In this paper we introduce an additive two-factor model for electricity futures prices based on Normal Inverse Gaussian Lévy processes, that fulfills a no-overlapping-arbitrage (NOA) condition. We compute European option prices by Fourier transform methods, introduce a specific calibration...

In this paper we introduce an additive two-factor model for electricity futures prices based on Normal Inverse Gaussian Lévy processes, that fulfills a no-overlapping-arbitrage (NOA) condition. We compute European option prices by Fourier transform methods, introduce a specific calibration...

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads to a proportional cost whose instantaneous marginal value...

We consider a price-maker company which generates electricity and sells it in the spot market. The company can increase its level of installed power by irreversible installations of solar panels. In absence of the company's economic activities, the spot electricity price evolves as an...

In this paper we focus on pricing of structured products in energy markets using utility indifference pricing approach. In particular, we compute the buyer's price of such derivatives for an agent investing in the forward market, whose preferences are described by an exponential utility...

We obtain an explicit expression for the price of a vulnerable claim written on a stock whose predefault dynamics follows a Levy-driven SDE. The stock jumps to zero at default with a hazard rate intensity given by a negative power of the stock price. We recover the characteristic function of the...

Reliability Options are capacity remuneration mechanisms aimed at enhancing security of supply in electricity systems. They can be framed as call options on electricity sold by power producers to System Operators. This paper provides a comprehensive mathematical treatment of Reliability Options....

In this paper we analyse a market where the risky assets follow defaultable exponential additive processes, with coefficients depending on the default state of the assets. In this market we show that, when an investor wants to maximize a utility function which is logarithmic on both his/her...

We analyze the dependence of future returns on past drawdowns of the monthly time series of the S&P500 index, from 1967 to 2012. From historical data, it appears that when the drawdown increases in absolute value, future returns increase, both in mean as well as in distributional values. We then...

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads to a proportional cost whose instantaneous marginal value...