IEOR 4106 : Introduction to Operations Research : Stochastic Models

نویسنده

  • Burcu Yildirim
چکیده

Ranwa Halasa and Burcu Yildirim have been so successful with their Halasa-Yildirim Consulting Company, that their company has gone public, and is now listed on the New York Stock Exchange under the HY symbol. Suppose that a share of HY stock initially costs $80 per share. Suppose that the HY stock share price over time (measured in years) is modelled as the stochastic process {X(t) : t ≥ 0}, where X(t) = 80 + 5B(t), t ≥ 0 , with {B(t) : t ≥ 0} being standard Brownian motion, having E[B(t)] = 0 and V ar(B(t)) = t for t ≥ 0.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

IEOR 4106 : Notes on Brownian Motion

We present an introduction to Brownian motion, an important continuous-time stochastic process that serves as a continuous-time analog to the simple symmetric random walk on the one hand, and shares fundamental properties with the Poisson counting process on the other hand. Throughout, we use the following notation for the real numbers, the non-negative real numbers, the integers, and the non-n...

متن کامل

IEOR 3106: Introduction to Operations Research: Stochastic Models Fall 2006, Professor Whitt Topics for Discussion: Thursday, December 7, 2006 More on Martingales and Brownian Motion

a. More on Definition 0.1. In Definition 0.1 we think of the stochastic process {Yn : n ≥ 0} constituting the history or information. Then {Yk : 0 ≤ k ≤ n} is the history up to (and including) time n. The random variables Yk could be random vectors, as we illustrate below. We simply say that {Xn : n ≥ 0} is a martingale if {Xn : n ≥ 0} is a martingale with respect to {Xn : n ≥ 0}; i.e., if the ...

متن کامل

Ieor E4707: Financial Engineering: Continuous-time Models Introduction to Stochastic Calculus 1 Martingales and Brownian Motion Introduction to Stochastic Calculus 2 Quadratic Variation Introduction to Stochastic Calculus 3 Stochastic Integrals Introduction to Stochastic Calculus

These notes provide an introduction to stochastic calculus, the branch of mathematics that is most identified with financial engineering and mathematical finance. We will ignore most of the “technical” details and take an “engineering” approach to the subject. We will cover more material than is strictly necessary for this course. Any material that is not required, however, should be of value f...

متن کامل

CORC Technical Report TR-2004-01 Managing Flexible Products on a Network

A flexible product is a menu of two or more alternatives products serving the same market. Purchasers of flexible products are assigned to one of the alternatives at a later date. Gallego and Phillips [9] show that capacitated suppliers, such as airlines and hotels, can potentially improve revenue by offering flexible products in addition to traditional specific products. In this paper, we exte...

متن کامل

IEOR 3106: Introduction to Operations Research: Stochastic Models SOLUTIONS to Final Exam, Sunday, December 16, 2012

Mr. Brown has a policy that he buys a new car as soon as his old one breaks down or reaches the age of 6 years, whichever occurs first. Suppose that the successive lifetimes (time until they breakdown) of the cars he buys can be regarded as independent and identically distributed random variables, each uniformly distributed on the interval [0, 10] years. Suppose that each new car costs $20, 000...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007