We study a continuous time optimal portfolio allocation problem with volatility and co- jump risk, allowing prices, variances and covariances to jump simultaneously. Differently from the traditional approach, we deviate from affine models by specifying a flexible Wishart jump-diffusion for the co-precision (the inverse of the covariance matrix). The optimal portfolio weights that solve the dynamic programming problem are genuinely dy- namic and proportional to the instantaneous co-precision, reconciling optimal dynamic al- location with the static Markowitz-type economic intuition. An application to the optimal allocation problem across hedge fund investment styles illustrates the importance of hav- ing jumps in volatility associated with jumps in price.

Optimal portfolio allocation with volatility and co-jump risk that Markowitz would like / Oliva, Immacolata; Reno', Roberto. - In: JOURNAL OF ECONOMIC DYNAMICS & CONTROL. - ISSN 0165-1889. - 94(2018), pp. 242-256. [10.1016/j.jedc.2018.05.004]

Optimal portfolio allocation with volatility and co-jump risk that Markowitz would like

Immacolata Oliva
;
Roberto Renò
2018

Abstract

We study a continuous time optimal portfolio allocation problem with volatility and co- jump risk, allowing prices, variances and covariances to jump simultaneously. Differently from the traditional approach, we deviate from affine models by specifying a flexible Wishart jump-diffusion for the co-precision (the inverse of the covariance matrix). The optimal portfolio weights that solve the dynamic programming problem are genuinely dy- namic and proportional to the instantaneous co-precision, reconciling optimal dynamic al- location with the static Markowitz-type economic intuition. An application to the optimal allocation problem across hedge fund investment styles illustrates the importance of hav- ing jumps in volatility associated with jumps in price.
2018
Asset allocation; Stochastic volatility; Co-jumps; Wishart process; Dynamic programming; Hedge funds
01 Pubblicazione su rivista::01a Articolo in rivista
Optimal portfolio allocation with volatility and co-jump risk that Markowitz would like / Oliva, Immacolata; Reno', Roberto. - In: JOURNAL OF ECONOMIC DYNAMICS & CONTROL. - ISSN 0165-1889. - 94(2018), pp. 242-256. [10.1016/j.jedc.2018.05.004]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1283091
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