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ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS
Authors:Peter Carr  Robert Jarrow  Ravi Myneni
Institution:Johnson Graduate School of Management, Cornell University, Ithaca, NY;Graduate School of Business, Stanford University, Stanford, CA
Abstract:We derive alternative representations of the McKean equation for the value of the American put option. Our main result decomposes the value of an American put option into the corresponding European put price and the early exercise premium. We then represent the European put price in a new manner. This representation allows us to alternatively decompose the price of an American put option into its intrinsic value and time value, and to demonstrate the equivalence of our results to the McKean equation.
Keywords:American put options  European put options  local time  free boundary-problem  optimal stopping problem
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