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This dissertation contains two topics in operations research. The first topic is to design a distribution network to facilitate the repeated movement of shipments from many origins to many destinations. A method is developed to estimate transportation costs as a function of the number of...
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Implied volatilities, as derived from option prices, have been shown to be useful in forecasting the subsequently observed volatility of the underlying financial variables. In this paper, we address the question of whether implied correlations, derived from options on the exchange rates in a...
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This paper describes a method of extracting the risk-neutral probability distribution of future exchange rates from option prices. In foreign exchange markets interbank option pricing conventions make possible reliable inferences about risk-neutral probability distributions with relatively...
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Risk managers make frequent use of finite Taylor approximations to option pricing formulas, particularly of first and second order (delta and gamma). This paper shows that for a plausible range of parameter values, the Taylor series for the Black-Scholes formula diverges. Using a numerical...
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