R&D is often a highly uncertain venture where experiments achieve successful outcomes on an extraordinarily rare basis. Just one successful product could change the future of a company; the discovery stage can often be an invaluable or disastrous experience. We develop a real R&D option model...

In this paper, we investigate the behavior of the bitcoin (BTC) price through the vanilla options available on the market. We calibrate a series of Markov models on the option surface. In particular, we consider the Black-Scholes model, Laplace model, five Variance Gamma related models and the...

We propose a parsimonious general equilibrium extension of the Black-Scholes economy that helps clarify how options' prices, expected returns, risk exposure, and optimal exercise policies respond to variations in the risk exposure of the underlying asset. The model allows one to separate the...