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The Term Structure of Interest Rates as a Random Field
16 references·16 citing·36 second hopsampled
The Term Structure of Interest Rates as a Random Field (2000)The Term Structure of Interest Rates as a…Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model (1994)Exploiting the Conditional De…A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)A Closed-Form Solution for Op…Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model (1992)Interest Rate Volatility and …Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Bond Pricing and the Term Str…A Theory of the Nominal Term Structure of Interest Rates (1992)A Theory of the Nominal Term …Bond and Option Pricing when Short Rates are Lognormal (1991)Bond and Option Pricing when …A One-Factor Model of Interest Rates and Its Application to Treasury Bond Options (1990)A One-Factor Model of Interes…Term Structure Movements and Pricing Interest Rate Contingent Claims (1986)Term Structure Movements and …A Theory of the Term Structure of Interest Rates (1985)A Theory of the Term Structur…The relation between forward prices and futures prices (1981)The relation between forward …A continuous time approach to the pricing of bonds (1979)A continuous time approach to…Asset Prices in an Exchange Economy (1978)Asset Prices in an Exchange E…An equilibrium characterization of the term structure (1977)An equilibrium characterizati…The arbitrage theory of capital asset pricing (1976)The arbitrage theory of capit…The Pricing of Options and Corporate Liabilities (1973)The Pricing of Options and Co…An Analytic Derivation of the Efficient Portfolio Frontier (1972)An Analytic Derivation of the…Modelling Electricity Futures by Ambit Fields (2014)Modelling Electricity Futures…Quadratic Variance Swap Models (2013)Quadratic Variance Swap ModelsStochastic Volatilities and Correlations of Bond Yields (2007)Stochastic Volatilities and C…Interest Rate Caps “Smile” Too! But Can the LIBOR Market Models Capture the Smile? (2007)Interest Rate Caps “Smile” To…Optimal portfolio choice in the bond market (2006)Optimal portfolio choice in t…A Bidimensional Approach to Mortality Risk (2006)A Bidimensional Approach to M…Unspanned stochastic volatility and fixed income derivatives pricing (2005)Unspanned stochastic volatili…MODELING TERM STRUCTURE DYNAMICS: AN INFINITE DIMENSIONAL APPROACH (2005)MODELING TERM STRUCTURE DYNAM…Interest Rate Caps Smile Too! But Can the LIBOR Market Models Capture It? (2004)Interest Rate Caps Smile Too!…Modeling the term structure of interest rates: A new approach (2003)Modeling the term structure o…Generalizing the Affine Framework to HJM and Random Field Models (2003)Generalizing the Affine Frame…Pricing Swaptions Within an Affine Framework (2002)Pricing Swaptions Within an A…Throwing away a billion dollars: the cost of suboptimal exercise strategies in the swaptions market (2001)Throwing away a billion dolla…Stochastic Correlation and the Relative Pricing of Caps and Swaptions in a Generalized-Affine Framework (2001)Stochastic Correlation and th…The Dynamics of the Forward Interest Rate Curve with Stochastic String Shocks (2000)The Dynamics of the Forward I…Throwing Away a Billion Dollars: The Cost of Suboptimal Exercise Strategies in the Swaption Market (1999)Throwing Away a Billion Dolla…Theory of Rational Option Pricing (1973)Arbitrage Theory in Continuous Time (1998)Theory of rational option pricing (2005)CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets (1965)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)Financial Intermediation and Delegated Monitoring (1984)The Cross-Section of Expected Stock Returns (1992)Common risk factors in the returns on stocks and bonds (1993)Portfolio Selection: Efficient Diversification of Investments (1959)A Note on Uncertainty and Indifference Curves (1969)A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory (1977)Theory of Financial Decision Making. (1988)An Intertemporal Capital Asset Pricing Model (1973)ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES* (1974)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)The Cost of Capital, Corporation Finance and the Theory of Investment (1958)Theory of the firm: Managerial behavior, agency costs and ownership structure (1976)Rational Expectations and the Theory of Price Movements (1961)Aspects of the Theory of Risk-Bearing. (1966)EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)The equity premium: A puzzle (1985)Economic Forces and the Stock Market (1986)Efficient Capital Markets: II (1991)Martingales and stochastic integrals in the theory of continuous trading (1981)Stochastic Differential Equations and Diffusion Processes (1983)A YIELD‐FACTOR MODEL OF INTEREST RATES (1996)Modeling Term Structures of Defaultable Bonds (1999)Optimum consumption and portfolio rules in a continuous-time model (1971)Dynamic Asset Pricing Theory. (1993)Numerical Procedures for Implementing Term Structure Models I: Single-Factor Models (1994)A Nonparametric Model of Term Structure Dynamics and the Market Price of Interest Rate Risk (1997)Arbitrage Theory in Continuous Time (2004)Empirical Performance of Alternative Option Pricing Models (1997)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The Cross‐Section of Volatility and Expected Returns (2006)
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References

  • 1973The Pricing of Options and Corporate Liabilities29,064 cited
  • 1993A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options8,768 cited
  • 1985A Theory of the Term Structure of Interest Rates8,333 cited
  • 1976The arbitrage theory of capital asset pricing7,081 cited
  • 1977An equilibrium characterization of the term structure6,104 cited
  • 1978Asset Prices in an Exchange Economy5,057 cited
  • 1992Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation3,170 cited
  • 1986Term Structure Movements and Pricing Interest Rate Contingent Claims1,398 cited
  • 1972An Analytic Derivation of the Efficient Portfolio Frontier1,039 cited
  • 1990A One-Factor Model of Interest Rates and Its Application to Treasury Bond Options981 cited
  • 1992Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model977 cited
  • 1979A continuous time approach to the pricing of bonds796 cited
  • 1981The relation between forward prices and futures prices740 cited
  • 1991Bond and Option Pricing when Short Rates are Lognormal667 cited
  • 1994Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model

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394 cited
  • 1992A Theory of the Nominal Term Structure of Interest Rates387 cited
  • Cited by

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    • 2002Pricing Swaptions Within an Affine Framework75 cited
    • 2006Optimal portfolio choice in the bond market51 cited
    • 2005Unspanned stochastic volatility and fixed income derivatives pricing48 cited
    • 1999Throwing Away a Billion Dollars: The Cost of Suboptimal Exercise Strategies in the Swaption Market47 cited
    • 2000The Dynamics of the Forward Interest Rate Curve with Stochastic String Shocks47 cited
    • 2014Modelling Electricity Futures by Ambit Fields41 cited
    • 2006A Bidimensional Approach to Mortality Risk40 cited
    • 2004Interest Rate Caps Smile Too! But Can the LIBOR Market Models Capture It?40 cited
    • 2003Generalizing the Affine Framework to HJM and Random Field Models35 cited
    • 2001Stochastic Correlation and the Relative Pricing of Caps and Swaptions in a Generalized-Affine Framework34 cited
    • 2003Modeling the term structure of interest rates: A new approach31 cited