W. F. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425--442, September 1964.  Home/Search   Document Not in Database   Summary   Related Articles   Check

..... 57 1 Introduction Financial theory has long recognized the interaction of risk and reward. The seminal work of Markowitz [Mar52] made explicit the trade o# of risk and reward in the context of a portfolio of financial assets. Others such as Sharpe [Sha64], Lintner [Lin65] and Ross [Ros76] have used equilibrium arguments to develop asset pricing models such as the capital asset pricing model (CAPM) and the arbitrage pricing theory (APT) relating the expected return of an asset to other risk factors. A common theme of these models is the ....

....a way consistent with Markowitz theory, then under additional assumptions, one will be able to learn something about the trade o# between risk and return in a market in equilibrium . This is what the CAPM does. The capital asset pricing model (CAPM) is an equilibrium pricing model (see Sharpe [Sha64] and Lintner [Lin65] which relates the expected return of an asset to the risk free return, to the market s expected return and to the covariance between the market and the asset. In addition to assuming that market participants use the mean variance framework, the model makes two additional ....

W.F. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19:425--442, 1964.

....systematic risk. This intuition concerning naive diversification is based simply on portfolio size and correspondingly draws on a version of the classical law of large numbers. It is therefore important to note that it differs from that of the capital asset pricing model (CAPM) of Sharpe [40] and Lintner [28] where the distinction between non diversifiable and diversifiable risks is based on mean variance efficiency, and thereby on the efficient diversification of a portfolio. However, despite several attempts, 2 the intuitive notion of a well diversified portfolio has resisted a ....

....1See [33, pp. 173 197] for a discussion of naive and efficient diversification. We note here that there is no uniform terminology in the literature. For example, the terms non diversifiable risk and diversifiable risk used here for the CAPM are also called systematic risk and unsystematic risk in [40]. On the other hand, systematic risk and unsystematic risk used here for the APT model are also referred to as non diversifiable and diversifiable risk in, for example, 38, pp. 116 120] and [37] 2See [27] we comment further on these attempts in the sequel. 3After presenting the intuitive ....

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W. Sharpe, Capital asset prices: a theory of market equilibrium under conditions of risk, J. Finance 33 (1964), 885-901.

.... sstandardpracticeofthecomputationofunidirectionallyprojectedempirical betas, i.e. theirrelativereturnvolatilities,withrespecttoaparticularmarket index,ortheirrelativeattributionsoftheir systematic variation,whichwere proposedbythe1990(joint)NobelPrizewinnerWilliamSharpe[71]. Again,thisseeminglyinnocentpracticeisnotwithoutseriousconsequences. Thereiscurrentlyanalarming,andmisdirected,regulatoryinterestinasinglerisk measuretoclassifymutualfunds[32] Sharpe sbetahasbeenproposedbymany analystsassuchameasure.Thisocialinterestinasingleriskmeasureisjustas ....

....fundsbytheirfundsbytheirrisk returnpro. le.Theriskismeasuredbytherelative rateofreturnvolatility,i.e. asmeasuredrelativetothatofabenchmarkmarket index,andthereturnbysomeaveragereturnoveraappropriateperiod[15] This relativeriskmeasureiscalledSharpe s beta [70] [71] .Whenafund sbeta, isbelowunity,thefundiscategorizedas defensive, becausethevolatilityofits investmentreturnsislowerthanthatofthemarketasawhole.Withagreater thanunity,afundiscategorizedas aggressive. Finally,withaequaltounity, ....

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W. F. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. The Journal of Finance, 19:425 -- 442, 1964.

....based on integer programming, which is bettered by the implicit enumeration algorithm of Blog et al. 6] Cooper and Farhangian [11] develop a dynamic programming approach for an extension of this problem that incorporates fixed costs of transaction. Assuming that the capital asset pricing model [21, 24, 29] holds, Brennan [8] presents an algorithm for determining the optimal number of securities under fixed transaction costs. However, the validity of that assumption in the presence of fixed transaction costs has been questioned [25] Patel and Subrahmanyam [25] develop an efficient algorithm for ....

W.F. Sharpe, Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk, Journal of Finance, 19 (1964), pp 425--442.

....of data quality is an emerging topic, where approaches from other research fields (as we did in this paper) are investigated [12] 6] to provide better information for data consumers. In the context of investments there are some other models that require fewer input parameters (e.g. Index Model [8]: n securities 3n 2 parameters) but they are not directly applicable to data warehouse environments. Furthermore they require additional information, which can be provided by finance markets but not by data warehouses (at this point in time, because of the lack of appropriate methods) ....

Sharpe, William F.: Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. The Journal of Finance, Vol. 19(3), September 1964, 425-442

....to accept, the optimal portfolio can be obtained by solving a convex quadratic programming problem. This mean variance model has had a profound impact on the economic modeling of nancial markets and the pricing of assets the Capital Asset Pricing Model (CAPM) developed primarily by Sharpe [26], Lintner [17] and Mossin [23] was an immediate logical consequence of the Markowitz mean variance portfolio theory. In 1990, Sharpe and Markowitz shared the Nobel Memorial Prize in Economic Sciences for their work on portfolio allocation and asset pricing. In spite of the theoretical success of ....

....factor model and uncertainty sets for the mean return vector, the factor loading matrix, and the covariance 3 matrix of the residual return. We also formulate robust counterparts of the mean variance optimal portfolio selection problem [19] the maximum Sharpe ratio portfolio selection problem [26] and the value at risk (VaR) portfolio selection problem. The uncertainty sets introduced in this section are ellipsoidal (intervals in the one dimensional case) and may appear quite arbitrary. Before demonstrating that these sets are, indeed, natural, we rst establish in Section 3 that the ....

W. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425-442, 1964.

....it components. NPV (A B) NPV (A) NPV (B) 23 0.18 Risky cash ows returns Reading; C W 1 3,6 7 We haven t yet said where discount rates come from so this section tells us. It results from work on Portfolio Theory by Markowitz (1959) 31] and the Capital Asset Pricing Model (CAPM) of Sharpe [50], Lintner [28] 1963) et al. 0.19 Market returns risk (Log) Market returns are risky, normally distributed with mean variance statistics return r 1 = P 1 D 1 P 0 P 0 = P 1 D 1 P 0 1 = capital gain dividend yield log return lr 1 = log e P 1 D 1 P 0 = ln (1 r 1 ) ....

W. F. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425-442, 1964.

....mentioned it in Assumption 4.2 but have placed no discussion on it so far. A related issue is found in the option pricing theory which allows the underlying stock to have jumps in its price process [16] 18] 39] 40] 11 . They resorted to the conventional CAPM (Capital Asset Pricing Model) [42] by assuming that jump processes describe nonsystematic or idiosyncratic risks, which implies that risks such as firms defaults have a too wide variety of backgrounds with no good reason to be pre distributed to appear in a global risk premium. This is an extreme assumption and there are a lot of ....

William F. Sharpe. "Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk". The Journal of Finance, Vol. 19, No. 3, pp. 425--442, September 1964.

....a risk premium, on average, of 3.60 percent per year. Our results suggest that the momentum effect is related to systematic skewness. The low expected return momentum portfolios have higher skewness than high expected return portfolios. THE SINGLE FACTOR CAPITAL ASSET PRICING MODEL CAPM of Sharpe 1964 and Lintner 1965 has come under recent scrutiny. Tests indicate that the crossasset variation in expected returns cannot be explained by the market beta alone. For example, a growing number of studies show that fundamental variables such as size, book to market value, and price to earnings ....

Sharpe, William, 1964, Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance 19, 425--442.

....fund s alpha. Henceforth we use returns to denote rates of return in excess of a riskless interest rate or payos on zero investment spread positions. The choice of benchmarks is often guided by a pricing model, as in Jensen s (1969) pioneering use of the Capital Asset Pricing Model (CAPM) of Sharpe (1964) and Lintner (1965) to investigate mutual fund alphas relative to a single market index benchmark. Other studies, beginning with Lehmann and Modest (1987) examine fund alphas with respect to a set of multiple benchmarks viewed as the relevant factors for pricing in a multifactor model, such as ....

Sharpe, William F., 1964, Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance 19, 425-442.

....NSW, 2007, Australia 1 Introduction to Benchmark Pricing Various alternative methodologies for the modelling of asset prices and #nancial markets have been proposed in the literature. The Capital Asset Pricing Model #CAPM#, which is a mean variance one period equilibrium model of exchange, see Sharpe #1964#, Lintner #1965# and Mossin #1966#, has been designed to model asset price dynamics. This model has been crucial for the understanding of the relationship between mean and variance of returns in equilibrium. Merton #1973# developed an intertemporal CAPM from portfolio selection behaviour of ....

Sharpe, W. F. #1964#. Capital asset prices: A theory of market equilibrium under conditions of risk. J. Finance 19, 425#442.

.... all questions in an area even the pathbreaking contributions to capital structure theory made by Modigliani and Miller (1958, 1963, 1966) to portfolio theory made by Markowitz (1952, 1959) to the efficient market literature made by Harry Roberts (1959) and to asset pricing theory made by Sharpe (1964), Lintner (1965) and Mossin (1966) It is interesting that we spend so little time as scientists thinking about the research process as a whole, and this is reflected in the fact that we do not have very good models of the process. As a journal editor, I ve become more impressed over time with ....

Sharpe, William F. "Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk", Journal of Finance, Vol. XIX (September, 1964), pp. 425-42.

....unconditional beliefs regarding assets and that they can change on the introduction of 1 Markowitz, H. Portfolio selection, Journal of Finance, Vol. 7(1) March 1952. 2 Tobin, J. Liquidity preference as behaviour towards risk, Review of Economic studies, No.61, February 1958, p.65 86. 3 Sharpe, W.E. Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance, Vol. 19(3) September 1964. 4 Merton, R.C. An Intertemporal Capital Asset Pricing Equation, Econometrica, 1973, 41, 867 887. 5 Ross, S, The arbitrage theory of capital pricing, Journal of ....

Sharpe, W.E., Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance, Vol. 19(3), September 1964, p.425 -- 442.

....premium is charged to satisfy risk management and return on risk capital requirements. The profit and loss distributions are priced based on a combination of Value at Risk and return on capital approach. Its existing counterpart is the equilibrium capital asset pricing model (CAPM) developed by Sharpe (1964), Lintner (1965) and Mossin (1966) In the derivatives markets, there are at least two stylized facts that puzzle the profession. One is that implied volatility is on average larger than realized volatility; the other is that implied volatility curves exhibit smile or smirk effects for ....

Sharpe, W., (1964), "Capital Asset Prices, A Theory of Market Equilibrium", Journal of Finance, September.

....that investors evaluate securities. For example, there are no rewards or penalties per se associated with corporate diversification. Of course, diversification could affect value by affecting expected bankruptcy costs and thus net cash flows. 2. 3 Capital Asset Pricing Theory Treynor (1961) Sharpe (1964), and Lintner (1965) apply the normative analysis of Markowitz to create a positive theory of the determination of asset prices. Given investor demands for securities implied by the Markowitz mean variance portfolio selection model and assuming fixed supplies of assets, they solve for equilibrium ....

Sharpe, William (1964): "Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk," Journal of Finance, vol. 19, pp. 425-442.

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W. F. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425--442, September 1964.

No context found.

Sharpe, W. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425--442.

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W. Sharpe. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3):425--442, 1964.

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W. Sharpe, "Capital asset prices: A theory of market equilibrium under conditions of risk," J. Finance, vol. 19, pp. 452--442, 1964.

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W. Sharpe. Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk. Journal of Finance, 19(3):425--442, 1964.

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W. Sharpe, Capital asset prices: a theory of market equilibrium under conditions of risk, J. Finance 19 (1964) 425--442.

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Sharpe, William F. (1964), `Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk,' Journal of Finance Vol. 19, pp. 425-442.

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William Sharpe. Capital asset prices: A theory of market equilibrium. Journal of Finance, September 1964.

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Sharpe, W. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. J.

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Sharpe, William F., 1964, Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance 19, 425-42.

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