SECURITY PRINCIPLES AND PRACTICE FOURTH EDITION WILLIAM STALLINGS Copyright 2006: William Stallings -2- © 2006 by William Stallings All rights reserved. No part of this document may be reproduced‚ in any form or by any means‚ or posted on the Internet‚ without permission in writing from the author. -3- NOTICE This manual contains solutions to all of the review questions and homework problems in Cryptography and Network Security‚ Fourth Edition. If you spot an error in a solution
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Black-Scholes Option Pricing Formula In their 1973 paper‚ The Pricing of Options and Corporate Liabilities‚ Fischer Black and Myron Scholes published an option valuation formula that today is known as the Black-Scholes model. It has become the standard method of pricing options. The Black-Scholes model is a tool for equity options pricing. Options traders compare the prevailing option price in the exchange against the theoretical value derived by the Black-Scholes Model in order to determine
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Gothic Literature is a unique form of writing that encompasses: fiction‚ horror‚ death‚ and romance. This type of writing uses the idea of the supernatural as well as the capacity for evil in a human being which ultimately thickens and intensifies the plots of the stories and makes them more intriguing. In the following three works: Miss Peregrine’s Home for Peculiar Children‚ “The Raven”‚ and “The Black Cat”‚ there are many unique elements of gothic literature‚ however the most prominent are: psychological
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poems throughout the 1700’s and beyond‚ created a particular style of writing: romanticism. With the use of romanticism‚ these authors manage to create aspects of mood with different feeling and emotions that convey darker themes. The elements of Gothic Literature in the short stories the “Black Cat‚” “the Devil and Tom Walker‚” and Sharp Objects create a morbid mood through the usage of grotesque scenery‚ psychological issues‚ and death. To begin‚ in the “Black Cat” and Sharp Objects death is taken
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definition‚ the integral evaluates to be 1. Proof of Black Scholes Formula Theorem 2: Assume the stock price following the following PDE Then the option price for a call option with payoff is given by 1 Proof: By Ito’s lemma‚ If form a portfolio P Applying Ito’s lemma Since the portfolio has no risk‚ by no arbitrage‚ it must earn the risk free rate‚ Therefore we have Rearranging the terms we have the Black Scholes PDE With the boundary condition To solve this PDE
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Continuous-Time Models c 2009 by Martin Haugh Fall 2009 Black-Scholes and the Volatility Surface When we studied discrete-time models we used martingale pricing to derive the Black-Scholes formula for European options. It was clear‚ however‚ that we could also have used a replicating strategy argument to derive the formula. In this part of the course‚ we will use the replicating strategy argument in continuous time to derive the Black-Scholes partial differential equation. We will use this PDE and the
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Oedipus Rex by Sophocles 1. Human Significance. The connection between literature and life is intimate and vital. Sophocles’ Oedipus Rex shows variety of human struggles. Of all the themes in Sophocles’ Oedipus Rex‚ fate is the most profound. Oedipus’ struggle against his fate‚ as has been mentioned throughout this essay‚ is arguably the primary conflict of play. Oedipus’ story demonstrates some people’s belief that men were bound by fate no matter how they fought against it. Yet‚ this might
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Supernatural Elements in English Literature: The Werewolves A werewolf‚ also known as a lycanthrope‚ is a mythological or folkloric human with the ability to transform into a wolf or an anthropomorphic wolf-like creature‚ either purposely or after being placed under a curse and/or lycanthropic affliction through a bite or scratch from a werewolf‚ or some other means. This transformation is often associated with the appearance of the full moon‚ as popularly noted by the medieval chronicler Gervase
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It is a common assumption that an author’s creativity and imagination are the sole factors influencing their works of literature. Surely‚ the most famous authors were simply naturally gifted and contrived their entire works independent of whatever unimportant environment they experienced - right? Robert Louis Stevenson’s works prove this to be false. His most famous works had many underlying influences that the majority of readers might never know. Medical advancements‚ English imperialism‚ English
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