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2008 | 8 | 147--154
Tytuł artykułu

Bayesian Forecasting of the Discounted Payoff of Options on WIG20 Index under Stochastic Volatility and Stochastic Interest Rates

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of the paper is to check whether allowing interest rates to be stochastic improves forecasting performance of the discounted payoff of options on the WIG20 index. We compare the results obtained in the option pricing model under stochastic volatility and stochastic interest rate (allowing the interest rate to follow an SV process) with those in constant interest rate model (an univariate SV model for the underlying asset). The structure of the article is as follows: section 2 consists of a short presentation of the Bayesian univariate SV model with correlated errors, section 3 includes a brief presentation of the Bayesian bivariate SV model, section 4 focuses on the Bayesian forecasting of the discounted payoff of a European call option, section 5 presents the posterior results connected with options on the WIG20 index, and finally, section 6 incorporates the conclusions. (fragment of text)
Rocznik
Tom
8
Strony
147--154
Opis fizyczny
Twórcy
autor
  • Cracow University of Economics, Poland
Bibliografia
  • Amin, K. I., Ng, V. K. (1993), Option Valuation with Systematic Stochastic Volatility, The Journal of Finance, 48, 3, 881-910.
  • Bauwens, L., Lubrano, M. (1998), Bayesian Inference on GARCH Models Using the Gibbs Sampler, Econometrics Journal, 1, C23-C46.
  • Black, F., Scholes, M. (1973), The Pricing of Options and Corporate Liabilities, Journal of Political Economy, 81, 637-654.
  • Clark, P. K. (1973), A Subordinated Stochastic Process Model with Fixed Variance for Speculative Prices, Econometrics, 41, 135-156.
  • Heston, S. L. (1993), A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, The Review of Financial Studies 6, 2, 327-343.
  • Hobson, D. (2004), A Survey of Mathematical Finance, (Adams Prize Essay). Proceedings of the Royal Society: Mathematical, Physical and Engineering Sciences.
  • 460:2052, 3369-3401, 2004. Published electronically at FirstCite October 2004.
  • Hull, J., White, A. (1987), The Pricing of Options on Assets with Stochastic Volatilities, Journal of Finance 42, 281-300.
  • Jacquier, E., Polson, N., Rossi, P. (2004), Bayesian Analysis of Stochastic Volatility Models with Fat-Tails and Correlated Errors, Journal of Econometrics, 122, 185-212.
  • Jiang, G. J., Van Der Sluis, P. J. (1999), Index Option Pricing Models with Stochastic Volatility and Stochastic Interest Rates, European Finance Review, 3, 273-310.
  • Jiang, G. J. (1998), Nonparametric Modeling of U.S. Interest Rate Term Structure Dynamics and Implications on the Prices of Derivative Securities, Journal of Financial and Quantitative Analysis, 33, 465-498.
  • Kostrzewski, M., Pajor, A. (2007), Bayesowska wycena opcji na index WIG20: procesy Itô a dyskretne procesy SV, Folia Oeconomica Cracoviensia, 46-47, 65-85.
  • Merton, R. (1973), Theory of Rational Option Pricing, Bell Journal of Economics and Management Science, 4, 141-183.
  • Osiewalski, J., Pipień, M. (2003), Bayesian Analysis and Option Pricing in Univariate GARCH Models with Asymmetries and GARCH-in-Mean Effects, Przegląd Statystyczny, 50, 3, 5-29.
  • Osiewalski, J., Pipień, M. (2004), Bayesian Comparison of Bivariate ARCH-type Models for the Main Exchange Rates in Poland, Journal of Econometrics, 123, 371-391.
  • Pajor, A. (2005), Bayesian Analysis of Stochastic Volatility Model and Portfolio Allocation, [in:] Issues in Modelling, Forecasting and Decision-Making in Financial Markets, Acta Universitatis Lodzensis - Folia Oeconomica 192, 229-249.
  • Tsay, R. S. (2002), Analysis of Financial Time Series. Financial Econometrics, A Wiley-Interscience Publication, John Wiley & Sons, INC.
  • Turnbull, A. M., Milne, F. (1991), A Simple Approach to Interest-Rate Option Pricing, The Review of Financial Studies (1986-1998) 4, 87-120.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.ekon-element-000171280679

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