Most traders are aware of the volatility-related problem with the best-known option pricing model, Black-Scholes. The assumption under this model is that volatility remains constant over the entire remaining life of the option.
Of course, this makes no sense. Volatility changes constantly, ands this points out the problem with any model. It must assume that volatility remains unchanged for the math to work out. Even so, the assumption is so flawed that it makes the model unreliable. Making matter worse, the BSM has many other flaws as well. In math, one flaw is bad enough; but when you face at least 8 flaws (as BSM dies), it means there is zero reliability. [1]
But it gets worse.
Volatility is unpredictable.
Volatility does not anticipate direction or degree of price change.
The timing of price changes also affects volatility.
Moneyness also affects volatility.
Time to expiration also affects volatility.
Type of option trade distorts volatility assumptions.
Adjusting for stochastic volatility (SV) creates yet another variable.
The problem remains: No pricing model can accurately
[1] The 8 most serious flaws of BSM are: (1) Volatility remains constant (2) there is no restriction on buying or selling the underlying; (3) no tax consequences apply to profits; (4) interest rates are fixed and available to all; (5) no transaction costs are in effect; (6) trading is continuous without any gaps in price movement; (7) volatility is independent from underlying price; and (8) price changes are normally distributed.
Michael C. Thomsett is a widely published author with over 80 business and investing books, including the best-selling Getting Started in Options, coming out in its 10th edition later this year. He also wrote the recently released The Mathematics of Options. Thomsett is a frequent speaker at trade shows and blogs on his website at Thomsett Publishing as well as on Seeking Alpha, LinkedIn, Twitter and Facebook.
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Articles
Pricing Models and Volatility Problems
Most traders are aware of the volatility-related problem with the best-known option pricing model, Black-Scholes. The assumption under this model is that volatility remains constant over the entire remaining life of the option.
By Michael C. Thomsett, August 16
- Added byMichael C. Thomsett
- August 16
Option Arbitrage Risks
Options traders dealing in arbitrage might not appreciate the forms of risk they face. The typical arbitrage position is found in synthetic long or short stock. In these positions, the combined options act exactly like the underlying. This creates the arbitrage.
By Michael C. Thomsett, August 7
- Added byMichael C. Thomsett
- August 7
Why Haven't You Started Investing Yet?
You are probably aware that investment opportunities are great for building wealth. Whether you opt for stocks and shares, precious metals, forex trading, or something else besides, you could afford yourself financial freedom. But if you haven't dipped your toes into the world of investing yet, we have to ask ourselves why.
By Kim, August 7
- Added byKim
- August 7
Historical Drawdowns for Global Equity Portfolios
Globally diversified equity portfolios typically hold thousands of stocks across dozens of countries. This degree of diversification minimizes the risk of a single company, country, or sector. Because of this diversification, investors should be cautious about confusing temporary declines with permanent loss of capital like with single stocks.
By Jesse, August 6
- Added byJesse
- August 6
Types of Volatility
Are most options traders aware of five different types of volatility? Probably not. Most only deal with two types, historical and implied. All five types (historical, implied, future, forecast and seasonal), deserve some explanation and study.
By Michael C. Thomsett, August 1
- Added byMichael C. Thomsett
- August 1
The Performance Gap Between Large Growth and Small Value Stocks
Academic research suggests there are differences in expected returns among stocks over the long-term. Small companies with low fundamental valuations (Small Cap Value) have higher expected returns than big companies with high valuations (Large Cap Growth).
By Jesse, July 21
- Added byJesse
- July 21
How New Traders Can Use Trade Psychology To Succeed
People have been trying to figure out just what makes humans tick for hundreds of years. In some respects, we’ve come a long way, in others, we’ve barely scratched the surface. Like it or not, many industries take advantage of this knowledge to influence our behaviour and buying patterns.
- Added byKim
- July 21
A Reliable Reversal Signal
Options traders struggle constantly with the quest for reliable
By Michael C. Thomsett, July 20
- Added byMichael C. Thomsett
- July 20
Premium at Risk
Should options traders consider “premium at risk” when entering strategies? Most traders focus on calculated maximum profit or loss and breakeven price levels. But inefficiencies in option behavior, especially when close to expiration, make these basic calculations limited in value, and at times misleading.
By Michael C. Thomsett, July 13
- Added byMichael C. Thomsett
- July 13
Diversified Leveraged Anchor Performance
In our continued efforts to improve the Anchor strategy, in April of this year we began tracking a Diversified Leveraged Anchor strategy, under the theory that, over time, a diversified portfolio performs better than an undiversified portfolio in numerous metrics. Not only does overall performance tend to increase, but volatility and drawdowns tend to decrease: