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

Examine the corporate social responsibility, Question 1: Mauritius has ...

Question 1: Mauritius has planned to double its number of international tourists within the next 10 years. Discuss the challenges faced by destination marketers in the devel

Brand loyalty, Brand loyalty: The starting point in understanding brand...

Brand loyalty: The starting point in understanding brand equity is the extent to which a brand enjoys customer loyalty. It is important to discriminate between habitual buying

Relationship marketing concept in business, Question 1: "Various factor...

Question 1: "Various factors have created a need for businesses to move from a Traditional Marketing approach to a Relationship Marketing one." (a) Describe this statement.

Desk based research, Jamieson (1997) suggests that Australia's ability to i...

Jamieson (1997) suggests that Australia's ability to identify and capture the considerable opportunities which will continue to emerge in the Asian region will play a significant r

Nelson mathematics sharing and grouping, use the equation of 42 divded by 7...

use the equation of 42 divded by 7 to write 2 promblems one about sharing the other about grouping

Test marketing & FMCG, explain the various approaches that are followed by ...

explain the various approaches that are followed by FMCG companies in test marketing.

What is buyer analysis in personal selling process, What is buyer analysis ...

What is buyer analysis in personal selling process? Buyer analysis: Before approaching any customer, sales force must understand what products prospects bought within the

Marketing, How should Shoppers’ Stop develop its demand forecasts?

How should Shoppers’ Stop develop its demand forecasts?

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