Papers, ranked by score

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

Pricing time-capped American options using Least Squares Monte Carlo method

In this paper, we adopt the least squares Monte Carlo (LSMC) method to price time-capped American options. The aforementioned cap can be an independent random variable or dependent on asset price at random time. We allow various time caps. In particular, we give an algorithm for pricing the American

Holy Grail Math 8 Rigor 5.5 ·  March 2, 2025

Ruin probability for the quota share model with~phase-type distributed claims

In this paper, we generalise the results presented in the literature for the ruin probability for the insurer–reinsurer model under a pro-rata reinsurance contract. We consider claim amounts that are described by a phase-type distribution that includes exponential, mixture of exponential, Erlang, a

Holy Grail Math 8 Rigor 5.5 ·  March 14, 2023

Last passage American cancellable option in Lévy models

We derive the explicit price of the perpetual American put option cancelled at the last passage time of the underlying above some fixed level. We assume the asset process is governed by a geometric spectrally negative Lévy process. We show that the optimal exercise time is the first epoch when asset

Lab Rats Math 8.5 Rigor 3 ·  December 2, 2022

Pricing American options time-capped by a drawdown event in a Lévy market

This paper presents a derivation of the explicit price for the perpetual American put option time-capped by the first drawdown epoch beyond a predefined level. We consider the market in which an asset price is described by geometric Lévy process with downward exponential jumps. We show that the opti

Lab Rats Math 8.5 Rigor 2.5 ·  August 28, 2025

Pricing American Options Time-Capped by a Drawdown Event

This paper presents a derivation of the explicit price for the perpetual American put option in the Black-Scholes model, time-capped by the first drawdown epoch beyond a predefined level. We demonstrate that the optimal exercise strategy involves executing the option when the asset price first falls

Lab Rats Math 8 Rigor 2.5 ·  August 31, 2025

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