Odds & Ends

On one of my previous post regarding Alex from Moneyvidya posed a question to me and I quote him

“Are margins of safety not based on intrinsic values which can only be estimated from the fundamentals. Do you know of a way to create or measure a margin of safety for an investment which protects you from the possibility that all your knowledge of the fundamental properties of the security are incorrect?”

I think one of the most important things in investing or in all aspects of our lives is to understand the concept of probability and the potential payoff arising out a probable event.

When we buy a lottery ticket lets assume the following structure
Scenario 1

Price of ticket – Rs 1
No of participant - 100
Potential payoff = Rs 100 – Rs 10 ( Lottery provider’s fees) – Rs 20 ( Government taxes)= Rs 70

So for a probability of 1 in a 100 we have a potential payoff of 70 times.

The net payoff of this transaction is 1*(70) + 99*(-1) = -29

Most lotteries/ casinos are structured in such a manner where the participants lose money.

Scenario 2
Now let us assume that the lottery provider waived of his fees and the government its taxes and some benevolent donor added a extra Rs 25 to the kitty. Lets examine the structure now

Price of ticket – Rs 1
No of participant - 100
Donor contribution Rs 25
Potential payoff = Rs 100 + Rs 25 = Rs 125

So for a probability of 1 in a 100 we have a potential payoff of 125 times.
The net payoff of this transaction is 1*(125) + 99*(-1) = +26 times

In scenario 2 the odds are structured in our favour and hence a margin of safety is built in the trade. This need not necessarily mean that you will win the lottery but the odds are stacked in your favour.

Lets take this forward to stocks. When I evaluate stocks my starting point is management. What is the margin of safety in terms of management?. When I see a promoters personal yacht being put on the companies books it doesn’t necessarily mean the promoter will take the company down like Satyam but for me the odds are against me on this variable. There is a higher probability that the promoter will siphon out a bigger chunk on a latter date or indulge in corporate actions that is detrimental to shareholders.

I remember in one of my chats discussing real estate with one of my fellow bloggers and he telling me how can u expect ethical promoters in a business which is intrinsically unethical in India. It was a wonderful insight. So whether there is a problem today or not the odds are extremely high of encountering a black swan event in a real estate stock because of promoter action.

Will it happen? Not necessarily but the odds are stacked against you. To compensate for this is the margin of safety high enough on the financials in terms of intrinsic value to price and on a net off basis factoring both this variables is the odds in your favour.

Let us say that one has a portfolio of 10 stocks with positive payoffs on each stock. Lets look at the following structure

Number of stocks - 10
Probability of + returns on each stock - 60%
Probability of – returns on each stock - 40%
Can I eliminate a potential black swan event in a individual stock? The answer is no. To answer Alex’s question, we might encounter a black swan event in a single stock which cannot be eliminated but by building a margin of safety in each stock position one will on a overall portfolio basis achieve positive returns.