Robust Bond Portfolio Construction via Convex-Concave Saddle Point Optimization

Fuente: arXiv
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Autori principali: Luxenberg, Eric, Schiele, Philipp, Boyd, Stephen
Natura: Preprint
Pubblicazione: 2022
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author Luxenberg, Eric
Schiele, Philipp
Boyd, Stephen
author_facet Luxenberg, Eric
Schiele, Philipp
Boyd, Stephen
contents The minimum (worst case) value of a long-only portfolio of bonds, over a convex set of yield curves and spreads, can be estimated by its sensitivities to the points on the yield curve. We show that sensitivity based estimates are conservative, \ie, underestimate the worst case value, and that the exact worst case value can be found by solving a tractable convex optimization problem. We then show how to construct a long-only bond portfolio that includes the worst case value in its objective or as a constraint, using convex-concave saddle point optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2212_02570
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Robust Bond Portfolio Construction via Convex-Concave Saddle Point Optimization
Luxenberg, Eric
Schiele, Philipp
Boyd, Stephen
Optimization and Control
Portfolio Management
The minimum (worst case) value of a long-only portfolio of bonds, over a convex set of yield curves and spreads, can be estimated by its sensitivities to the points on the yield curve. We show that sensitivity based estimates are conservative, \ie, underestimate the worst case value, and that the exact worst case value can be found by solving a tractable convex optimization problem. We then show how to construct a long-only bond portfolio that includes the worst case value in its objective or as a constraint, using convex-concave saddle point optimization.
title Robust Bond Portfolio Construction via Convex-Concave Saddle Point Optimization
topic Optimization and Control
Portfolio Management
url https://arxiv.org/abs/2212.02570