Papers, ranked by score

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

Choice of Collateral Currency in Differential Swaps

The role of collateral in derivative pricing has evolved beyond credit risk mitigation, particularly following the global financial crisis, when funding costs and basis spreads became central to valuation practices. This development coincided with the transition from the London Interbank Offered Rat

Holy Grail Math 8 Rigor 5 ·  March 9, 2026

Cross-Currency Basis Swaps Referencing Backward-Looking Rates

The financial industry has undergone a significant transition from the London Interbank Offered Rates (LIBORs) to Risk Free Rates (RFRs) such as, e.g., the Secured Overnight Financing Rate (SOFR) in the U.S. and the Cash Rate (AONIA) in Australia, as primary benchmark rates for borrowing costs. The

Lab Rats Math 8.5 Rigor 3.5 ·  October 11, 2024

Pairs Trading: An Optimal Selling Rule with Constraints

The focus of this paper is on identifying the most effective selling strategy for pairs trading of stocks. In pairs trading, a long position is held in one stock while a short position is held in another. The goal is to determine the optimal time to sell the long position and repurchase the short po

Lab Rats Math 8 Rigor 3 ·  July 28, 2023

Well-posedness and penalization schemes for generalized BSDEs and reflected generalized BSDEs

The paper is directly motivated by the pricing of vulnerable European and American options in a general hazard process setup and a related study of the corresponding pre-default backward stochastic differential equations (BSDE) and pre-default reflected backward stochastic differential equations (RB

Lab Rats Math 9.2 Rigor 1.5 ·  December 25, 2022

Vulnerable European and American Options in a Market Model with Optional Hazard Process

We study the upper and lower bounds for prices of European and American style options with the possibility of an external termination, meaning that the contract may be terminated at some random time. Under the assumption that the underlying market model is incomplete and frictionless, we obtain dual

Lab Rats Math 8.5 Rigor 1.5 ·  December 25, 2022

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