Why I sold Alberto-Culver

A few weeks ago, I sold a call option against Alberto-Culver and on Friday, the option was exercised. I can't think of a better way to sell my shares: I sold for $22.50, the price on Friday was $22.51, and I got paid 30¢ for the privilege. As a result, my total combined ratio (after taking a penny a share loss) is 25.92%.

I still have a few shares left, but I got out of the bulk of my position in Alberto, because my original thesis is no longer valid—Sally Beauty was spun off. As it happens, I estimate that I earned 17.47% (38.90% annualized) on the first purchase and 16.32% (46.72% annualized) on the second purchase. "New Alberto" did better than I prediced, so I'm quite pleased with the overall transaction.

I still think Alberto will outperform the market over the next 5 to 10 years, but I don't think it will be a dramatic overachiever. I'll maintain a minimal stake in the company for a long time, if only because it isn't cost-effective to sell. Based on the dividend discount model, I guesstimate the shares are worth closer to $25 apiece, but I'm happy to sell in order to free up cash for an even better opportunity that I hope to buy into within a few weeks.

Odds of my ACV option getting exercised

As of the market close today, Alberto-Culver stands exactly at $22.50—my option's strike price. I would expect the option to be exercised if the price ends a penny or two higher on Friday. This graph shows that (if the past is any guide) there is a better-than-even chance I'll be selling my shares.

The horizontal axis shows the range of gains and losses experienced by ACV shares over any two day period. The vertical axis is the odds that the price will increase by a certain percentage or greater in two days. So for a 0% or greater increase, the odds are 56% or so. Actually due to rounding errors there are more 0% gains in my data then there ought to be. (You will notice that the curve becomes vertical on the 0% line. That's not an optical illusion, but an artifact in the data.)

If the increase is 0.89% or greater, my option will lose money compared to simply selling the underlying stock on Friday. This graph shows that the odds are roughly 34% of taking a "loss" on the transaction.

Ideally, the shares will end somewhere between $22.50 and $22.70 so that I will sell the shares at a gain (odds ~ 22%). If that happens, I am ready to roll the proceeds into a new investment. If the option is not assigned, I might sell outright or (more likely) sell another covered call for April.

Odds of successful call writing

Earlier today, I wrote a call option on my ACV stake. At the time, I was more concerned about getting paid to sell than loosing out on gains. This afternoon, I took a look the odds of exceeding my break-even price at the end of the two weeks. I calculated that if miss out on any increase of beyond 1.89%. First, I grabbed all the closing prices for ACV and loaded them into an SQLite database. Then I counted the total number of two week periods in my dataset:

sqlite> select count(*)
   ...> from (select * from acv_prices a
   ...>       join acv_prices b
   ...>            on (julianday(b.date) = julianday(a.date) - 14));

5503

Next I counted the number of those periods in which the closing price increased by 1.89% or more:

sqlite> select count(*)
   ...> from (select (a.close-b.close)/b.close increase
   ...>       from acv_prices a 
   ...>       join acv_prices b
   ...>            on (julianday(b.date) = julianday(a.date) - 14))
   ...> where increase > 0.0189;

2088

Therefore, if the past is any indication of the future, there is a 38% (2088/5503) chance my option will be called for a loss.

One of my goals in writing the option was that I would like to sell my Alberto-Culver shares. It's likely that a 1% increase will result in my option being assigned, so I also took a look at the number of fortnights in which the stock increased by that percentage or more. I won't show the code, but it turns out that 2551, or 46% of the periods resulted in greater than 1% increases. And just for kicks, I looked at the odds ACV will loose value over the fortnight, which is 43%.

Overall, the odds for each scenario shakes out like this:

ACV	Option	Odds
Down	Expire	43%
Up	Expire	11%
Up	Excerised for gain	8%
Up	Excerised for loss	38%
Total		100%

Why I sold an Alberto-Culver call option

Today I sold a call option on part of my Alberto-Culver position. Between now and March 16, I may be required to sell shares at $22.50. I'd be happy with a higher price, obviously, but I'm getting eager to use that cash to pick up shares of other companies that I have more confidence in. My current combined ratio is 24.92%.