In this work we are concerned with valuing the option to invest in a project when the project value and the investment cost are both mean-reverting. Previous works on stochastic project and investment cost concentrate on geometric Brownian motions (GBMs) for driving the factors. However, when...

This paper uses a real options approach to examine the impact of ramping rate restrictions imposed on hydro operations to protect aquatic ecosystems. We consider the effect on profits from electricity generation in order to inform policy decisions about ramping rate restrictions. A novelty of...

We calibrate the local volatility surface for European options across all strikes and maturities of the same underlying. There is no interpolation or extrapolation of either the option prices or the volatility surface. We do not make any assumption regarding the shape of the volatility surface...

Regulators and central banks are defining-through mathematical formulae-the market microstructure for the calculation of fixings for LIBOR interest rate swaps in terms of the relevant swap rates that reference the Risk-Free Rate that will replace a particular LIBOR post its cessation. The...

Nature provides critical ecosystem services on which society and businesses rely, but the effort and cost of utilizing those services can change with the climate. Both climatic trend and variance affect these efforts and costs, creating a complex decision space where uncertain future predictions...

Temporary water transfers, as achievable under option contracts, capture gains from trade that would go unrealized if only permanent transfers of water rights were possible. This paper develops a bilateral option contracting model for water which includes the possibility of conveyance losses and...

Although agriculture could contribute substantially to European emission reductions, its mitigation potential lies untapped and dormant. Market-based instruments could be pivotal in incentivizing cost-effective abatement. However, sector specificities in transaction costs, leakage risks and...

We derive a general formula for the time decay, theta, for out-of-the-money European options on stocks and bonds at expiry, in terms of the density of jumps and payoff. Explicit formulas are derived for the standard put and call options, exchange options in stochastic volatility and local...

New methods for solving general linear parabolic partial differential equations (PDEs) in one space dimension are developed. The methods combine quadratic-spline collocation for the space discretization and classical finite differences, such as Crank-Nicolson, for the time discretization. The...