We consider optimal consumption and portfolio investment problems of an investor who is interested in maximizing his utilities from consumption and terminal wealth subject to a random inflation in the consumption basket price over time. We consider two cases: (i) when the investor observes the...

We consider the problem of dynamically hedging a fixed portfolio of assets in the presence of non-linear instruments and transaction costs, as well as constraints on feasible hedging positions. We assume an investor maximizing the expected utility of his terminal wealth over a finite holding...

This paper considers arbitrage-free option pricing in the presence of large agents. These large agents have a significant market power, and their trading strategies influence the dynamics of the financial asset prices. First, a simple asset pricing model in the presence of large agents is...

We model a banker's future bonuses as a series of call options on the bank's profits and show that bonus caps and deferrals reduce risk-taking. However, the banker's optimal risk-taking also depends on the costs of risk-taking. We calibrate the model to US banking data and show that lengthening...

The global financial crisis of 2007–2008 has given rise to new regulatory initiatives to put restrictions on the size and the term of bankers' pay. We revisit both theoretically and empirically the question of whether these regulations are justified. We model bonuses as a series of sequential...