Abstract
Recent literature has highlighted joint movements between the credit default swap (CDS for short) spread and its corresponding option price. Some dynamically consistent frameworks have been proposed for the joint evaluation and estimation of stock options and their CDS spreads in order to integrate both market information. This paper extends previous studies and provides a new methodology for joint evaluation of stock option prices, CDS spreads and bond prices based on three separate calibration methods. They include (1) a two-step Monte Carlo procedure for calibration to the term structure of implied volatilities, (2) an approximated default intensity rate for the credit risk calibration, and (3) a closed-form of zero coupon bond price for the interest rate risk calibration. Various innovative combinations of these three calibration methods are proposed to allow a genuine robust and efficient estimation for the joint dynamics of multiple risk factors. Our investigation discloses the importance of cross-market information to fit the implied volatility surfaces by means of a joint dynamic model which includes market risk, credit risk and the interest risk.