Ac. Thompson, VALUATION OF PATH-DEPENDENT CONTINGENT CLAIMS WITH MULTIPLE EXERCISE DECISIONS OVER TIME - THE CASE OF TAKE-OR-PAY, Journal of financial and quantitative analysis, 30(2), 1995, pp. 271-293
Hull and White (1993) introduced a method to extend lattice-based cont
ingent claim valuation techniques to problems with path-dependent payo
ffs. This paper builds upon their method in the process of valuing two
types of commodity purchase contracts that exhibit a form of timing f
lexibility not previously analyzed in the literature. The techniques d
emonstrated take advantage of characteristics of claims that simplify
incorporation of path dependencies. Possible uses for the methods demo
nstrated include the valuation of: portfolios of mortgages, capital pr
ojects where intensity of use affects productivity of the asset, and c
apital projects with storage characteristics.