Risk premia are related to price probability ratios or for continuous time pure jump processes the ratios of jump arrival rates under the pricing and physical measures. The variance gamma model is employed to synthesize densities with risk premia seen as the ratio of the three parameters. The...

We analyze returns to lumpy projects with multiple investors. Since each investor's commitment increases the likelihood of project completion it exerts a positive externality on other investors. We show that due to this externality either a rise in the cost of abandoning the project or decreased...

This technical note provides a detailed description of a simple but effective modeling solution to mark and risk manage plain-vanilla options on dividend futures. We focus on equity indices, as dividend products for single stocks are less liquid and observable and we derive a simple pricing...

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...

This paper presents a simple framework for the analysis, valuation and simulation of several real options in the presence of shadow costs of incomplete information. Information costs can be viewed as sunk costs in the spirit of Merton's (1987) model of capital market equilibrium with incomplete...

We develop a real options model in which a firm exposed to seasonal variations in its output price is able to produce output, store it, and sell it later, separating the production and selling decisions. The model suggests that the optimal policy for a firm with low inventory costs is to spread...

The aims of this paper are twofold. Firstly, we present an approximating formula for pricing basket and multi-asset spread options, which genuinely extends Caldana and Fusai (2013) two-asset spread options formula. Secondly, under the lognormal setting, we show that our formula becomes a Black...

By exploiting the flexibility of the Wishart process, we propose an application of this framework to the pricing of Chicago Board Options Exchange (CBOE) volatility index (VIX) options. Our methodology is analytically tractable and yet flexible enough to efficiently price CBOE VIX options. In...

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...

The historical returns on equity index options are well known to be strikingly negative. That is typically explained either by investors having convex marginal utility over stock returns (e.g. crash/variance aversion) or by intermediaries demanding a premium for hedging risk. This paper examines...