In an environment with stocks and short-term debt, random changes in the risk- reward frontier produce hedging demands for equities, implying that portfolio policies supporting optimal life-cycle consumption are rarely mean-variance e¢ cient. Pursuing optimal life-cycle portfolio policies is...

This paper exploits the early exercise premium representation to investigate strate- gic investment policies in a duopolistic continuous-time real options game. Assuming exogenous firm roles, we find that (i) as the leader installs its newly purchased capital, the follower's optimal investment...

This paper examines strategic investment in the context of a duopolistic continuous- time real options game. Our contribution is twofold, economic and methodological. The former is the recognition that, under ?xed costs of investment and time-to-build, the ?rm pays a fraction of the implicit...

We o¤er clari?cations on Cooley-Quadrini (2001) as regards ?nancial frictions and risky corporate-debt pricing. Even in a frictionless world, the promised rate on corpo- rate debt is not identical across ?rms and across capital structures and it is not equal to the risk-free market interest...

While as a matter of pure chance and mathematical manipulations, the Black- Scholes formula could have been accidentally obtained much earlier by making use of put-call parity, a simple thought experiment demonstrates the inconclusiveness of any such derivation as regards the validity of the...

This paper applies the methods of Detemple, Garcia, and Rindisbacher (2003, 2005) to derive optimal lifetime consumption-portfolio plans in an economy characterized by a N- factor Heath-Jarrow-Morton (1992) bond sector that is Markovian with respect to 3N state variables. The...

Over the past decade, risk measurement has received a much needed amount of attention from the .nancial community. Risk measures based on .xed quantiles un- der the actual probability distribution, especially Value-at-Risk and its re.nement the Conditional Tail Expectation, were instrumental in...