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

Explain words of schiffman and kanuk for market segmentation, Explain about...

Explain about the words of Schiffman and Kanuk about Market Segmentation. In wordings of Schiffman and Kanuk as, “This is the process of dividing a market within distinct s

What is the role of market intermediaries, What is the role of market inter...

What is the role of market intermediaries? Marketing Intermediaries: Marketing Intermediaries Firms which help the company to promote sell and distribute its goods to la

What is maximum acceptable price, What is maximum acceptable price? M...

What is maximum acceptable price? Maximum acceptable price: This approach is mainly helpful for setting the price of industrial products that core benefits to the buyer i

Discuss different decisions concerning product mix and line, Discuss in det...

Discuss in detail the different Decisions concerning product mix and product line? Product Mix: The first task of Marketing Manager is to response the question. What type

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

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

Dijkstras algorithm, Let the node at which we are starting be called the in...

Let the node at which we are starting be called the initial node. Let the distance of node Y be the distance from the initial node to Y. Dijkstra's algorithm will assign some initi

Make or buy analysis, Figi Fabricating Company is reviewing the economic fe...

Figi Fabricating Company is reviewing the economic feasibility of manufacturing a part that it currently purchases from a supplier.  Forecasted annual demand for the part is 3200 u

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