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CALIBRATION OF MULTIFACTOR HESTON MODELS TO CREDIT SPREADS

摘要


This paper develops a modified closed-form formula for option prices under the multifactor stochastic volatility model by means of the Fourier transform method. We apply this result to evaluate credit spreads in the context of the structural-form modeling. Through numerical simulation, we observe that some model parameters are sensitive to the deformation of credit yields. This capability to generate various shapes of the credit spread term structure initiates a further study of model calibration to corporate bond yields. With different investment grades, empirical results reveal that the two-factor Heston model is indeed superior to other models including the Black-Scholes model and the one-factor Heston model.

參考文獻


Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81, 637-659
Christoffersen, P., Heston, S., & Jacobs, K. (2009). The shape and term structure of the index option smirk: Why multifactor stochastic volatility models work so well. Management Science, 55, 1914-1932.
Crisostomo, R. (2014). An analysis of the Heston stochastic volatility model: Implementation and calibration using Matlab. Retrieved from https://arxiv.org/pdf/1502.02963
Engle, R. (2009). Anticipating correlations: A new paradigm for risk management. Princeton, NJ: Princeton University Press.
Fouque, J.-P., Papanicolau, G., Sircar, R., & Solna, K. (2011). Multiscale stochastic volatility for equity, interest rate, and credit derivatives. Princeton, NJ: Cambridge University Press.

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