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Capital asset pricing model

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the portfolio sufficiently diversified such that risk exposure is limited to systematic risk only. This number may vary depending on the way securities are weighted in a portfolio which alters the overall risk contribution of each security. For example, market cap weighting means that securities of companies with larger market capitalization will take up a larger portion of the portfolio, making it effectively less diversified. In developing markets a larger number of securities is required for diversification, due to the higher asset volatilities.
2608:...) In practice, such a market portfolio is unobservable and people usually substitute a stock index as a proxy for the true market portfolio. Unfortunately, it has been shown that this substitution is not innocuous and can lead to false inferences as to the validity of the CAPM, and it has been said that, due to the impossibility of observing the true market portfolio, the CAPM might not be empirically testable. This was presented in greater depth in a paper by 5474: 5464: 5454: 2362: 2255: 2158: 1438: 1363: 272: 36: 5484: 5161: 2429: 133: 198:) and zero transaction costs (necessary for diversification to get rid of all idiosyncratic risk). Under these conditions, CAPM shows that the cost of equity capital is determined only by beta. Despite its failing numerous empirical tests, and the existence of more modern approaches to asset pricing and portfolio selection (such as 2655:
irrationality refers to the CAPM proclaimed ‘revision of prices’ resulting in identical discount rates for the (lower) amount of covariance risk only as for the (higher) amount of Total risk (i.e. identical discount rates for different amounts of risk. Roger’s findings have later been supported by Lai & Stohs.
194:. CAPM assumes a particular form of utility functions (in which only first and second moments matter, that is risk is measured by variance, for example a quadratic utility) or alternatively asset returns whose probability distributions are completely described by the first two moments (for example, the 2654:
Roger Dayala goes a step further and claims the CAPM is fundamentally flawed even within its own narrow assumption set, illustrating the CAPM is either circular or irrational. The circularity refers to the price of total risk being a function of the price of covariance risk only (and vice versa). The
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is calculated using CAPM, we can compare this required rate of return to the asset's estimated rate of return over a specific investment horizon to determine whether it would be an appropriate investment. To make this comparison, you need an independent estimate of the return outlook for the security
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The market portfolio consists of all assets in all markets, where each asset is weighted by its market capitalization. This assumes no preference between markets and assets for individual active and potential shareholders, and that active and potential shareholders choose assets solely as a function
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The model assumes that the probability beliefs of active and potential shareholders match the true distribution of returns. A different possibility is that active and potential shareholders' expectations are biased, causing market prices to be informationally inefficient. This possibility is studied
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away to smaller levels by including a greater number of assets in the portfolio (specific risks "average out"). The same is not possible for systematic risk within one market. Depending on the market, a portfolio of approximately 30–40 securities in developed markets such as the UK or US will render
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CAPM assumes that all active and potential shareholders will consider all of their assets and optimize one portfolio. This is in sharp contradiction with portfolios that are held by individual shareholders: humans tend to have fragmented portfolios or, rather, multiple portfolios: for each goal one
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Betas exceeding one signify more than average "riskiness"; betas below one indicate lower than average. Thus, a more risky stock will have a higher beta and will be discounted at a higher rate; less sensitive stocks will have lower betas and be discounted at a lower rate. Given the accepted concave
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The CAPM assumes that the risk-return profile of a portfolio can be optimized—an optimal portfolio displays the lowest possible level of risk for its level of return. Additionally, since each additional asset introduced into a portfolio further diversifies the portfolio, the optimal portfolio must
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It is a useful tool for determining if an asset being considered for a portfolio offers a reasonable expected return for its risk. Individual securities are plotted on the SML graph. If the security's expected return versus risk is plotted above the SML, it is undervalued since the investor can
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Assuming that the CAPM is correct, an asset is correctly priced when its estimated price is the same as the present value of future cash flows of the asset, discounted at the rate suggested by CAPM. If the estimated price is higher than the CAPM valuation, then the asset is overvalued (and
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Most practitioners and academics agree that risk is of a varying nature (non-constant). A critique of the traditional CAPM is that the risk measure used remains constant (non-varying beta). Recent research has empirically tested time-varying betas to improve the forecast accuracy of the
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The model assumes that the variance of returns is an adequate measurement of risk. This would be implied by the assumption that returns are normally distributed, or indeed are distributed in any two-parameter way, but for general return distributions other risk measures (like
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for any security in relation to that of the overall market. Therefore, when the expected rate of return for any security is deflated by its beta coefficient, the reward-to-risk ratio for any individual security in the market is equal to the market reward-to-risk ratio, thus:
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on an asset, that is, the return that compensates for risk taken, must be linked to its riskiness in a portfolio context—i.e. its contribution to overall portfolio riskiness—as opposed to its "stand alone risk". In the CAPM context, portfolio risk is represented by higher
2530:) will reflect the active and potential shareholders' preferences more adequately. Indeed, risk in financial investments is not variance in itself, rather it is the probability of losing: it is asymmetric in nature as in the alternative safety-first asset pricing model. 2619:
The model assumes economic agents optimize over a short-term horizon, and in fact investors with longer-term outlooks would optimally choose long-term inflation-linked bonds instead of short-term rates as this would be more risk-free asset to such an
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There has also been research into a mean-reverting beta often referred to as the adjusted beta, as well as the consumption beta. However, in empirical tests the traditional CAPM has been found to do as well as or outperform the modified beta models.
258:(1972) developed another version of CAPM, called Black CAPM or zero-beta CAPM, that does not assume the existence of a riskless asset. This version was more robust against empirical testing and was influential in the widespread adoption of the CAPM. 2517:
The traditional CAPM using historical data as the inputs to solve for a future return of asset i. However, the history may not be sufficient to use for predicting the future and modern CAPM approaches have used betas that rely on future risk
2237:, the market as a whole, by definition, has a beta of one. Stock market indices are frequently used as local proxies for the market—and in that case (by definition) have a beta of one. An investor in a large, diversified portfolio (such as a 2616:. However, others find that the choice of market portfolio may not be that important for empirical tests. Other authors have attempted to document what the world wealth or world market portfolio consists of and what its returns have been. 1656: 4152:. Unpublished manuscript. A final version was published in 1999, in Asset Pricing and Portfolio Performance: Models, Strategy and Performance Metrics. Robert A. Korajczyk (editor) London: Risk Books, pp. 15–22. 454: 731: 1319: 601: 1826: 1535:. The security market line can be regarded as representing a single-factor model of the asset price, where β is the exposure to changes in the value of the Market. The equation of the SML is thus: 1342:
Note 2: the risk free rate of return used for determining the risk premium is usually the arithmetic average of historical risk free rates of return and not the current risk free rate of return.
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The model assumes that all active and potential shareholders have access to the same information and agree about the risk and expected return of all assets (homogeneous expectations assumption).
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The model assumes just two dates, so that there is no opportunity to consume and rebalance portfolios repeatedly over time. The basic insights of the model are extended and generalized in the
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undervalued when the estimated price is below the CAPM valuation). When the asset does not lie on the SML, this could also suggest mis-pricing. Since the expected return of the asset at time
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expect a greater return for the inherent risk. And a security plotted below the SML is overvalued since the investor would be accepting less return for the amount of risk assumed.
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The model does not appear to adequately explain the variation in stock returns. Empirical studies show that low beta stocks offer higher returns than the model would predict.
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have published some research on asset allocation with non-normal returns which shows that investors with very low risk tolerances should hold more cash than CAPM suggests.
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Note 1: the expected market rate of return is usually estimated by measuring the arithmetic average of the historical returns on a market portfolio (e.g. S&P 500).
914: 1704: 497: 1517:(SML), which shows expected return as a function of β. The intercept is the nominal risk-free rate available for the market, while the slope is the market premium, E( 681: 2339:
A rational investor should not take on any diversifiable risk, as only non-diversifiable risks are rewarded within the scope of this model. Therefore, the required
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Some investors prefer positive skewness, all things equal, which means that these investors accept lower returns when returns are positively skewed. For example,
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Stone, Bernell K. (1970) Risk, Return, and Equilibrium: A General Single-Period Theory of Asset Selection and Capital-Market Equilibrium. Cambridge: MIT Press.
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i.e. less predictability. In other words, the beta of the portfolio is the defining factor in rewarding the systematic exposure taken by an investor.
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The model assumes that there are no taxes or transaction costs, although this assumption may be relaxed with more complicated versions of the model.
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Jansen, D. W., K.G. Koedijk and C. G. de Vries (2000), "Portfolio selection with limited downside risk," Journal of Empirical Finance, 7, 247-269.
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The market portfolio should in theory include all types of assets that are held by anyone as an investment (including works of art, real estate,
4088: 2552:, which uses psychological assumptions to provide alternatives to the CAPM such as the overconfidence-based asset pricing model of Kent Daniel, 1541: 2684: 2628: 348:(beta) to show how the market must price individual securities in relation to their security risk class. The SML enables us to calculate the 2222:
or discount rate—i.e. the rate at which future cash flows produced by the asset should be discounted given that asset's relative riskiness.
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Campbell, J & Vicera, M "Strategic Asset Allocation: Portfolio Choice for Long Term Investors". Clarendon Lectures in Economics, 2002.
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of their risk-return profile. It also assumes that all assets are infinitely divisible as to the amount which may be held or transacted.
72: 5338: 4182: 3500: 869:{\displaystyle \beta _{i}={\frac {\mathrm {Cov} (R_{i},R_{m})}{\mathrm {Var} (R_{m})}}=\rho _{i,m}{\frac {\sigma _{i}}{\sigma _{m}}}} 247: 3565:
Breeden, Douglas (September 1979). "An intertemporal asset pricing model with stochastic consumption and investment opportunities".
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a strategy for reliably beating the market). The puzzling empirical relationship between risk and return is also referred to as the
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comprise every asset, (assuming no trading costs) with each asset value-weighted to achieve the above (assuming that any asset is
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which is also known as idiosyncratic risk or diversifiable risk. Systematic risk refers to the risk common to all securities—i.e.
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Daniel, Kent D.; Hirshleifer, David; Subrahmanyam, Avanidhar (2001). "Overconfidence, Arbitrage, and Equilibrium Asset Pricing".
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Empirical tests show market anomalies like the size and value effect that cannot be explained by the CAPM. For details see the
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but makes CAPM wrong), or it is irrational (which saves CAPM, but makes the EMH wrong – indeed, this possibility makes
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Stambaugh, Robert (1982). "On the exclusion of assets from tests of the two-parameter model: A sensitivity analysis".
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Deal with securities that are all highly divisible into small parcels (All assets are perfectly divisible and liquid).
2409: 2302: 2205: 1917: 1485: 1410: 319: 119: 2391: 2284: 2187: 1467: 1392: 301: 5508: 4445: 2230:, the CAPM is consistent with intuition—investors (should) require a higher return for holding a more risky asset. 340:
The CAPM is a model for pricing an individual security or portfolio. For individual securities, we make use of the
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Baltussen, Guido; van Vliet, Bart; van Vliet, Pim (2024-06-11). "The Cross-Section of Stock Returns before CRSP".
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argue that "the failure of the CAPM in empirical tests implies that most applications of the model are invalid".
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Doeswijk, Ronald; Lam, Trevin; Swinkels, Laurens (2014). "The global multi-asset market portfolio, 1960-2012".
2387: 2280: 2183: 1463: 1388: 297: 57: 4439: 203: 5477: 5312: 4922: 4862: 4658: 4564: 3824:, pp. 79–121 in M. Jensen ed., Studies in the Theory of Capital Markets. New York: Praeger Publishers. 2541:
pay to take on more risk. The CAPM can be extended to include co-skewness as a priced factor, besides beta.
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using CAPM, sometimes called the certainty equivalent pricing formula, is a linear relationship given by
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Doeswijk, Ronald; Lam, Trevin; Swinkels, Laurens (2019). "Historical returns of the market portfolio".
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Fama, Eugene F.; French, Kenneth R. (1993). "Common Risk Factors in the Returns on Stocks and Bonds".
3065: 5518: 5439: 5383: 5102: 5029: 4973: 4119: 2674: 2453: 2449:). All such optimal portfolios, i.e., one for each level of return, comprise the efficient frontier. 2332: 978: 921: 235: 165: 3700: 3614: 3380:
Ibbotson, Roger; Siegel, Lawrence; Love, Kathryn (1985). "World wealth: Market values and returns".
5276: 5146: 4822: 4497: 3737: 2664: 2372: 2265: 2168: 1448: 1373: 349: 282: 199: 688: 5378: 5286: 5281: 5245: 5142: 5106: 4776: 4637: 4532: 4415: 2706: 2437: 2376: 2269: 2219: 2172: 1452: 1377: 1346: 1165: 1113: 1066: 1035: 286: 239: 46: 2988: 2729: 612: 206:), the CAPM still remains popular due to its simplicity and utility in a variety of situations. 5388: 5185: 5058: 5034: 5019: 4664: 3732: 3695: 3609: 2701: 2591: 2557: 880: 4064: 3180: 1673: 466: 174:
The model takes into account the asset's sensitivity to non-diversifiable risk (also known as
5413: 5071: 5043: 5024: 4802: 4611: 2815: 2527: 2446: 3655:"Maslowian Portfolio Theory: An alternative formulation of the Behavioural Portfolio Theory" 2331:. Unsystematic risk is the risk associated with individual assets. Unsystematic risk can be 656: 5467: 5318: 5230: 5066: 5048: 4966: 4937: 4857: 4622: 4606: 4569: 4451: 4394: 4362: 4156: 3723:
Fama, Eugene F.; French, Kenneth R. (1992). "The Cross-Section of Expected Stock Returns".
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de Silva, Harindra (2012-01-20). "Exploiting the Volatility Anomaly in Financial Markets".
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Blitz, David; Van Vliet, Pim; Baltussen, Guido (2019). "The volatility effect revisited".
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Estimating Time-Varying Beta Coefficients: An Empirical Study of US & ASEAN Portfolios
8: 5487: 5393: 5373: 5200: 5175: 4867: 4812: 4736: 4596: 4526: 4355: 4328: 4042:(1964). "Capital asset prices: A theory of market equilibrium under conditions of risk". 2316: 1858: 251: 195: 168: 5398: 5343: 5255: 4907: 4882: 4842: 4827: 4746: 4716: 4685: 4643: 4387: 4297: 4287: 4111: 4069: 4055: 4008: 3940: 3891: 3874: 3865: 3750: 3635: 3627: 3582: 3547: 3432: 3397: 3293: 3258: 3148: 3131: 3046: 2743:"The Entrepreneur's Cost of Capital: Incorporating Downside Risk in the Buildup Method" 2695: 2624: 2613: 2549: 2433: 2423: 1718: 1196: 1190: 1144: 1138: 1092: 1072: 3768:
Dayala, Roger R.S. (2012). "The Capital Asset Pricing Model: A Fundamental Critique".
5121: 5097: 5081: 4771: 4756: 4508: 4039: 3796: 3709: 3586: 3578: 3514: 3494: 3401: 3366: 3339: 3297: 3250: 3211: 3176: 3153: 3085: 3038: 2953: 2949: 2899:"Back to the Future Betas: Empirical Asset Pricing of US and Southeast Asian Markets" 2862: 2837: 2811: 2575: 2567: 2553: 219: 4073: 3639: 3262: 2975:(1952), "Safety-first and the holding of assets," Econometrica, 20, No. 3, 425-442. 728:
of the expected excess asset returns to the expected excess market returns, or also
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The Capital Asset Pricing Model (CAPM), Short-sale Restrictions and Related Issues
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Since beta reflects asset-specific sensitivity to non-diversifiable, i.e. market
345: 231: 215: 187: 175: 3903:, Journal of Investment Management, Vol. 1, No. 2, pp. 60–72. Available at 683:
is the risk-free rate of interest such as interest arising from government bonds
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graphs the results from the capital asset pricing model (CAPM) formula. The
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Can lend and borrow unlimited amounts under the risk free rate of interest.
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Aim to maximize economic utilities (Asset quantities are given and fixed).
1651:{\displaystyle \mathrm {SML} :E(R_{i})=R_{f}+\beta _{i}(E(R_{M})-R_{f}).~} 5240: 5180: 4932: 4912: 4892: 4887: 4832: 4721: 4653: 4084: 3828:
Black, F (1972). "Capital market equilibrium with restricted borrowing".
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Some data to this effect was presented as early as a 1969 conference in
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An estimation of the CAPM and the security market line (purple) for the
4989: 4917: 4837: 4514: 4377: 4159:(January–February 1982). "Does the capital asset pricing model work?". 4115: 4012: 3988: 3944: 3754: 3631: 3551: 3050: 3018: 1855:
is too low (the asset is currently undervalued), assuming that at time
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Assume all information is available at the same time to all investors.
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Merton, R.C. (1973). "An Intertemporal Capital Asset Pricing Model".
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Elton, E. J.; Gruber, M. J.; Brown, S. J.; Goetzmann, W. N. (2009).
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French, Craig W. (2003). "The Treynor Capital Asset Pricing Model".
2740: 2361: 2254: 2157: 1437: 1362: 271: 156:) is a model used to determine a theoretically appropriate required 35: 4731: 4367: 3841: 3326:
Roll, R. (1977). "A Critique of the Asset Pricing Theory's Tests".
2886:(3. ed.). Harlow : Financial Times/Prentice Hall. p. 354. 2345: 449:{\displaystyle {\frac {E(R_{i})-R_{f}}{\beta _{i}}}=E(R_{m})-R_{f}} 3914: 3852:(1968). "Risk, Return and Equilibrium: Some Clarifying Comments". 1828:, a higher expected return than what CAPM suggests indicates that 4575: 3229:
Baker, Malcolm; Bradley, Brendan; Wurgler, Jeffrey (2010-12-22).
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The relationship between β and required return is plotted on the
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Jack Treynor's 'Toward a Theory of Market Value of Risky Assets'
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Shefrin, H.; Statman, M. (2000). "Behavioral Portfolio Theory".
2861:(7th International ed.). Boston: McGraw-Hill. p. 303. 4318: 4958: 3820:
Black, Fischer., Michael C. Jensen, and Myron Scholes (1972).
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https://www.nobelprize.org/uploads/2018/06/sharpe-lecture.pdf
161: 3955:(1999). "The early history of portfolio theory: 1600–1960". 3170: 3001:"News and insight | Wealth Management | Barclays" 2741:
James Chong; Yanbo Jin; Michael Phillips (April 29, 2013).
2241:), therefore, expects performance in line with the market. 2234: 1314:{\displaystyle E(R_{i})-R_{f}=\beta _{i}(E(R_{m})-R_{f})\,} 596:{\displaystyle E(R_{i})=R_{f}+\beta _{i}(E(R_{m})-R_{f})\,} 132: 1821:{\displaystyle E(R_{t})={\frac {E(P_{t+1})-P_{t}}{P_{t}}}} 459:
The market reward-to-risk ratio is effectively the market
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Post, Thierry; van Vliet, Pim; Levy, Haim (2008-07-01).
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of the market and the expected return of a theoretical
3722: 3685: 3019:"Skewness Preference and the Valuation of Risk Assets" 2771:"The Capital Asset Pricing Model: Theory and Evidence" 2478:
Are broadly diversified across a range of investments.
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and by rearranging the above equation and solving for
230:(1966) independently, building on the earlier work of 3822:
The Capital Asset Pricing Model: Some Empirical Tests
2944:. Research in Finance. Vol. 32. pp. 19–34. 2481:
Are price takers, i.e., they cannot influence prices.
2123: 1920: 1890: 1861: 1834: 1741: 1721: 1676: 1544: 1226: 1199: 1168: 1147: 1116: 1095: 1075: 1038: 981: 924: 883: 734: 691: 659: 615: 508: 469: 362: 499:, we obtain the capital asset pricing model (CAPM). 3981:
Fischer Black and the Revolutionary Idea of Finance
3449: 3414: 3228: 60:. Unsourced material may be challenged and removed. 3379: 2136: 2106: 1903: 1873: 1847: 1820: 1727: 1698: 1650: 1313: 1217:Restated, in terms of risk premium, we find that: 1205: 1181: 1153: 1129: 1101: 1081: 1057: 1019: 962: 908: 868: 710: 675: 643: 595: 491: 448: 3991:(1966). "Equilibrium in a Capital Asset Market". 3794: 3063: 3016: 2769:Fama, Eugene F; French, Kenneth R (Summer 2004). 2456:, the total risk of a portfolio can be viewed as 2147: 5500: 2764: 2762: 4150:Toward a Theory of Market Value of Risky Assets 4089:"Liquidity Preference as Behavior towards Risk" 3313:Modern portfolio theory and investment analysis 2856: 2631:(CCAPM) of Douglas Breeden and Mark Rubinstein. 2144:is the future price of the asset or portfolio. 2107:{\displaystyle P_{0}={\frac {1}{1+R_{f}}}\left} 1881:the asset returns to the CAPM suggested price. 3679: 3602:Journal of Financial and Quantitative Analysis 3599: 3196:CFA Institute Conference Proceedings Quarterly 344:(SML) and its relation to expected return and 186:(β) in the financial industry, as well as the 4974: 4183: 3875:"The Cross-Section of Expected Stock Returns" 3132:"The Cross-Section of Expected Stock Returns" 3017:Kraus, Alan; Litzenberger, Robert H. (1976). 2759: 164:, to make decisions about adding assets to a 3130:Fama, Eugene F.; French, Kenneth R. (1992). 2827: 2825: 2487:Trade without transaction or taxation costs. 1709:fundamental or technical analysis techniques 5458:Alternative investment management companies 5435:Standards Board for Alternative Investments 4155: 4144:. Vol. 95–209. Unpublished manuscript. 2857:Bodie, Z.; Kane, A.; Marcus, A. J. (2008). 2390:. Unsourced material may be challenged and 2283:. Unsourced material may be challenged and 2244: 2186:. Unsourced material may be challenged and 1466:. Unsourced material may be challenged and 1391:. Unsourced material may be challenged and 651:is the expected return on the capital asset 300:. Unsourced material may be challenged and 5483: 5339:Taxation of private equity and hedge funds 4981: 4967: 4190: 4176: 4034:. Hoboken, NJ: John Wiley & Sons, Inc. 4026: 3983:. Hoboken, NJ: John Wiley & Sons, Inc. 3872: 3652: 3129: 2903:International Journal of Financial Studies 2831: 2768: 2323:, also known as undiversifiable risk, and 1670:Once the expected/required rate of return 1506:-axis represents the risk (beta), and the 4063: 3951: 3890: 3873:Fama, Eugene F.; French, Kenneth (1992). 3736: 3699: 3670: 3613: 3352: 3147: 2924: 2914: 2822: 2786: 2612:in 1977, and is generally referred to as 2410:Learn how and when to remove this message 2303:Learn how and when to remove this message 2206:Learn how and when to remove this message 1486:Learn how and when to remove this message 1411:Learn how and when to remove this message 1310: 592: 320:Learn how and when to remove this message 120:Learn how and when to remove this message 3975: 3193: 2427: 131: 4136: 3919: 3901:The Treynor Capital Asset Pricing Model 3795:Lai, Tsong-Yue; Stohs, Mark H. (2015). 3564: 3558: 3066:"Risk aversion and skewness preference" 2218:The CAPM returns the asset-appropriate 1427: 14: 5501: 4038: 4032:A History of the Theory of Investments 3987: 3767: 3529: 3499:: CS1 maint: archived copy as title ( 2939: 2896: 2881: 2801: 2680:Chance-constrained portfolio selection 250:for this contribution to the field of 5039:fixed-income relative-value investing 4962: 4197: 4171: 4083: 3827: 3315:. John Wiley & Sons. p. 347. 2351: 182:), often represented by the quantity 3848: 3325: 2734: 2388:adding citations to reliable sources 2355: 2281:adding citations to reliable sources 2248: 2184:adding citations to reliable sources 2151: 1464:adding citations to reliable sources 1431: 1389:adding citations to reliable sources 1356: 916:is the expected return of the market 298:adding citations to reliable sources 265: 58:adding citations to reliable sources 29: 24: 4065:10.1111/j.1540-6261.1964.tb02865.x 4056:10.1111/j.1540-6261.1964.tb02865.x 3925:Review of Economics and Statistics 3892:10.1111/j.1540-6261.1992.tb04398.x 3866:10.1111/j.1540-6261.1968.tb02996.x 3149:10.1111/j.1540-6261.1992.tb04398.x 2627:(ICAPM) of Robert Merton, and the 2076: 2073: 2070: 1996: 1993: 1990: 1552: 1549: 1546: 800: 797: 794: 758: 755: 752: 25: 5540: 3801:International Journal of Business 2505:In their 2004 review, economists 2452:Because the unsystematic risk is 1352: 248:Nobel Memorial Prize in Economics 5482: 5473: 5472: 5463: 5462: 5453: 5452: 5159: 4446:Electronic communication network 3070:Journal of Banking & Finance 2950:10.1108/S0196-382120160000032002 2804:Journal of Investment Management 2775:Journal of Economic Perspectives 2360: 2253: 2156: 1665: 1436: 1361: 270: 34: 4988: 3915:http://ssrn.com/abstract=628187 3814: 3788: 3761: 3716: 3646: 3593: 3523: 3507: 3462: 3452:Review of Asset Pricing Studies 3443: 3408: 3382:Journal of Portfolio Management 3373: 3346: 3319: 3304: 3278:Journal of Portfolio Management 3269: 3222: 3187: 3164: 3123: 3096: 3057: 3010: 2993: 2981: 2966: 1020:{\displaystyle E(R_{i})-R_{f}~} 963:{\displaystyle E(R_{m})-R_{f}~} 45:needs additional citations for 4096:The Review of Economic Studies 4023:, Journal of Finance, 32 (177) 3688:Journal of Financial Economics 3567:Journal of Financial Economics 3355:Journal of Financial Economics 3328:Journal of Financial Economics 3082:10.1016/j.jbankfin.2006.02.008 2933: 2890: 2884:Corporate financial management 2875: 2850: 2795: 2723: 2691:Fama–French three-factor model 2648:Fama–French three-factor model 2493:Have homogeneous expectations. 2463: 2148:Asset-specific required return 2093: 2080: 2064: 2048: 2035: 2029: 2026: 2000: 1980: 1967: 1789: 1770: 1758: 1745: 1693: 1680: 1639: 1623: 1610: 1604: 1575: 1562: 1307: 1291: 1278: 1272: 1243: 1230: 998: 985: 941: 928: 900: 887: 817: 804: 788: 762: 632: 619: 589: 573: 560: 554: 525: 512: 486: 473: 430: 417: 382: 369: 331: 140:over 3 years for monthly data. 13: 1: 4440:Multilateral trading facility 2717: 2475:Are rational and risk-averse. 69:"Capital asset pricing model" 5313:security characteristic line 4863:Returns-based style analysis 4659:Post-modern portfolio theory 4565:Security characteristic line 4142:Market Value, Time, and Risk 3710:10.1016/0304-405X(93)90023-5 3579:10.1016/0304-405X(79)90016-3 3367:10.1016/0304-405X(82)90002-2 3340:10.1016/0304-405X(77)90009-5 2712:Roy's safety-first criterion 1345:For the full derivation see 711:{\displaystyle \beta _{i}~~} 209: 138:Dow Jones Industrial Average 7: 5301:Capital asset pricing model 5020:Capital structure arbitrage 4617:Efficient-market hypothesis 4521:Capital asset pricing model 4458:Straight-through processing 3659:Journal of Asset Management 2836:. Oxford University Press. 2658: 2637:behavioral portfolio theory 2584:efficient-market hypothesis 2500: 1182:{\displaystyle \sigma _{m}} 1130:{\displaystyle \sigma _{i}} 1058:{\displaystyle \rho _{i,m}} 214:The CAPM was introduced by 150:capital asset pricing model 18:Capital Asset Pricing Model 10: 5545: 5103:Commodity trading advisors 4434:Alternative Trading System 3957:Financial Analysts Journal 3417:Financial Analysts Journal 3235:Financial Analysts Journal 2990:. Retrieved June 20, 2021. 2978:. Retrieved June 20, 2021. 2832:Luenberger, David (1997). 2641:Maslowian portfolio theory 2421: 1711:, including P/E, M/B etc. 970:is sometimes known as the 644:{\displaystyle E(R_{i})~~} 261: 246:jointly received the 1990 204:Merton's portfolio problem 5448: 5440:Managed Funds Association 5422: 5384:High-net-worth individual 5356: 5264: 5218: 5209: 5168: 5157: 5135: 5090: 5057: 5005: 4996: 4709: 4584: 4483: 4403: 4311: 4278: 4239: 4205: 4148:Treynor, Jack L. (1962). 4019:Ross, Stephen A. (1977). 3913:(December). Available at 3909:French, Craig W. (2002). 3899:French, Craig W. (2003). 3770:Business Valuation Review 2675:Carhart four-factor model 909:{\displaystyle E(R_{m})~} 5277:Arbitrage pricing theory 4498:Arbitrage pricing theory 3782:10.5791/BVR-D-12-00001.1 3653:De Brouwer, Ph. (2009). 2788:10.1257/0895330042162430 2665:Arbitrage pricing theory 2245:Risk and diversification 1699:{\displaystyle E(R_{i})} 492:{\displaystyle E(R_{i})} 242:. Sharpe, Markowitz and 200:arbitrage pricing theory 5509:Financial risk modeling 5389:Institutional investors 5282:Assets under management 5107:managed futures account 4777:Initial public offering 4638:Modern portfolio theory 4533:Dividend discount model 4416:List of stock exchanges 4161:Harvard Business Review 3969:10.2469/faj.v55.n4.2281 3394:10.3905/jpm.1985.409036 3117:10.1111/0022-1082.00350 2940:French, Jordan (2016). 2897:French, Jordan (2016). 2707:Modern portfolio theory 2438:capital allocation line 1347:Modern portfolio theory 1326:individual risk premium 1069:between the investment 1067:correlation coefficient 1029:individual risk premium 240:modern portfolio theory 5414:Sovereign wealth funds 5186:High-frequency trading 5035:Fixed income arbitrage 4665:Random walk hypothesis 3290:10.3905/jpm.2019.1.114 3136:The Journal of Finance 3023:The Journal of Finance 2702:Low-volatility anomaly 2592:low-volatility anomaly 2558:Avanidhar Subrahmanyam 2528:coherent risk measures 2441: 2138: 2108: 1905: 1875: 1849: 1822: 1729: 1700: 1652: 1324:which states that the 1315: 1207: 1183: 1155: 1131: 1103: 1083: 1059: 1021: 964: 910: 870: 712: 677: 676:{\displaystyle R_{f}~} 645: 597: 493: 450: 141: 5524:Corporate development 5256:Structured securities 5072:Distressed securities 5044:Statistical arbitrage 5030:Equity market neutral 5025:Convertible arbitrage 4803:Market capitalization 4612:Dollar cost averaging 4157:Mullins Jr., David W. 3284:(1): jpm.2019.1.114. 2882:Arnold, Glen (2005). 2436:. CAL stands for the 2431: 2139: 2137:{\displaystyle P_{T}} 2109: 1906: 1904:{\displaystyle P_{0}} 1876: 1850: 1848:{\displaystyle P_{t}} 1823: 1730: 1701: 1653: 1316: 1208: 1184: 1156: 1132: 1104: 1084: 1060: 1027:is also known as the 1022: 965: 911: 871: 713: 678: 646: 598: 494: 451: 135: 27:Model used in finance 5374:Financial endowments 5319:Fundamental analysis 5067:Shareholder activism 5049:Volatility arbitrage 4623:Fundamental analysis 4607:Contrarian investing 4570:Security market line 4475:Liquidity aggregator 4452:Direct market access 4363:Quantitative analyst 3905:http://www.joim.com/ 3429:10.2469/faj.v70.n2.1 3247:10.2469/faj.v67.n1.4 2588:volatility arbitrage 2447:infinitely divisible 2384:improve this section 2277:improve this section 2180:improve this section 2121: 1918: 1888: 1859: 1832: 1739: 1719: 1674: 1542: 1515:security market line 1460:improve this section 1428:Security market line 1385:improve this section 1224: 1197: 1166: 1145: 1114: 1093: 1073: 1036: 979: 922: 881: 732: 689: 657: 613: 506: 467: 360: 350:reward-to-risk ratio 342:security market line 294:improve this section 54:improve this article 5488:List of hedge funds 5478:Hedge fund managers 5394:Insurance companies 5379:Fund of hedge funds 5287:Black–Scholes model 5201:Proprietary trading 5176:Algorithmic trading 5143:Fund of hedge funds 4868:Reverse stock split 4813:Market manipulation 4737:Dual-listed company 4597:Algorithmic trading 4527:Capital market line 4329:Inter-dealer broker 3953:Markowitz, Harry M. 3797:"Yes, CAPM is dead" 3672:10.1057/jam.2008.35 3208:10.2469/cp.v29.n1.2 2916:10.3390/ijfs4030015 1874:{\displaystyle t+1} 1141:for the investment 252:financial economics 196:normal distribution 5344:Technical analysis 4908:Stock market index 4747:Efficient frontier 4686:Technical analysis 4644:Momentum investing 4466:(private exchange) 4356:Proprietary trader 4298:Shares outstanding 4288:Authorised capital 4044:Journal of Finance 4040:Sharpe, William F. 3879:Journal of Finance 3854:Journal of Finance 3725:Journal of Finance 3173:SSRN Working Paper 3105:Journal of Finance 2834:Investment Science 2696:Intertemporal CAPM 2625:intertemporal CAPM 2550:behavioral finance 2442: 2434:efficient frontier 2424:Efficient frontier 2352:Efficient frontier 2134: 2104: 1901: 1871: 1845: 1818: 1725: 1696: 1648: 1311: 1203: 1191:standard deviation 1179: 1151: 1139:standard deviation 1127: 1099: 1079: 1055: 1017: 960: 906: 866: 708: 673: 641: 593: 489: 446: 142: 5529:Management theory 5514:Financial markets 5496: 5495: 5352: 5351: 5155: 5154: 5122:Long/short equity 5098:Convergence trade 5082:Special situation 4956: 4955: 4757:Flight-to-quality 4509:Buffett indicator 4199:Financial markets 4140:(8 August 1961). 3519:978-0-19-829694-2 2959:978-1-78635-156-2 2868:978-0-07-125916-3 2843:978-0-19-510809-5 2568:Buffalo, New York 2554:David Hirshleifer 2420: 2419: 2412: 2325:unsystematic risk 2313: 2312: 2305: 2216: 2215: 2208: 2097: 1957: 1816: 1728:{\displaystyle t} 1647: 1496: 1495: 1488: 1421: 1420: 1413: 1206:{\displaystyle m} 1154:{\displaystyle i} 1102:{\displaystyle m} 1082:{\displaystyle i} 1016: 959: 905: 864: 821: 707: 704: 672: 640: 637: 409: 338: 337: 330: 329: 322: 220:William F. Sharpe 130: 129: 122: 104: 16:(Redirected from 5536: 5519:Financial models 5486: 5485: 5476: 5475: 5466: 5465: 5456: 5455: 5399:Investment banks 5246:Foreign exchange 5216: 5215: 5163: 5003: 5002: 4983: 4976: 4969: 4960: 4959: 4873:Share repurchase 4585:Trading theories 4470:Crossing network 4428:Over-the-counter 4265:Restricted stock 4221:Secondary market 4192: 4185: 4178: 4169: 4168: 4164: 4145: 4138:Treynor, Jack L. 4133: 4131: 4130: 4124: 4118:. Archived from 4093: 4077: 4067: 4035: 4028:Rubinstein, Mark 4016: 3984: 3972: 3948: 3896: 3894: 3869: 3845: 3809: 3808: 3792: 3786: 3785: 3765: 3759: 3758: 3740: 3720: 3714: 3713: 3703: 3683: 3677: 3676: 3674: 3650: 3644: 3643: 3617: 3597: 3591: 3590: 3562: 3556: 3555: 3527: 3521: 3511: 3505: 3504: 3498: 3490: 3488: 3487: 3481: 3475:. Archived from 3474: 3466: 3460: 3459: 3447: 3441: 3440: 3412: 3406: 3405: 3377: 3371: 3370: 3350: 3344: 3343: 3323: 3317: 3316: 3308: 3302: 3301: 3273: 3267: 3266: 3226: 3220: 3219: 3191: 3185: 3184: 3168: 3162: 3161: 3151: 3127: 3121: 3120: 3100: 3094: 3093: 3076:(7): 1178–1187. 3061: 3055: 3054: 3029:(4): 1085–1100. 3014: 3008: 3007: 3005: 2997: 2991: 2985: 2979: 2970: 2964: 2963: 2937: 2931: 2930: 2928: 2918: 2894: 2888: 2887: 2879: 2873: 2872: 2854: 2848: 2847: 2829: 2820: 2819: 2799: 2793: 2792: 2790: 2766: 2757: 2756: 2754: 2752: 2747: 2738: 2732: 2727: 2685:Consumption beta 2635:portfolio — see 2629:consumption CAPM 2548:in the field of 2432:The (Markowitz) 2415: 2408: 2404: 2401: 2395: 2364: 2356: 2308: 2301: 2297: 2294: 2288: 2257: 2249: 2228:utility function 2211: 2204: 2200: 2197: 2191: 2160: 2152: 2143: 2141: 2140: 2135: 2133: 2132: 2113: 2111: 2110: 2105: 2103: 2099: 2098: 2096: 2092: 2091: 2079: 2067: 2063: 2062: 2047: 2046: 2025: 2024: 2012: 2011: 1999: 1987: 1979: 1978: 1958: 1956: 1955: 1954: 1935: 1930: 1929: 1910: 1908: 1907: 1902: 1900: 1899: 1884:The asset price 1880: 1878: 1877: 1872: 1854: 1852: 1851: 1846: 1844: 1843: 1827: 1825: 1824: 1819: 1817: 1815: 1814: 1805: 1804: 1803: 1788: 1787: 1765: 1757: 1756: 1734: 1732: 1731: 1726: 1707:based on either 1705: 1703: 1702: 1697: 1692: 1691: 1657: 1655: 1654: 1649: 1645: 1638: 1637: 1622: 1621: 1603: 1602: 1590: 1589: 1574: 1573: 1555: 1491: 1484: 1480: 1477: 1471: 1440: 1432: 1416: 1409: 1405: 1402: 1396: 1365: 1357: 1320: 1318: 1317: 1312: 1306: 1305: 1290: 1289: 1271: 1270: 1258: 1257: 1242: 1241: 1212: 1210: 1209: 1204: 1188: 1186: 1185: 1180: 1178: 1177: 1160: 1158: 1157: 1152: 1136: 1134: 1133: 1128: 1126: 1125: 1108: 1106: 1105: 1100: 1088: 1086: 1085: 1080: 1064: 1062: 1061: 1056: 1054: 1053: 1026: 1024: 1023: 1018: 1014: 1013: 1012: 997: 996: 969: 967: 966: 961: 957: 956: 955: 940: 939: 915: 913: 912: 907: 903: 899: 898: 875: 873: 872: 867: 865: 863: 862: 853: 852: 843: 841: 840: 822: 820: 816: 815: 803: 791: 787: 786: 774: 773: 761: 749: 744: 743: 717: 715: 714: 709: 705: 702: 701: 700: 682: 680: 679: 674: 670: 669: 668: 650: 648: 647: 642: 638: 635: 631: 630: 602: 600: 599: 594: 588: 587: 572: 571: 553: 552: 540: 539: 524: 523: 498: 496: 495: 490: 485: 484: 455: 453: 452: 447: 445: 444: 429: 428: 410: 408: 407: 398: 397: 396: 381: 380: 364: 332: 325: 318: 314: 311: 305: 274: 266: 166:well-diversified 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 5544: 5543: 5539: 5538: 5537: 5535: 5534: 5533: 5499: 5498: 5497: 5492: 5444: 5430:Fund governance 5418: 5348: 5272:Absolute return 5260: 5211: 5205: 5196:Program trading 5191:Prime brokerage 5164: 5151: 5131: 5127:Trend following 5112:Dedicated short 5086: 5053: 5010: 4998: 4992: 4987: 4957: 4952: 4943:Voting interest 4853:Public offering 4788:Mandatory offer 4762:Government bond 4742:DuPont analysis 4705: 4701:Value investing 4696:Value averaging 4691:Trend following 4676:Style investing 4671:Sector rotation 4586: 4580: 4559:Net asset value 4485:Stock valuation 4479: 4399: 4307: 4274: 4260:Preferred stock 4235: 4201: 4196: 4128: 4126: 4122: 4108:10.2307/2296205 4091: 4005:10.2307/1910098 3977:Mehrling, Perry 3937:10.2307/1924119 3850:Fama, Eugene F. 3817: 3812: 3793: 3789: 3766: 3762: 3747:10.2307/2329112 3721: 3717: 3701:10.1.1.139.5892 3684: 3680: 3651: 3647: 3624:10.2307/2676187 3615:10.1.1.143.8443 3598: 3594: 3563: 3559: 3544:10.2307/1913811 3528: 3524: 3512: 3508: 3492: 3491: 3485: 3483: 3479: 3472: 3470:"Archived copy" 3468: 3467: 3463: 3448: 3444: 3413: 3409: 3378: 3374: 3351: 3347: 3324: 3320: 3309: 3305: 3274: 3270: 3227: 3223: 3192: 3188: 3169: 3165: 3128: 3124: 3101: 3097: 3062: 3058: 3035:10.2307/2326275 3015: 3011: 3003: 2999: 2998: 2994: 2986: 2982: 2971: 2967: 2960: 2938: 2934: 2895: 2891: 2880: 2876: 2869: 2855: 2851: 2844: 2830: 2823: 2800: 2796: 2767: 2760: 2750: 2748: 2745: 2739: 2735: 2728: 2724: 2720: 2670:Build-up method 2661: 2614:Roll's critique 2539:Casino gamblers 2532:Barclays Wealth 2503: 2468:All investors: 2466: 2426: 2416: 2405: 2399: 2396: 2381: 2365: 2354: 2321:systematic risk 2309: 2298: 2292: 2289: 2274: 2258: 2247: 2220:required return 2212: 2201: 2195: 2192: 2177: 2161: 2150: 2128: 2124: 2122: 2119: 2118: 2087: 2083: 2069: 2068: 2058: 2054: 2042: 2038: 2020: 2016: 2007: 2003: 1989: 1988: 1986: 1974: 1970: 1963: 1959: 1950: 1946: 1939: 1934: 1925: 1921: 1919: 1916: 1915: 1895: 1891: 1889: 1886: 1885: 1860: 1857: 1856: 1839: 1835: 1833: 1830: 1829: 1810: 1806: 1799: 1795: 1777: 1773: 1766: 1764: 1752: 1748: 1740: 1737: 1736: 1720: 1717: 1716: 1687: 1683: 1675: 1672: 1671: 1668: 1633: 1629: 1617: 1613: 1598: 1594: 1585: 1581: 1569: 1565: 1545: 1543: 1540: 1539: 1534: 1525: 1492: 1481: 1475: 1472: 1457: 1441: 1430: 1417: 1406: 1400: 1397: 1382: 1366: 1355: 1301: 1297: 1285: 1281: 1266: 1262: 1253: 1249: 1237: 1233: 1225: 1222: 1221: 1198: 1195: 1194: 1193:for the market 1173: 1169: 1167: 1164: 1163: 1146: 1143: 1142: 1121: 1117: 1115: 1112: 1111: 1094: 1091: 1090: 1089:and the market 1074: 1071: 1070: 1043: 1039: 1037: 1034: 1033: 1008: 1004: 992: 988: 980: 977: 976: 951: 947: 935: 931: 923: 920: 919: 894: 890: 882: 879: 878: 858: 854: 848: 844: 842: 830: 826: 811: 807: 793: 792: 782: 778: 769: 765: 751: 750: 748: 739: 735: 733: 730: 729: 696: 692: 690: 687: 686: 664: 660: 658: 655: 654: 626: 622: 614: 611: 610: 583: 579: 567: 563: 548: 544: 535: 531: 519: 515: 507: 504: 503: 480: 476: 468: 465: 464: 440: 436: 424: 420: 403: 399: 392: 388: 376: 372: 365: 363: 361: 358: 357: 346:systematic risk 326: 315: 309: 306: 291: 275: 264: 236:diversification 232:Harry Markowitz 212: 192:risk-free asset 188:expected return 176:systematic risk 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 15: 12: 11: 5: 5542: 5532: 5531: 5526: 5521: 5516: 5511: 5494: 5493: 5491: 5490: 5480: 5470: 5460: 5449: 5446: 5445: 5443: 5442: 5437: 5432: 5426: 5424: 5420: 5419: 5417: 5416: 5411: 5406: 5404:Merchant banks 5401: 5396: 5391: 5386: 5381: 5376: 5371: 5369:Family offices 5366: 5360: 5358: 5354: 5353: 5350: 5349: 5347: 5346: 5341: 5336: 5331: 5329:Securitization 5326: 5321: 5316: 5298: 5284: 5279: 5274: 5268: 5266: 5262: 5261: 5259: 5258: 5253: 5248: 5243: 5238: 5233: 5228: 5222: 5220: 5213: 5207: 5206: 5204: 5203: 5198: 5193: 5188: 5183: 5178: 5172: 5170: 5166: 5165: 5158: 5156: 5153: 5152: 5150: 5149: 5139: 5137: 5133: 5132: 5130: 5129: 5124: 5119: 5114: 5109: 5100: 5094: 5092: 5088: 5087: 5085: 5084: 5079: 5077:Risk arbitrage 5074: 5069: 5063: 5061: 5055: 5054: 5052: 5051: 5046: 5041: 5032: 5027: 5022: 5016: 5014: 5012:relative value 5000: 4994: 4993: 4986: 4985: 4978: 4971: 4963: 4954: 4953: 4951: 4950: 4945: 4940: 4935: 4930: 4925: 4920: 4915: 4910: 4905: 4903:Stock exchange 4900: 4898:Stock dilution 4895: 4890: 4885: 4880: 4875: 4870: 4865: 4860: 4855: 4850: 4845: 4840: 4835: 4830: 4825: 4823:Mean reversion 4820: 4815: 4810: 4805: 4800: 4798:Market anomaly 4795: 4790: 4785: 4780: 4774: 4769: 4764: 4759: 4754: 4749: 4744: 4739: 4734: 4729: 4724: 4719: 4717:Bid–ask spread 4713: 4711: 4707: 4706: 4704: 4703: 4698: 4693: 4688: 4683: 4678: 4673: 4668: 4662: 4656: 4651: 4646: 4641: 4635: 4630: 4625: 4620: 4614: 4609: 4604: 4599: 4593: 4591: 4582: 4581: 4579: 4578: 4573: 4567: 4562: 4556: 4551: 4546: 4544:Earnings yield 4541: 4539:Dividend yield 4536: 4530: 4524: 4518: 4512: 4506: 4501: 4495: 4489: 4487: 4481: 4480: 4478: 4477: 4472: 4467: 4461: 4455: 4449: 4443: 4437: 4431: 4430:(off-exchange) 4425: 4424: 4423: 4418: 4407: 4405: 4404:Trading venues 4401: 4400: 4398: 4397: 4392: 4391: 4390: 4380: 4375: 4370: 4365: 4360: 4359: 4358: 4353: 4343: 4338: 4333: 4332: 4331: 4326: 4315: 4313: 4309: 4308: 4306: 4305: 4303:Treasury stock 4300: 4295: 4290: 4284: 4282: 4276: 4275: 4273: 4272: 4270:Tracking stock 4267: 4262: 4257: 4252: 4246: 4244: 4237: 4236: 4234: 4233: 4228: 4223: 4218: 4216:Primary market 4212: 4210: 4203: 4202: 4195: 4194: 4187: 4180: 4172: 4166: 4165: 4153: 4146: 4134: 4081: 4078: 4050:(3): 425–442. 4036: 4024: 4017: 3999:(4): 768–783. 3985: 3973: 3949: 3917: 3907: 3897: 3885:(2): 427–466. 3870: 3846: 3842:10.1086/295472 3836:(3): 444–455. 3825: 3816: 3813: 3811: 3810: 3787: 3760: 3738:10.1.1.556.954 3731:(2): 427–465. 3715: 3678: 3665:(6): 359–365. 3645: 3608:(2): 127–151. 3592: 3573:(3): 265–296. 3557: 3538:(5): 867–887. 3522: 3506: 3461: 3442: 3407: 3372: 3361:(3): 237–268. 3345: 3334:(2): 129–176. 3318: 3303: 3268: 3221: 3186: 3163: 3142:(2): 427–465. 3122: 3111:(3): 921–965. 3095: 3056: 3009: 2992: 2980: 2965: 2958: 2932: 2889: 2874: 2867: 2849: 2842: 2821: 2794: 2758: 2733: 2721: 2719: 2716: 2715: 2714: 2709: 2704: 2699: 2693: 2688: 2682: 2677: 2672: 2667: 2660: 2657: 2652: 2651: 2644: 2632: 2621: 2617: 2602: 2598: 2595: 2576:Michael Jensen 2570:in a paper by 2564: 2561: 2545: 2542: 2535: 2523: 2519: 2511:Kenneth French 2502: 2499: 2498: 2497: 2494: 2491: 2488: 2485: 2482: 2479: 2476: 2473: 2465: 2462: 2422:Main article: 2418: 2417: 2368: 2366: 2359: 2353: 2350: 2315:The risk of a 2311: 2310: 2261: 2259: 2252: 2246: 2243: 2214: 2213: 2164: 2162: 2155: 2149: 2146: 2131: 2127: 2115: 2114: 2102: 2095: 2090: 2086: 2082: 2078: 2075: 2072: 2066: 2061: 2057: 2053: 2050: 2045: 2041: 2037: 2034: 2031: 2028: 2023: 2019: 2015: 2010: 2006: 2002: 1998: 1995: 1992: 1985: 1982: 1977: 1973: 1969: 1966: 1962: 1953: 1949: 1945: 1942: 1938: 1933: 1928: 1924: 1898: 1894: 1870: 1867: 1864: 1842: 1838: 1813: 1809: 1802: 1798: 1794: 1791: 1786: 1783: 1780: 1776: 1772: 1769: 1763: 1760: 1755: 1751: 1747: 1744: 1724: 1695: 1690: 1686: 1682: 1679: 1667: 1664: 1659: 1658: 1644: 1641: 1636: 1632: 1628: 1625: 1620: 1616: 1612: 1609: 1606: 1601: 1597: 1593: 1588: 1584: 1580: 1577: 1572: 1568: 1564: 1561: 1558: 1554: 1551: 1548: 1530: 1521: 1494: 1493: 1444: 1442: 1435: 1429: 1426: 1419: 1418: 1369: 1367: 1360: 1354: 1353:Modified betas 1351: 1330:market premium 1322: 1321: 1309: 1304: 1300: 1296: 1293: 1288: 1284: 1280: 1277: 1274: 1269: 1265: 1261: 1256: 1252: 1248: 1245: 1240: 1236: 1232: 1229: 1215: 1214: 1202: 1176: 1172: 1161: 1150: 1124: 1120: 1109: 1098: 1078: 1052: 1049: 1046: 1042: 1031: 1011: 1007: 1003: 1000: 995: 991: 987: 984: 974: 972:market premium 954: 950: 946: 943: 938: 934: 930: 927: 917: 902: 897: 893: 889: 886: 876: 861: 857: 851: 847: 839: 836: 833: 829: 825: 819: 814: 810: 806: 802: 799: 796: 790: 785: 781: 777: 772: 768: 764: 760: 757: 754: 747: 742: 738: 699: 695: 684: 667: 663: 652: 634: 629: 625: 621: 618: 604: 603: 591: 586: 582: 578: 575: 570: 566: 562: 559: 556: 551: 547: 543: 538: 534: 530: 527: 522: 518: 514: 511: 488: 483: 479: 475: 472: 457: 456: 443: 439: 435: 432: 427: 423: 419: 416: 413: 406: 402: 395: 391: 387: 384: 379: 375: 371: 368: 336: 335: 328: 327: 278: 276: 269: 263: 260: 226:(1965a,b) and 218:(1961, 1962), 211: 208: 158:rate of return 128: 127: 42: 40: 33: 26: 9: 6: 4: 3: 2: 5541: 5530: 5527: 5525: 5522: 5520: 5517: 5515: 5512: 5510: 5507: 5506: 5504: 5489: 5481: 5479: 5471: 5469: 5461: 5459: 5451: 5450: 5447: 5441: 5438: 5436: 5433: 5431: 5428: 5427: 5425: 5421: 5415: 5412: 5410: 5409:Pension funds 5407: 5405: 5402: 5400: 5397: 5395: 5392: 5390: 5387: 5385: 5382: 5380: 5377: 5375: 5372: 5370: 5367: 5365: 5364:Vulture funds 5362: 5361: 5359: 5355: 5345: 5342: 5340: 5337: 5335: 5332: 5330: 5327: 5325: 5322: 5320: 5317: 5314: 5310: 5306: 5302: 5299: 5296: 5295:delta neutral 5292: 5288: 5285: 5283: 5280: 5278: 5275: 5273: 5270: 5269: 5267: 5263: 5257: 5254: 5252: 5251:Money markets 5249: 5247: 5244: 5242: 5239: 5237: 5234: 5232: 5229: 5227: 5224: 5223: 5221: 5217: 5214: 5208: 5202: 5199: 5197: 5194: 5192: 5189: 5187: 5184: 5182: 5179: 5177: 5174: 5173: 5171: 5167: 5162: 5148: 5147:Multi-manager 5144: 5141: 5140: 5138: 5134: 5128: 5125: 5123: 5120: 5118: 5115: 5113: 5110: 5108: 5104: 5101: 5099: 5096: 5095: 5093: 5089: 5083: 5080: 5078: 5075: 5073: 5070: 5068: 5065: 5064: 5062: 5060: 5056: 5050: 5047: 5045: 5042: 5040: 5036: 5033: 5031: 5028: 5026: 5023: 5021: 5018: 5017: 5015: 5013: 5008: 5004: 5001: 4995: 4991: 4984: 4979: 4977: 4972: 4970: 4965: 4964: 4961: 4949: 4946: 4944: 4941: 4939: 4936: 4934: 4931: 4929: 4926: 4924: 4921: 4919: 4916: 4914: 4911: 4909: 4906: 4904: 4901: 4899: 4896: 4894: 4891: 4889: 4886: 4884: 4881: 4879: 4878:Short selling 4876: 4874: 4871: 4869: 4866: 4864: 4861: 4859: 4856: 4854: 4851: 4849: 4846: 4844: 4841: 4839: 4836: 4834: 4831: 4829: 4826: 4824: 4821: 4819: 4816: 4814: 4811: 4809: 4806: 4804: 4801: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4778: 4775: 4773: 4770: 4768: 4767:Greenspan put 4765: 4763: 4760: 4758: 4755: 4753: 4752:Financial law 4750: 4748: 4745: 4743: 4740: 4738: 4735: 4733: 4730: 4728: 4727:Cross listing 4725: 4723: 4720: 4718: 4715: 4714: 4712: 4710:Related terms 4708: 4702: 4699: 4697: 4694: 4692: 4689: 4687: 4684: 4682: 4681:Swing trading 4679: 4677: 4674: 4672: 4669: 4666: 4663: 4660: 4657: 4655: 4652: 4650: 4649:Mosaic theory 4647: 4645: 4642: 4639: 4636: 4634: 4633:Market timing 4631: 4629: 4626: 4624: 4621: 4618: 4615: 4613: 4610: 4608: 4605: 4603: 4600: 4598: 4595: 4594: 4592: 4590: 4583: 4577: 4574: 4571: 4568: 4566: 4563: 4560: 4557: 4555: 4552: 4550: 4547: 4545: 4542: 4540: 4537: 4534: 4531: 4528: 4525: 4522: 4519: 4516: 4513: 4510: 4507: 4505: 4502: 4499: 4496: 4494: 4491: 4490: 4488: 4486: 4482: 4476: 4473: 4471: 4468: 4465: 4462: 4459: 4456: 4453: 4450: 4447: 4444: 4441: 4438: 4435: 4432: 4429: 4426: 4422: 4421:Trading hours 4419: 4417: 4414: 4413: 4412: 4409: 4408: 4406: 4402: 4396: 4393: 4389: 4386: 4385: 4384: 4381: 4379: 4376: 4374: 4371: 4369: 4366: 4364: 4361: 4357: 4354: 4352: 4349: 4348: 4347: 4344: 4342: 4339: 4337: 4336:Broker-dealer 4334: 4330: 4327: 4325: 4322: 4321: 4320: 4317: 4316: 4314: 4310: 4304: 4301: 4299: 4296: 4294: 4293:Issued shares 4291: 4289: 4286: 4285: 4283: 4281: 4280:Share capital 4277: 4271: 4268: 4266: 4263: 4261: 4258: 4256: 4253: 4251: 4248: 4247: 4245: 4243: 4238: 4232: 4231:Fourth market 4229: 4227: 4224: 4222: 4219: 4217: 4214: 4213: 4211: 4209: 4204: 4200: 4193: 4188: 4186: 4181: 4179: 4174: 4173: 4170: 4162: 4158: 4154: 4151: 4147: 4143: 4139: 4135: 4125:on 2020-11-27 4121: 4117: 4113: 4109: 4105: 4101: 4097: 4090: 4086: 4082: 4079: 4075: 4071: 4066: 4061: 4057: 4053: 4049: 4045: 4041: 4037: 4033: 4029: 4025: 4022: 4018: 4014: 4010: 4006: 4002: 3998: 3994: 3990: 3986: 3982: 3978: 3974: 3970: 3966: 3962: 3958: 3954: 3950: 3946: 3942: 3938: 3934: 3930: 3926: 3922: 3921:Lintner, John 3918: 3916: 3912: 3908: 3906: 3902: 3898: 3893: 3888: 3884: 3880: 3876: 3871: 3867: 3863: 3859: 3855: 3851: 3847: 3843: 3839: 3835: 3831: 3826: 3823: 3819: 3818: 3807:(2): 144–158. 3806: 3802: 3798: 3791: 3783: 3779: 3775: 3771: 3764: 3756: 3752: 3748: 3744: 3739: 3734: 3730: 3726: 3719: 3711: 3707: 3702: 3697: 3693: 3689: 3682: 3673: 3668: 3664: 3660: 3656: 3649: 3641: 3637: 3633: 3629: 3625: 3621: 3616: 3611: 3607: 3603: 3596: 3588: 3584: 3580: 3576: 3572: 3568: 3561: 3553: 3549: 3545: 3541: 3537: 3533: 3526: 3520: 3516: 3510: 3502: 3496: 3482:on 2014-07-25 3478: 3471: 3465: 3457: 3453: 3446: 3438: 3434: 3430: 3426: 3422: 3418: 3411: 3403: 3399: 3395: 3391: 3387: 3383: 3376: 3368: 3364: 3360: 3356: 3349: 3341: 3337: 3333: 3329: 3322: 3314: 3307: 3299: 3295: 3291: 3287: 3283: 3279: 3272: 3264: 3260: 3256: 3252: 3248: 3244: 3240: 3236: 3232: 3225: 3217: 3213: 3209: 3205: 3201: 3197: 3190: 3182: 3178: 3174: 3167: 3159: 3155: 3150: 3145: 3141: 3137: 3133: 3126: 3118: 3114: 3110: 3106: 3099: 3091: 3087: 3083: 3079: 3075: 3071: 3067: 3060: 3052: 3048: 3044: 3040: 3036: 3032: 3028: 3024: 3020: 3013: 3002: 2996: 2989: 2984: 2977: 2974: 2969: 2961: 2955: 2951: 2947: 2943: 2936: 2927: 2922: 2917: 2912: 2908: 2904: 2900: 2893: 2885: 2878: 2870: 2864: 2860: 2853: 2845: 2839: 2835: 2828: 2826: 2817: 2813: 2809: 2805: 2798: 2789: 2784: 2780: 2776: 2772: 2765: 2763: 2744: 2737: 2731: 2726: 2722: 2713: 2710: 2708: 2705: 2703: 2700: 2697: 2694: 2692: 2689: 2686: 2683: 2681: 2678: 2676: 2673: 2671: 2668: 2666: 2663: 2662: 2656: 2649: 2645: 2642: 2638: 2633: 2630: 2626: 2622: 2618: 2615: 2611: 2607: 2606:human capital 2603: 2599: 2596: 2593: 2589: 2585: 2581: 2580:Myron Scholes 2577: 2573: 2572:Fischer Black 2569: 2565: 2562: 2559: 2555: 2551: 2546: 2543: 2540: 2536: 2533: 2529: 2524: 2520: 2516: 2515: 2514: 2512: 2508: 2495: 2492: 2489: 2486: 2483: 2480: 2477: 2474: 2471: 2470: 2469: 2461: 2459: 2455: 2454:diversifiable 2450: 2448: 2439: 2435: 2430: 2425: 2414: 2411: 2403: 2393: 2389: 2385: 2379: 2378: 2374: 2369:This section 2367: 2363: 2358: 2357: 2349: 2347: 2342: 2337: 2334: 2330: 2326: 2322: 2318: 2307: 2304: 2296: 2286: 2282: 2278: 2272: 2271: 2267: 2262:This section 2260: 2256: 2251: 2250: 2242: 2240: 2236: 2231: 2229: 2223: 2221: 2210: 2207: 2199: 2189: 2185: 2181: 2175: 2174: 2170: 2165:This section 2163: 2159: 2154: 2153: 2145: 2129: 2125: 2100: 2088: 2084: 2059: 2055: 2051: 2043: 2039: 2032: 2021: 2017: 2013: 2008: 2004: 1983: 1975: 1971: 1964: 1960: 1951: 1947: 1943: 1940: 1936: 1931: 1926: 1922: 1914: 1913: 1912: 1896: 1892: 1882: 1868: 1865: 1862: 1840: 1836: 1811: 1807: 1800: 1796: 1792: 1784: 1781: 1778: 1774: 1767: 1761: 1753: 1749: 1742: 1722: 1712: 1710: 1688: 1684: 1677: 1666:Asset pricing 1663: 1642: 1634: 1630: 1626: 1618: 1614: 1607: 1599: 1595: 1591: 1586: 1582: 1578: 1570: 1566: 1559: 1556: 1538: 1537: 1536: 1533: 1529: 1524: 1520: 1516: 1511: 1509: 1505: 1501: 1490: 1487: 1479: 1469: 1465: 1461: 1455: 1454: 1450: 1445:This section 1443: 1439: 1434: 1433: 1425: 1415: 1412: 1404: 1394: 1390: 1386: 1380: 1379: 1375: 1370:This section 1368: 1364: 1359: 1358: 1350: 1348: 1343: 1340: 1337: 1335: 1331: 1327: 1302: 1298: 1294: 1286: 1282: 1275: 1267: 1263: 1259: 1254: 1250: 1246: 1238: 1234: 1227: 1220: 1219: 1218: 1200: 1192: 1174: 1170: 1162: 1148: 1140: 1122: 1118: 1110: 1096: 1076: 1068: 1050: 1047: 1044: 1040: 1032: 1030: 1009: 1005: 1001: 993: 989: 982: 975: 973: 952: 948: 944: 936: 932: 925: 918: 895: 891: 884: 877: 859: 855: 849: 845: 837: 834: 831: 827: 823: 812: 808: 783: 779: 775: 770: 766: 745: 740: 736: 727: 723: 722: 697: 693: 685: 665: 661: 653: 627: 623: 616: 609: 608: 607: 584: 580: 576: 568: 564: 557: 549: 545: 541: 536: 532: 528: 520: 516: 509: 502: 501: 500: 481: 477: 470: 462: 441: 437: 433: 425: 421: 414: 411: 404: 400: 393: 389: 385: 377: 373: 366: 356: 355: 354: 351: 347: 343: 334: 333: 324: 321: 313: 303: 299: 295: 289: 288: 284: 279:This section 277: 273: 268: 267: 259: 257: 256:Fischer Black 253: 249: 245: 244:Merton Miller 241: 237: 233: 229: 225: 221: 217: 207: 205: 201: 197: 193: 189: 185: 181: 177: 172: 170: 167: 163: 159: 155: 151: 147: 139: 134: 124: 121: 113: 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: –  70: 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 19: 5300: 5241:Fixed income 5117:Global macro 5059:Event-driven 4928:Tender offer 4848:Public float 4818:Market trend 4808:Market depth 4628:Growth stock 4602:Buy and hold 4520: 4511:(Cap-to-GDP) 4351:Floor trader 4341:Market maker 4324:Floor broker 4312:Participants 4255:Golden share 4250:Common stock 4226:Third market 4160: 4149: 4141: 4127:. Retrieved 4120:the original 4102:(1): 65–86. 4099: 4095: 4085:Tobin, James 4047: 4043: 4031: 4020: 3996: 3993:Econometrica 3992: 3980: 3960: 3956: 3931:(1): 13–37. 3928: 3924: 3910: 3900: 3882: 3878: 3860:(1): 29–40. 3857: 3853: 3833: 3829: 3821: 3815:Bibliography 3804: 3800: 3790: 3776:(1): 23–34. 3773: 3769: 3763: 3728: 3724: 3718: 3691: 3687: 3681: 3662: 3658: 3648: 3605: 3601: 3595: 3570: 3566: 3560: 3535: 3532:Econometrica 3531: 3525: 3509: 3484:. Retrieved 3477:the original 3464: 3455: 3451: 3445: 3423:(2): 26–41. 3420: 3416: 3410: 3385: 3381: 3375: 3358: 3354: 3348: 3331: 3327: 3321: 3312: 3306: 3281: 3277: 3271: 3241:(1): 40–54. 3238: 3234: 3224: 3202:(1): 47–56. 3199: 3195: 3189: 3172: 3166: 3139: 3135: 3125: 3108: 3104: 3098: 3073: 3069: 3059: 3026: 3022: 3012: 2995: 2983: 2968: 2941: 2935: 2926:10419/167811 2906: 2902: 2892: 2883: 2877: 2858: 2852: 2833: 2810:(2): 60–72. 2807: 2803: 2797: 2781:(3): 25–46. 2778: 2774: 2749:. Retrieved 2736: 2725: 2653: 2610:Richard Roll 2504: 2467: 2451: 2443: 2406: 2397: 2382:Please help 2370: 2338: 2314: 2299: 2290: 2275:Please help 2263: 2232: 2224: 2217: 2202: 2193: 2178:Please help 2166: 2116: 1883: 1713: 1708: 1669: 1660: 1531: 1527: 1522: 1518: 1514: 1512: 1507: 1503: 1497: 1482: 1473: 1458:Please help 1446: 1422: 1407: 1398: 1383:Please help 1371: 1344: 1341: 1338: 1333: 1329: 1325: 1323: 1216: 1065:denotes the 1028: 971: 719: 605: 461:risk premium 458: 339: 316: 307: 292:Please help 280: 224:John Lintner 216:Jack Treynor 213: 173: 153: 149: 143: 116: 107: 97: 90: 83: 76: 64: 52:Please help 47:verification 44: 5468:Hedge funds 5231:Derivatives 5226:Commodities 5181:Day trading 5091:Directional 4990:Hedge funds 4933:Uptick rule 4913:Stock split 4893:Squeeze-out 4888:Speculation 4833:Open outcry 4722:Block trade 4654:Pairs trade 3989:Mossin, Jan 3963:(4): 5–16. 3694:(1): 3–56. 3388:(1): 4–23. 2859:Investments 2507:Eugene Fama 2464:Assumptions 2333:diversified 2329:market risk 2239:mutual fund 1328:equals the 726:sensitivity 180:market risk 5503:Categories 5423:Governance 4997:Investment 4938:Volatility 4918:Stock swap 4838:Order book 4589:strategies 4515:Book value 4383:Arbitrager 4378:Speculator 4163:: 105–113. 4129:2019-12-12 3486:2012-05-08 2718:References 2518:estimates. 2319:comprises 228:Jan Mossin 110:April 2021 80:newspapers 5357:Investors 5007:Arbitrage 4554:Fed model 4549:EV/EBITDA 4464:Dark pool 4395:Regulator 4240:Types of 4206:Types of 3733:CiteSeerX 3696:CiteSeerX 3610:CiteSeerX 3587:154918812 3402:154485834 3298:212976159 3255:0015-198X 3216:1930-2703 3158:1540-6261 3090:0378-4266 3043:0022-1082 2973:A. D. Roy 2909:(3): 15. 2400:June 2023 2371:does not 2317:portfolio 2293:June 2023 2264:does not 2196:June 2023 2167:does not 2052:− 1984:− 1793:− 1627:− 1596:β 1476:June 2023 1447:does not 1401:June 2023 1372:does not 1295:− 1264:β 1247:− 1171:σ 1119:σ 1041:ρ 1002:− 945:− 856:σ 846:σ 828:ρ 737:β 724:) is the 694:β 577:− 546:β 434:− 401:β 386:− 310:June 2023 281:does not 210:Inventors 169:portfolio 4999:strategy 4883:Slippage 4843:Position 4828:Momentum 4732:Dividend 4411:Exchange 4368:Investor 4087:(1958). 4074:36720630 4030:(2006). 3979:(2005). 3640:51947571 3495:cite web 3458:(X): XX. 3263:12706642 2659:See also 2501:Problems 2346:variance 1526:)−  222:(1964), 5219:Markets 5210:Related 5169:Trading 4772:Haircut 4576:T-model 4388:Scalper 4208:markets 4116:2296205 4013:1910098 3945:1924119 3755:2329112 3632:2676187 3552:1913811 3181:3969743 3051:2326275 2751:25 June 2698:(ICAPM) 2687:(CCAPM) 2560:(2001). 2392:removed 2377:sources 2285:removed 2270:sources 2188:removed 2173:sources 1468:removed 1453:sources 1393:removed 1378:sources 1189:is the 1137:is the 606:where: 302:removed 287:sources 262:Formula 146:finance 94:scholar 5291:Greeks 5236:Equity 4793:Margin 4661:(PMPT) 4523:(CAPM) 4373:Hedger 4346:Trader 4319:Broker 4242:stocks 4114:  4072:  4011:  3943:  3830:J. 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Capital Asset Pricing Model

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Dow Jones Industrial Average
finance
rate of return
asset
well-diversified
portfolio
systematic risk
market risk
beta
expected return
risk-free asset
normal distribution
arbitrage pricing theory
Merton's portfolio problem
Jack Treynor
William F. Sharpe
John Lintner

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