This paper considers Merton's (1973) model for partial equilibrium bond option pricing when stochastic bond price processes are involved. A log-normal process with a stochastic drift is suggested that allows the price of a pure discount bond to converge to its face value upon maturity. The...

The parametric estimation of stochastic differential equations (SDEs) has been the subject of intense studies already for several decades. The Heston model, for instance, is based on two coupled SDEs and is often used in financial mathematics for the dynamics of asset prices and their...

Derivatives pricing changed drastically in 2007-2008, following the financial crisis. The failureof the Lehman Brothers refuted the myth that ”AAA” rated financial institutions cannotdefault. Basel III was introduced and implemented to reinforce existing financial market regulationsand...

Equity index risk premia vary more than can be explained by market risks and pricing models. I show that index option intermediaries cause variation in risk premia to manage their option positions. When expected volatility is low, intermediaries hold risky short positions. Increasing risk and...

We seek to estimate a portfolio of option prices in an entirely data driven way, at any future time, for trading and risk management purposes in a model independent way. We do not know the model driving the dynamics of the actual stock prices, but only observe discretely their evolution in the...

We propose a new method for computing a lower bound to the expected future dividend component of the market risk premium from observed option prices. We find that our estimate of future dividend yields has similar characteristics to future realized dividend yields, exhibits significant...

Since the launch of 50 ETF index option in February 2015, its trading volume keeps increasing year by year. This reflects the strong potential of the Chinese option market. As there were few English research on the 50 ETF option, I was very interested in applying the Black-Scholes (BS) and...