Papers, ranked by score

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

Beyond Surrogate Modeling: Learning the Local Volatility Via Shape Constraints

We explore the abilities of two machine learning approaches for no-arbitrage interpolation of European vanilla option prices, which jointly yield the corresponding local volatility surface: a finite dimensional Gaussian process (GP) regression approach under no-arbitrage constraints based on prices,

Holy Grail Math 7.5 Rigor 7 ·  December 20, 2022

Spanning Multi-Asset Payoffs With ReLUs

We propose a distributional formulation of the spanning problem of a multi-asset payoff by vanilla basket options. This problem is shown to have a unique solution if and only if the payoff function is even and absolutely homogeneous, and we establish a Fourier-based formula to calculate the solution

Holy Grail Math 8 Rigor 5.5 ·  March 21, 2024

A Multilevel Stochastic Approximation Algorithm for Value-at-Risk and Expected Shortfall Estimation

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of future risk factors. Thus the problem of estimating its VaR an

Lab Rats Math 8.5 Rigor 4.5 ·  March 24, 2023

The Recalibration Conundrum: Hedging Valuation Adjustment for Callable Claims

The dynamic hedging theory only makes sense in the setup of one given model, whereas the practice of dynamic hedging is just the opposite, with models fleeing after the data through daily recalibration. This is quite of a quantitative finance paradox. In this paper we revisit Burnett (2021) & Burne

Holy Grail Math 7.5 Rigor 5 ·  April 4, 2023

Resolving a Clearing Member's Default, A Radner Equilibrium Approach

For vanilla derivatives that constitute the bulk of investment banks’ hedging portfolios, central clearing through central counterparties (CCPs) has become hegemonic. A key mandate of a CCP is to provide an efficient and proper clearing member default resolution procedure. When a clearing member def

Lab Rats Math 8.5 Rigor 3 ·  October 4, 2023

Sensitivity Analysis of emissions Markets: A Discrete-Time Radner Equilibrium Approach

Emissions markets play a vital role in emissions reduction by incentivizing firms to minimize costs. However, their effectiveness heavily depends on the decisions of policymakers, future economic activity, and the availability of abatement technologies. This study investigates how variations in regu

Lab Rats Math 8 Rigor 3 ·  November 9, 2024

Provisions and Economic Capital for Credit Losses

Based on supermodularity ordering properties, we show that convex risk measures of credit losses are nondecreasing w.r.t. credit-credit and, in a wrong-way risk setup, credit-market, covariances of elliptically distributed latent factors. These results support the use of such setups for computing cr

Lab Rats Math 8 Rigor 2.5 ·  January 15, 2024

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