Black-Scholes Research Problem

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In summary, the person is looking for a Black-Scholes equation problem to use in their 20-30 page math research paper. They are unsure of how to construct the problem and ask for suggestions, but they also need clarification on what is meant by a "research paper". This could involve original mathematics, routine application of known mathematics, or explaining specialized aspects of a topic.
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MrMumbleX
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I don't exactly understand Black-Scholes equations, but I need a problem involving Black-Scholes for a 20-30 page math research paper. Would someone please give me a good problem or some suggestions on how to construct the problem?
 
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You need to define "research paper" precisely. It could mean:

1. Original mathematics - new theorems, proofs etc.
2. Routine application of known mathematics to a problem that has a few particular details that keep it from being an elementary textbook problem
3. A paper that explains specialized aspects of a topic - known mathematics but more than is in your textbook. This might be called a "term paper".
 

1. What is the Black-Scholes Research Problem?

The Black-Scholes Research Problem is a mathematical model for pricing options contracts, which was developed by Fischer Black and Myron Scholes in the early 1970s. It is widely used in the financial industry to determine the fair price of options based on factors such as the underlying asset's price, time until expiration, and volatility.

2. Why is the Black-Scholes Research Problem important?

The Black-Scholes Research Problem revolutionized the field of quantitative finance by providing a reliable method for pricing options contracts. It also paved the way for further research and development of other mathematical models for financial markets.

3. What are the assumptions of the Black-Scholes Research Problem?

The Black-Scholes Research Problem makes several assumptions, including constant volatility, no dividends, and efficient markets. It also assumes that the underlying asset's price follows a lognormal distribution and that there are no transaction costs or taxes.

4. How accurate is the Black-Scholes Research Problem?

The Black-Scholes Research Problem is considered to be a fairly accurate model for pricing options contracts. However, it does have its limitations, such as not taking into account market movements that cannot be predicted by historical data. It is also important to regularly adjust the model's inputs to reflect current market conditions.

5. What are some criticisms of the Black-Scholes Research Problem?

One major criticism of the Black-Scholes Research Problem is that it does not account for extreme market events or changes in market conditions. It also assumes that volatility is constant, which is not always the case in reality. Additionally, some argue that the model's reliance on historical data may not accurately reflect future market movements.

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