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An explicit solution for optimal investment problems with autoregressive prices and exponential utility

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Deák S., Rásonyi M.

Applicationes Mathematicae

2015

tom 42

nr 4

379-401

We calculate explicitly the optimal strategy for an investor with exponential utility function when the price of a single risky asset (stock) follows a discrete-time autoregressive Gaussian process. We also calculate its performance and analyse it when the trading horizon tends to infinity. Dependence of the asymptotic performance on the autoregression parameter is determined. This provides, to the best of our knowledge, the first instance of a theorem linking directly the memory of the asset price process to the attainable satisfaction level of investors trading in the given asset.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Deák S.

1 Rásonyi M.

1 2015

Wyniki wyszukiwania

An explicit solution for optimal investment problems with autoregressive prices and exponential utility