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MAXIMIZING THE PROBABILITY OF A PERFECT HEDGE USING AN IMPERFECTLY CORRELATED INSTRUMENT

International Journal of Theoretical and Applied Finance, 2005
Let Xϕ denote the trading wealth generated using a strategy ϕ, and let CT be a contingent claim which is not spanned by the traded assets. Consider the problem of finding the strategy which maximizes the probability of terminal wealth meeting or exceeding the claim value at some fixed time horizon, i.e., of finding [Formula: see text]. This problem is
DAVID HOBSON, JEREMY PENN
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Maximizing the Probability of a Perfect Hedge in the Case of Stochastic Interest Rate

American Journal of Mathematical and Management Sciences, 2010
SYNOPTIC ABSTRACTIn the financial market including n risky assets with prices following the full-observed geometric-Brownian Motion model and a bank account with stochastic interest rate, we study the problem of maximizing the probability of an investor's wealth at terminal time T meeting or exceeding the value of a contingent claim C which expires at ...
Yanchu Liu, Shuguang Zhang
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