Black-scholes-merton, Marketing Management

Assignment Help:

Black-Scholes-Merton

This section illustrates the Black-Scholes (BS) model [BS73] and the pricing form under it by using a European call option that based on the assumption of deterministic interest rates in the market for a particular stock. Such an assumption the stochastic interest rates have a stronger influence on the pricing option for a long-maturity, however, deterministic feature of interest rates is harmless in most situation.

Suppose we are studying this on a complete filtered probability space (Ω, f, F = (ft)t≥0,P), consists of a probability space  (Ω, f, P)and a filtration F = (ft)t≥0contained in f.

Assume that the asset-price St follows a geometric Brownian motion GBM if it satisfies the following stochastic differential equation (SDE):

dSt =rStdt + σSt dWt1

where r is the riskless rate, the standard deviation parameter σ determines its volatility as well Wt1 is a standard Brownian motion. The BS model requires that both the riskless rate and the volatility of the asset-price remain constant over the period of analysis. Moreover, the asset-price considers being a right-continuous with left limit. In addition, there is no way to make a riskless profit (i.e., There is no arbitrage opportunity) as well as the transaction does not incur any fees or costs in the market. However, it has been observed that riskless rate and volatility should be stochastic [HW93] and [Hes93] respectively.


Related Discussions:- Black-scholes-merton

What are suppliers firms and resellers in microenvironment, What are Suppli...

What are Suppliers Firms and Resellers in the Microenvironment of a company? Suppliers: Suppliers Firms and individuals which provide the resources required by the company

Analyse the process, The Fabrication & Baking Industries Ltd (The FBI ) ...

The Fabrication & Baking Industries Ltd (The FBI ) The FBI is a specialty manufacturer of fabricated, baked enamel components for the mining industry, located in Newcastle. Larg

Marketing segmentation concepts , Describe the concept of market segmentati...

Describe the concept of market segmentation, targeting and positioning (STP''s) with a typical example of either a product or an organization you are familiar with.

Explain about the product levels in briefly, Explain about the product leve...

Explain about the product levels in briefly. Product levels in marketing are specified in below: a. First and more basic level is core benefit implies basic services custo

What types of tools use in consumer promotion scheme, What types of tools u...

What types of tools use in consumer promotion scheme? Consumer promotion Schemes:– 1. Samples: Offer a free amount of a service or product. Sampling is the most e

Consumer buying behevior , how to made the question for consumer buying be...

how to made the question for consumer buying behevior project

Supply and demand framework, The market for labor can be studied use a supp...

The market for labor can be studied use a supply and demand framework.  The demand for labor is from employers who use labor to produce goods and services.  The supply of labor is

What is the focal point of marketing, What is the focal point of marketing ...

What is the focal point of marketing with building and delivering customer value and satisfaction? Focal point of marketing with building and delivering customer value and sati

How is solution to customer in personal selling provided, How is solution t...

How is solution to customer in personal selling process provided? Providing solutions to customer: After the presentation when any queries exist, in that case sales execu

Mis, what is mis

what is mis

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd