Publication: Multiperiod mean-variance efficient portfolios with endogenous liabilities
Multiperiod mean-variance efficient portfolios with endogenous liabilities
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Leippold, M., Trojani, F., & Vanini, P. (2011). Multiperiod mean-variance efficient portfolios with endogenous liabilities. Quantitative Finance, 11(10), 1535–1546. https://doi.org/10.1080/14697680902950813
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We study the optimal policies and mean-variance frontiers (MVF) of a multiperiod mean-variance optimization of assets and liabilities (AL). This makes the analysis more challenging than for a setting based on purely exogenous liabilities, in which the optimization is only performed on the assets while keeping liabilities fixed. We show that, under general conditions for the joint AL dynamics, the optimal policies and the MVF can be decomposed into an orthogonal set of basis returns using exterior algebra. This formalism, novel to fina
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Leippold, M., Trojani, F., & Vanini, P. (2011). Multiperiod mean-variance efficient portfolios with endogenous liabilities. Quantitative Finance, 11(10), 1535–1546. https://doi.org/10.1080/14697680902950813