In a crisis, when faced with insolvency, banks can sell stock in a dilutive offering in thestock market and borrow money in order to raise funds. We propose a simple model to find themaximum amount of new funds the banks can raise in these ways. To do this, we incorporatemarket confidence of the...

Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are perfectly...

We introduce a stochastic volatility model with self-exciting jump intensity to capture the change in pricing dynamic triggered by big negative stock returns. The stochastic variance and jump intensity, and their risk premium are estimated jointly from daily stock returns and option data over...