Black–Scholes Is a Model, Not a Universal Law

Summary

The document raises the broader question of misconceptions in quantitative finance, motivated by claims about Black–Scholes and option pricing. Its substantive answer is that the Black–Scholes–Merton framework should be understood as a model rather than a universal law governing market prices.

The answer notes that alternative pricing frameworks seek to represent features the basic model may not capture, including stochastic volatility and jumps. This is a useful reminder to distinguish a model’s assumptions from observed market behavior and to consider whether those assumptions fit the problem at hand. The discussion is brief and does not compare models, derive pricing formulas, or provide empirical evidence about their performance. A separate response recommends a book on misconceptions, but supplies no further technical explanation.

Key ideas

• Black–Scholes–Merton is a model with assumptions, not a law of nature.
• Other option pricing models incorporate features such as stochastic volatility or jumps.
• Model choice should reflect the market behavior and pricing problem being studied.
• The document offers a conceptual caution but no model comparison or empirical results.

Tags

# Common misconceptions in Quantitative Finance?


# Common misconceptions in Quantitative Finance?












This question is motivated by my experience of meeting some markets professionals who claimed certain things about Black Scholes and option pricing.

So I am wondering what are some of the common misconceptions within Quantitative Finance that people have encountered?

## Answer by Bikenfly (score 2)

https://quant.stackexchange.com/a/35213

Paul Wilmott wrote a book that addresses the subject pretty well. A solid read. The Money Formula

## Answer by Kosta S. (score 0)

https://quant.stackexchange.com/a/35212

- Black-Scholes: One of the biggest misconceptions is that the general BSM-Formula is a "law of nature". People sometimes forget the word "model". That's why in the field of finance there is an enormous amount of other models, which try to make option-pricing as realistic as possible (stochastic volatility, jump-processes etc.)

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.