Optimal decision-making of mutual fund temporary borrowing problem via approximate dynamic programming

Temporary borrowing is a liquidity risk management tool for mutual fund managers to meet investor redemption demands. We develop a new Markov decision process model to describe the temporary borrowing process, considering the multiple lending channels, the validity period of loans, and the uncertain...

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Bibliographic Details
Published in:Computers & operations research Vol. 153; p. 106162
Main Authors: Luo, Xuyang, Song, Chunyue
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.05.2023
Subjects:
Approximate dynamic programming
Finance
Mutual fund redemption risk management
Temporary borrowing
Uncertainty
Approximate dynamic programming
Uncertainty
Mutual fund redemption risk management
Finance
Temporary borrowing
ISSN:0305-0548, 1873-765X
Online Access:Get full text
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Summary:Temporary borrowing is a liquidity risk management tool for mutual fund managers to meet investor redemption demands. We develop a new Markov decision process model to describe the temporary borrowing process, considering the multiple lending channels, the validity period of loans, and the uncertainties of cost, demand, and maximum loan amount simultaneously. An approximate dynamic programming (ADP) algorithm is initiated to solve the cost-minimizing temporary borrowing problem. We construct the value function as a separable approximation and prove the convexity of its components with respect to the available funds in different channels. Moreover, a new value function updating formula, DMAX, is designed to overcome value function overestimation. The proved convexity and the proposed formula contribute to fast and reliable value function estimation. Numerical experiments based on actual business data show that the proposed algorithm can obtain near-optimal decisions in deterministic cases and maintain high robustness in stochastic cases. •A new mutual fund temporary borrowing problem is investigated.•Decision’s downstream impact is tracked by separable value function approximation.•The value function component is convex and piecewise linear in funds available.•Novel updating formula “DMAX” overcomes value function overestimation.•Experiments are conducted on data provided by a Chinese mutual fund company.
ISSN:0305-0548
1873-765X
DOI:10.1016/j.cor.2023.106162