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Optimal asset allocation for DC pension decumulation with a variable spending rule

Recurso electrónico / Electronic resource
MARC record
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008  200604e20200501bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
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100  ‎$0‎MAPA20200000112‎$a‎Forsyth, Peter A.
24510‎$a‎Optimal asset allocation for DC pension decumulation with a variable spending rule‎$c‎Peter A. Forsyth, Kenneth R. Vetzal, Graham Westmacott
520  ‎$a‎We determine the optimal asset allocation to bonds and stocks using an annually recalculated virtual annuity (ARVA) spending rule for DC pension plan decumulation. Our objective function minimizes downside withdrawal variability for a given fixed value of total expected withdrawals. The optimal asset allocation is found using optimal stochastic control methods. We formulate the strategy as a solution to a HamiltonJacobiBellman (HJB) Partial Integro Differential Equation (PIDE). We impose realistic constraints on the controls (no-shorting, no-leverage, discrete rebalancing) and solve the HJB PIDEs numerically. Compared to a fixed-weight strategy which has the same expected total withdrawals, the optimal strategy has a much smaller average allocation to stocks and tends to de-risk rapidly over time. This conclusion holds in the case of a parametric model based on historical data and also in a bootstrapped market based on the historical data.
650 4‎$0‎MAPA20080592455‎$a‎Planes de pensiones
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080589875‎$a‎Control estocástico
650 4‎$0‎MAPA20080613877‎$a‎Ecuaciones diferenciales
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080545772‎$a‎Acciones
650 4‎$0‎MAPA20080538279‎$a‎Bonos
7001 ‎$0‎MAPA20200000136‎$a‎Vetzal, Kenneth R.
7001 ‎$0‎MAPA20200000150‎$a‎Westmacott, Graham
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/05/2020 Volumen 50 Número 2 - mayo 2020 , p. 419-447