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Author: Shu-Ing Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
This article presents a closed form solution for pricing American stock call options with one known dividend under the Ho-Lee stochastic interest rate assumptions. Both the closed-form pricing formula and delta hedge ratio formula for the discussed American stock call options are derived. The correlation between the underlying stock price process and the discount factor process is suitably established. Numerical analyses demonstrate that there are some crucial parameters, the correlation coefficient between the stock price process and the discount factor process, and the amount of dividend, that have an impact on the option price and the delta hedge ratio. These results provide researchers and participants with some pricing and hedging applications in the real financial market.
Author: Shu-Ing Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
This article presents a closed form solution for pricing American stock call options with one known dividend under the Ho-Lee stochastic interest rate assumptions. Both the closed-form pricing formula and delta hedge ratio formula for the discussed American stock call options are derived. The correlation between the underlying stock price process and the discount factor process is suitably established. Numerical analyses demonstrate that there are some crucial parameters, the correlation coefficient between the stock price process and the discount factor process, and the amount of dividend, that have an impact on the option price and the delta hedge ratio. These results provide researchers and participants with some pricing and hedging applications in the real financial market.
Author: An Jiang
Publisher:
ISBN:
Category :
Languages : en
Pages : 149
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Book Description
In financial markets, spread option is a derivative security with two underlying assets and the payoff of the spread option depends on the difference of these assets. We consider American style spread option which allows the owners to exercise it at any time before the maturity. The complexity of pricing American spread option is that the boundary of the corresponding partial differential equation which determines the option price is unknown and the model for the underlying assets is two-dimensional.
Author: Robert A. Jarrow
Publisher: McGraw-Hill/Irwin
ISBN:
Category : Business & Economics
Languages : en
Pages : 268
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Book Description
Author: S. Kruse
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Peter Carayannopoulos
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author: Ton Vorst
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
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Book Description
In this paper we develop a new method to value American stock options with stochastic interest rates. We construct a binomial tree for the stock price divided by the price of the zero coupon bond that matures at the maturity date of the option. In fact, we construct a tree for the so-called forward risk adjusted measure. In each node of the tree the quotient of the stock price and bond price is constant and there are combinations of stock and bond prices for which immediate exercise is optimal and other combinations for which this is not the case. We derive for each node in the tree an analytic expression for the expected immediate exercise premium conditional on this quotient of stock and bond prices. This immediate exercise premium is added to the value that is derived from the familiar backward procedure. Both European and American option prices depend on the correlation between the interest rate process and the stock price process. It is interesting to see that with increasing correlation between the interest rate process and the stock price process, and hence a decreasing correlation between bond and stock prices, the values of European options increase, while the values of the early exercise premium decrease. For American options this might result in a non-monotonic relation between the correlation coefficient and the option price. Furthermore, there is evidence that the early exercise premium due to stochastic interest rates is much larger than established before by other researchers. Finally, we also consider the influence of the shape of the initial term structure.
Author: Kaushik I. Amin
Publisher:
ISBN:
Category : International finance
Languages : en
Pages : 58
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Book Description
Author: Kaushik Ishwar Amin
Publisher:
ISBN:
Category : Interest rate futures
Languages : en
Pages : 298
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Book Description
Author: Albert Jan Menkveld
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Author: Jerome Detemple
Publisher: CRC Press
ISBN: 1420034863
Category : Business & Economics
Languages : en
Pages : 247
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Book Description
Focusing on recent developments in the field, American-Style Derivatives provides an extensive treatment of option pricing with emphasis on the valuation of American options on dividend-paying assets. This book reviews valuation principles for European contingent claims and extends the analysis to American contingent claims. It presents basic valuation principles for American options including barrier, capped, and multi-asset options. It also reviews numerical methods for option pricing and compares their relative performance. Ideal for students and researchers in quantitative finance, this material is accessible to those with a background in stochastic processes or derivative securities.
