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Original Articles

Pricing stock and bond derivatives with a multi-factor Gaussian model

Pages 207-225 | Published online: 14 Oct 2010

References

  • Amin , K. and Jarrow , R. 1992 . Pricing options on risky assets in a stochastic interest rate economy . Mathematical Finance , 2 : 217 – 237 .
  • Arnold , L. and Ludwig . 1974 . Stochastic Differential Equations , John Wiley & Sons .
  • Black , F. and Scholes , M. 1973 . The pricing of options of corporate liabilities . Journal of Political Economy , 81 : 637 – 654 .
  • Black , F. 1976 . The pricing of commodity contracts . Journal of Financial Economics , 3 : 167 – 179 .
  • Brennan , M. and Schwartz , E. 1979 . A continuous time approach to the pricing of bonds . Journal of Banking and Finance , 3 : 167 – 179 .
  • Brennan , M. and Schwartz , E. 1982 . An equilibirum model of bond pricing and a test of market efficiency . Journal of Financial Quantitative Analysis , 17 : 301 – 329 .
  • Chen , R. R. 1992 . Exact solutions for futures and European futures options on pure discount bonds . Journal of Financial and Quantitative Analysis , 27 : 97 – 107 .
  • Chen , R. R. 1995 . Two factor perference free model for interest rate sensitive claims . Journal of Futures Markets , 15 : 345 – 370 .
  • Chen , R. R. and Scott , L. 1992 . Pricing interest rate options in a two factor Cox-Ingersoll-Ross model of the term structure . The Review of Financial Studies , 5 : 613 – 636 .
  • Courtadon , G. 1982 . The pricing of options on default, free bonds . Journal of Financial and Competitive Analysis , 17 : 75 – 100 .
  • Cox , J. , Ingersoll , J. and Ross , S. 1981 . The relation between forward and futures prices . Journal of Financial Economics , 9 : 321 – 346 .
  • Cox , J. , Ingersoll , J. and Ross , S. 1985a . An intertemporal general equilibirum model of asset prices . Econometrica , 53 : 363 – 384 .
  • Cox , J. , Ingersoll , J. and Ross , S. 1985b . A theory of the term structure of interest rates . Econometrica , 53 : 385 – 408 .
  • Duffie , D. 1988 . Security Markets: Stochastic Models , Academic Press .
  • El Karoui , K. , Geman , H. and Lacoste , V. 1996 . On the role of state variables in interest rate models ESSEC working paper
  • Gantmacher , F. R. 1966 . Théorie des Matrices , Vol. 1 , DUNOD .
  • Harrison , J. M. and Kreps , D. M. 1979 . Martingales and arbitrage in multiperiod securities markets . Journal of Economic Theory , 20 : 381 – 408 .
  • Harrison , J. M. and Pliska , S. 1981 . Martingales and stochastic integrals in the theory of continuous trading . Stochastic Processes and their Applications , 20 : 215 – 260 .
  • Heath , D. , Jarrow , R. and Morton , A. 1992 . Bond pricing and the trerm structure of interest rates: a new methodology for contingent claims valuation . Econometrica , 60 : 77 – 105 .
  • Hull , J. and White , A. 1990 . Pricing interest rate derivative securities . The Review of Financial Studies , 3 : 573 – 592 .
  • Jamshidian , F. 1989 . The multifactor gaussian interest rate model and implementation New York Working paper Merryl Lynch capital markets
  • Jamshidian , F. 1989b . An exact bond pricing formula . The Journal of Finance , XLIV : 205 – 209 .
  • Jamshidian , F. 1991 . Bond and option evaluation in the Gaussian interest rate model . Research in Finance , 9 : 131 – 170 .
  • Jamshidian , F. 1993 . Option and future evaluation with deterministic volatilities . Mathematical Finance , 3 : 149 – 159 .
  • Langetieg , T. C. 1980 . A multivariate model of the term structure . The Journal of Finance , XXXV : 71 – 97 .
  • Longstaff , F. and Schwanz , E. 1992 . Interest rate volatility and the term structure: a two-factor general equilibrium model . Journal of Finance , XLVII : 1259 – 1282 .
  • Merton , R. C. 1973 . The theory of rational option pricing . Bell Journal of Economics and Management Science , 4 : 141 – 183 .
  • Rabinovitch , R. 1989 . Price stock and bond options when the default-free rate is stochastic . Journal of Financial and Quantitative Analysis , 24 : 447 – 456 .
  • Vasicek , O. 1977 . An equilibirum characterization of the term structure . Journal of Financial Economics , 5 : 177 – 188 .

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