The basic model of financial economics is the Samuelson model of geometric Brownian motion because of the celebrated Black-Scholes formula for pricing the call option. The asset's volatility is a linear function of the asset value and the model garantees positive asset prices. In this paper it...

Many economic and econometric applications require the integration of functions lacking a closed form antiderivative, which is therefore a task that can only be solved by numerical methods. We propose a new family of probability densities that can be used as substitutes and have the property of...

Building on a model of the interaction of risk-averse frms that compete in forward and spot markets, we develop an empirical strategy to test whether oligopolistic frms use forward contracts for strategic motives, for risk-hedging, or for both. An increase in the number of players weakens the...

Forward sales is a credible commitment to aggressive spot market bidding, and it mitigates producers’ market power in electricity markets. Still it can be profitable for a producer to make such a commitment if it results in a soft response from competitors in the spot market (strategies are...

This paper studies the effect of forward contracts on the stability of collusion among firms, competing in supply functions on the spot market. A forward market can increase the range of discount factors which allow to sustain collusion. On the contrary, collusion is destabilised when a...

Many electricity markets exhibit an oligopolistic structure with market participants whose individual trading activities may shift prices essentially. In this context, the question of how to optimally liquidate an existing electricity futures portfolio over a fixed time horizon under the...

This paper studies the effect of forward contracts on the stability of collusion among firms, competing in supply functions on the spot market. A forward market can increase the range of discount factors which allow to sustain collusion. On the contrary, collusion is destabilised when a...

We construct a model of strategic behavior in sequential markets which exhibits a persistent forward price premium. On the spot market, producers wield market power while purchasers are price takers. Producers with forward commitments have less incentive to raise prices on the spot market....

We show that a common regulatory mandate in electricity markets that use location-based pricing that requires all customers to purchase their wholesale electricity at the same quantity-weighted average of the locational prices can increase the performance of imperfectly competitive wholesale...