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

assgnment, #what is personal selling,direct marketing,exhibitions

#what is personal selling,direct marketing,exhibitions?

Define the term total quality management, Define the term total quality man...

Define the term total quality management. TQM is stands for total quality management: In a strategic context, QM is most accurately categorized as a tactic for carrying o

#titleSOLUTION.., Ask a managing director of a large company made the follo...

Ask a managing director of a large company made the following statement: "to be successful in business, all you need is a customer. you don''t need any of those tight little academ

Enumerate about the marketing communications, Enumerate about the marketing...

Enumerate about the marketing communications Origin of many definitions rests with a promotional outlook, where purpose was to use communications to persuade people to buy serv

What is financing in functions of marketing, What is financing in functions...

What is financing in functions facilitating exchange? Financing: Financing and marketing both functions of a business are interlinked along with each other. The department

Explain about marketing communication, Q. Explain about Marketing communica...

Q. Explain about Marketing communication? Marketing communication: - Is the procedure in which two or more persons consciously or unconsciously attempt to influence each othe

Bcg matrix, #question draw an bcg matrix with an numerical example..

#question draw an bcg matrix with an numerical example..

3C of Marketing, Illustration of 3C of Marketing Triangle

Illustration of 3C of Marketing Triangle

Test marketing, Mm - wht is test mktg? Explain various approaches that are...

Mm - wht is test mktg? Explain various approaches that are followed by FMCG co. in test mktg

Marketing, what is the difference between goods marketing and services mark...

what is the difference between goods marketing and services marketing?

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