Papers, ranked by score

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

Intergenerational cross-subsidies in UK Collective Defined Contribution (CDC) funds

We evaluate the performance and level of intergenerational cross-subsidy in flat-accrual and dynamic-accrual collective defined contribution (CDC) schemes which have been designed to be compatible with UK legislation. In the flat-accrual scheme, all members accrue the benefits at the same rate irres

Holy Grail Math 6.5 Rigor 7 ·  November 10, 2024

Optimal post-retirement investment under longevity risk in collective funds

We study the optimal investment problem for a homogeneous collective of $n$ individuals investing in a Black-Scholes model subject to longevity risk with Epstein–Zin preferences. %and with preferences given by power utility. We compute analytic formulae for the optimal investment strategy, consumpt

Lab Rats Math 8 Rigor 3.5 ·  September 6, 2024

Gamma Hedging and Rough Paths

We apply rough-path theory to study the discrete-time gamma-hedging strategy. We show that if a trader knows that the market price of a set of European options will be given by a diffusive pricing model, then the discrete-time gamma-hedging strategy will enable them to replicate other European optio

Lab Rats Math 9.2 Rigor 2.5 ·  September 10, 2023

Machine-learning a family of solutions to an optimal pension investment problem

We use a neural network to identify the optimal solution to a family of optimal investment problems, where the parameters determining an investor’s risk and consumption preferences are given as inputs to the neural network in addition to economic variables. This is used to develop a practical tool t

Lab Rats Math 8 Rigor 3 ·  November 10, 2025

Collective Defined Contribution Schemes Without Intergenerational Cross-Subsidies

We present an architecture for managing Collective Defined Contribution (CDC) schemes. The current approach to UK CDC can be described as shared-indexation, where the nominal benefit of every member in a scheme receives the same level of indexation each year. The design of such schemes rely on the u

Lab Rats Math 8 Rigor 3 ·  April 23, 2025

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