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Extending Black-Litterman Analysis Beyond the Mean-Variance Framework
16 references·3 citing·36 second hop
Extending Black-Litterman Analysis Beyond the Mean-Variance Framework (2007)Extending Black-Litterman Analysis Beyond…Risks and Portfolio Decisions Involving Hedge Funds (2003)Risks and Portfolio Decisions…Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps (2003)Risk Reduction in Large Portf…Improved estimation of the covariance matrix of stock returns with an application to portfolio selection (2003)Improved estimation of the co…Investing for the Long Run when Returns Are Predictable (2000)Investing for the Long Run wh…Predictable Risk and Returns in Emerging Markets (1994)Predictable Risk and Returns …The Risk and Predictability of International Equity Returns (1993)The Risk and Predictability o…Global Portfolio Optimization (1992)Global Portfolio OptimizationBusiness conditions and expected returns on stocks and bonds (1989)Business conditions and expec…Stock Prices, Earnings, and Expected Dividends (1988)Stock Prices, Earnings, and E…Predicting returns in the stock and bond markets (1986)Predicting returns in the sto…Stock Returns and the Term Structure (1985)Stock Returns and the Term St…THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS**This paper is another in a series of interrelated theoretical and statistical studies of corporate financial and investment policies being made under grants from the Rockefeller Foundation, and more recently the Ford Foundation, to the Harvard Business School. The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.] (1975)THE VALUATION OF RISK ASSETS …The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets (1965)The Valuation of Risk Assets …CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)CAPITAL ASSET PRICES: A THEOR…The financial analysts journal (1960)The financial analysts journalPortfolio Selection (1952)Portfolio SelectionThe dynamic Black–Litterman approach to asset allocation (2016)The dynamic Black–Litterman a…Diversification with volatility products (2016)Diversification with volatili…The Black-Litterman Model Explained (2009)The Black-Litterman Model Exp…Time Series Analysis: Forecasting and Control (1977)Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root (1981)An analysis of intertemporal and cross-sectional determinants of earnings response coefficients (1989)The Variation of Economic Risk Premiums (1991)Expected Stock Returns and Variance Risk Premia (2009)The Cost of Capital, Corporation Finance and the Theory of Investment (1958)Dividend Policy, Growth, and the Valuation of Shares (1961)On Persistence in Mutual Fund Performance (1997)The cost of capital, corporation finance and the theory of investment (2008)An Intertemporal Capital Asset Pricing Model (1973)A Theory of the Term Structure of Interest Rates (1985)The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors (1986)Expected stock returns and volatility (1987)Consumption, Aggregate Wealth, and Expected Stock Returns (2001)Investor Psychology and Asset Pricing (2001)The arbitrage theory of capital asset pricing (1976)The relationship between return and market value of common stocks (1981)Illiquidity and stock returns: cross-section and time-series effects (2002)Risk, Return, and Equilibrium: Empirical Tests (1973)Industry costs of equity (1997)Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH (2001)International Stock Return Comovements (2005)High dimensional covariance matrix estimation using a factor model (2008)Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends? (1980)Does the Stock Market Overreact? (1985)The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors (1988)The Efficient Market Hypothesis and Its Critics (2003)The Pricing of Options and Corporate Liabilities (1973)Theory of the firm: Managerial behavior, agency costs and ownership structure (1976)Common risk factors in the returns on stocks and bonds (1993)Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach (2003)Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach (2006)An intertemporal asset pricing model with stochastic consumption and investment opportunities (1979)Conditional value-at-risk for general loss distributions (2002)The Capital Asset Pricing Model: Theory and Evidence (2004)The Cross-Section of Expected Stock Returns (1992)
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References

  • 1964CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK*19,431 cited
  • 1965The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets7,600 cited
  • 1975THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS**This paper is another in a series of interrelated theoretical and statistical studies of corporate financial and investment policies being made under grants from the Rockefeller Foundation, and more recently the Ford Foundation, to the Harvard Business School. The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.]6,743 cited
  • 1952Portfolio Selection4,609 cited
  • 1989Business conditions and expected returns on stocks and bonds3,934 cited
  • 1988Stock Prices, Earnings, and Expected Dividends2,457 cited
  • 1985Stock Returns and the Term Structure2,260 cited
  • 1992Global Portfolio Optimization1,846 cited
  • 1986Predicting returns in the stock and bond markets1,715 cited

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  • 2003Improved estimation of the covariance matrix of stock returns with an application to portfolio selection1,634 cited
  • 2003Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps1,471 cited
  • 2000Investing for the Long Run when Returns Are Predictable1,372 cited
  • 2003Risks and Portfolio Decisions Involving Hedge Funds1,213 cited
  • 1993The Risk and Predictability of International Equity Returns1,065 cited
  • 1960The financial analysts journal1,043 cited
  • 1994Predictable Risk and Returns in Emerging Markets1,042 cited
  • Cited by

    • 2009The Black-Litterman Model Explained43 cited
    • 2016The dynamic Black–Litterman approach to asset allocation40 cited
    • 2016Diversification with volatility products28 cited