial market is no doubt a challenging task as it is closely correlated with risks and uncertainties embodied in the assets which provide the possibility that the investment outcomes would differ from the expected value (Grundy and Malkiel, 1995). In other words, the valuation of assets is actually linked to the qualification of risk-return trade-off. Up until the introduction of Capital Asset Pricing Model (CAPM) in 1964, the estimation of risk was largely based on the historical performances of individual security rather than a precise geometric or mathematic relationship. Therefore, this essay would contribute a lot to the discussions on CAPM and the Arbitrage Pricing Model as well as their comparison.

Theoretical Background
One fundamental theory behind CAPM and other asset pricing models is the portfolio selection theory which is contributable to Markowitz (1959), Tobin (1959 and 1966). Markowitz points out that under mean-variance criterion, the optimal portfolio should be the set of securities that provide the preferable expected rate of return with the minimum volatility. In addition to this theory, James Tobin proposed that every investor has his own individual preference for liquidity which can be achieved by the combination of the efficient risky portfolio presented by Markowitz and a set of risk-free investment. At the same time, the implement of expected utility hypothesis by John von Neumann and Oskar Morgenstern and the concept of risk adverse have remarkable impact of risk pricing models as well.

Capital Asset Pricing Model
Enlighted by the previous foudations by Markowitz and Tobin, a general equilibrium capital asset pricing model was developed by Sharp(1964), Linster(1965) and Mossin independantly. With a series of assumptions (attached in appendix), the CAPM



Bibliography: Black, Fischer, Michael C. Jensen and Scholes. 1972. The Capital Asset Pricing Model: Some Empirical Tests. Praeger, New York. Chen, Nai-fu, 1983, Some Empirical Tests of the Theory of Arbitrage Pricing, Journal of Finance 38, 1393-1414. Chen, Nai-fu, Richard Roll and Stephen A. Ross. 1986. Economic Forces and the Stock Market. Journal of Business 59, 383-403. Conner, Gregory and Robert A Dhrymes. Phoebus J. , Irwin Friend and N. Bulent Gultekin. 1984. A critical Re-examination of the Empirical Evidence on the Arbitrage Pricing Theory. Journal of Finance 39, 323-346. Fama, Eugene F. and James D. MacBeth. 1973. Risk, Return and Equilibrium: Empirical Tests. Journal of Political Economy 71, 607-636. Krause, Andreas. 2001. An Overview of Asset Pricing Models. Retrieved from: http://people.bath.ac.uk/mnsak/Research/Asset_pricing.pdf Markowitz, H Roll, Richard and Stephen A. Ross. 1980. An Empirical Investigation of the Arbitrage Pricing Theory. Journal of Finance 35, 1073-1103. Ross, Stephon A.. 1976. The Arbitrage Theory of Capital Asset Pricing. Journal of Economic Theory 13, 341-360. U.S Securities and Exchange Regulation. 2007. Retrieved from: www.sec.gov[->1]. [->0] - http://www.sec.gov

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