This paper derives an analytic expression for the distribution of the average volatility in the stochastic volatility model of Hull and White. This result answers a longstanding question, posed by Hull and White (Journal of Finance 42, 1987), whether such an analytic form exists. Our findings...

We analyze the pricing of risky income streams in a world with competitive security markets where investors are constrained by restrictions on possible portfolio holdings. We investigate how we can transfer concepts and pricing techniques from a world without frictions to such a more realistic...

This paper presents a new numerical method for pricing American call options when the volatility of the price of the underlying stock is stochastic. By exploiting a log-linear relationship of the optimal exercise boundary with respect to volatility changes, we derive an integral representation...

We develop a method that allows one to compute incomplete-market equilibria routinely forMarkovian equilibria (when they exist). The main difficulty to be overcome arises from the setof state variables. There are, of course, exogenous state variables driving the economy but, in anincomplete...

In the existing literature on barrier options, much effort has been exerted to ensureconvergence through placing the barrier in close proximity to, or directly onto, thenodes of the tree lattice. In this paper we show that this may not be necessary toachieve accurate option price...

This paper complements theoretical studies on the Kelly rule in evolutionary finance by studying a Darwinian model of selection and reproduction in which the diversity of investment strategies is maintained through genetic programming. We find that investment strategies which optimize long-term...

The global energy crisis that began in fall 2021 and the following spike in energy price constitute a major challenge for the world economy which risks undermining the post-COVID-19 recovery. In this paper, we develop and validate a new macroeconomic agent-based model with an endogenous energy...

Worldwide, with different frequencies and magnitudes, coastlines are increasingly being affected by climate change hazards. The high urbanization rate, due to economic opportunities and natural amenities, further exacerbates vulnerabilities in these areas, requiring prompt and effective...

Climate change impacts in coastal areas (CA) have exposed coastal ecosystems to unprecedented conditions. System dynamic modelling (SD) has been used as a powerful tool to improve climate change adaptation (CCA) strategies. However, until now there are no review papers that summarize how...

This paper develops a simulation-based solution method to solve large state space macrofinance models using machine learning. We use a neural network (NN) to approximate the expectations in the optimality conditions in the spirit of the stochastic parameterized expectations algorithm (PEA)....