Valuation of Index-Linked Cash Flows in a Heath-Jarrow-Morton Framework

Alm, Jonas,1984Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg (författare)

In this paper, we study the valuation of stochastic cash flows that exhibit dependence on interest rates. We focus on insurance liability cash flows linked to an index, such as a consumer price index or wage index, where changes in the index value can be partially understood in terms of changes in the term structure of interest rates. Insurance liability cash flows that are not explicitly linked to an index may still be valued in our framework by interpreting index returns as so-called claims inflation, i.e., an increase in claims cost per sold insurance contract. We focus primarily on the case when a deep and liquid market for index-linked contracts is absent or when the market price data are unreliable. Firstly, we present an approach for assigning a monetary value to a stochastic cash flow that does not require full knowledge of the joint dynamics of the cash flow and the term structure of interest rates. Secondly, we investigate in detail model selection, estimation and validation in a Heath-Jarrow-Morton framework. Finally, we analyze the effects of model uncertainty on the valuation of the cash flows and how forecasts of cash flows and interest rates translate into model parameters and affect the valuation.

Lindskog, FilipStockholms universitet,Matematiska institutionen,Stockholm University(Swepub:su)fili5338 (författare)
Göteborgs universitetInstitutionen för matematiska vetenskaper, matematisk statistik (creator_code:org_t)

Om ämnet

SAMHÄLLSVETENSKAP: SAMHÄLLSVETENSKA ...; och Ekonomi och näri ...; och Företagsekonomi

Av lärosätet: Chalmers tekniska högskola; Göteborgs universitet; Stockholms universitet

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