Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Pricing energy spread options with variance gamma-driven Ornstein-Uhlenbeck dynamics

We consider the pricing of energy spread options for spot prices following an exponential Ornstein-Uhlenbeck process driven by a sum of independent multivariate variance gamma processes, which gives rise to mean-reverting, infinite activity price dynamics. Within this class of driving processes, the

Holy Grail Math 8.5 Rigor 7.5 ·  July 15, 2025

Short-Rate-Dependent Volatility Models

We price European options in a class of models in which the volatility of the underlying risky asset depends on the short rate of interest. Our study results in an explicit pricing formula that depends on knowledge of a characteristic function. We provide examples of models in which the characterist

Lab Rats Math 8 Rigor 2.5 ·  January 31, 2026

Optimal positioning in derivative securities in incomplete markets

This paper analyzes a problem of optimal static hedging using derivatives in incomplete markets. The investor is assumed to have a risk exposure to two underlying assets. The hedging instruments are vanilla options written on a single underlying asset. The hedging problem is formulated as a utility

Lab Rats Math 8.5 Rigor 2 ·  February 29, 2024

Interest rate derivatives in a CTMC setting: pricing, replication and Ross recovery

We consider a financial market in which the short rate is modeled by a continuous time Markov chain (CTMC) with a finite state space. In this setting, we show how to price any financial derivative whose payoff is a function of the state of the underlying CTMC at the maturity date. We also show how t

Lab Rats Math 6.5 Rigor 1.5 ·  September 21, 2024

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