Forward performance measurement with applications in indifference valuation

<p>In this thesis, we present basic ideas and key results for forward performance measurement. Besides, we provide an explicit construction of the optimal processes of a class of time-monotone forward performance processes. Moreover, starting with a two parameter family risk tolerance function...

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Detalhes bibliográficos
Principais autores: Yusong, L, Yusong Li
Outros Autores: Zariphopoulou, T
Formato: Tese
Idioma:English
Publicado em: 2014
Descrição
Resumo:<p>In this thesis, we present basic ideas and key results for forward performance measurement. Besides, we provide an explicit construction of the optimal processes of a class of time-monotone forward performance processes. Moreover, starting with a two parameter family risk tolerance function, we construct a class of forward performance processes. By letting the parameter go to zero, we obtain the forward exponential utility. Finally, using the forward exponential utility, we solve the integrated portfolio management problem by the so-called utility-based approach and compare it with its classical backward indifference counterpart.</p>