## Volatility and price differentiation

In a rather surreal interview to the rather fantastically named Aurangzeb Naqshbandi and Hindustan Times editor Sukumar Ranganathan, Congress president Rahul Gandhi has made a stunning statement in the context of agricultural markets:

Markets are far more volatile in terms of rapid price differentiation, than they were before.

I find this sentence rather surreal, in that I don’t really know what Gandhi is talking about. As a markets guy and a quant, there is only one way in which I interpret this statement.

It is about how market volatility is calculated. While it might be standard to use standard deviation as a measure of market volatility, quants prefer to use a method called “quadratic variation” (when the market price movement follows a random walk, quadratic variation equals the variance).

To calculate quadratic variation, you take market returns at a succession of very small intervals, square these returns and then sum them up. And thinking about it mathematically, calculating returns at short time intervals is similar to taking the derivative of the price, and you can call it “price differentiation”.

So when Gandhi says “markets are far more volatile in terms of rapid price differentiation”, he is basically quoting the formula for quadratic variation – when the derivative of the price time series goes up, the market volatility increases by definition.

This is what you have, ladies and gentlemen – the president of the principal opposition party in India has quoted the formula that quants use for market volatility in an interview with a popular newspaper! Yet, some people continue to call him “pappu”.

## The Congress Party is a bubble

I think the congress party is a bubble. From what I’ve observed of the party in the last 10-15 years, they have no real ideology other than “loyalty to the Nehru-Gandhi family”. In other words, they have grown and flourished significantly without having any strong fundamentals. Which means they are in a bubble.

Let’s say you are a congressman and for whatever reason you were pissed off with Rahul Gandhi following his interview with Arnab Goswami on Monday. Now, because the uniting ideology in the party is “devotion to the family”, you cannot come out in criticism of the family or one of its members. If you do, you get hounded by other Congressmen, whose loyalty to the party is chiefly due to loyalty to the family.

Now, imagine a large number of congressmen think thus. If they had a way to communicate to each other about their displeasure with the family, they would come together and raise a no confidence motion against the party leadership. However, the problem is that no Congressman wants to let it be known in the party that he doesn’t like the family, for he can be accused of betrayal and removed from the party. Hence he keeps his thoughts to himself. That he keeps his thoughts to himself means that other congressmen who feel the same way also keep their similar thoughts to themselves, and the general discourse is that all congressmen are loyal to the family.

So why is “the family” is so powerful in the Congress? The answer is that the family is powerful because Congressmen think the family is powerful. A congressman thinks that his career in the party will be furthered if he is seen as being loyal to the family. So irrespective of his opinion, he puts up a facade of being loyal, and that increases the value of being loyal to the family!

A commodity is said to be in a bubble if its price is being driven up solely because other players in the market think that its price is going to be driven up, without the fundamentals being in favour of an increase in prices. You can think of “the family” of the Congress as one such commodity. Congressmen like to praise the family (i.e. go long the commodity) because they think everyone else in the Congress is doing the same, and thus the “price” is going to increase.  You can see the cycle of positive reinforcement that is at play here.

Like all bubbles, the Congress Party bubble is also bound to burst. And like other burst bubbles, this one is likely to end badly for the party – a split in the party cannot be ruled out in the period immediately after the bubble is burst.

The problem with bubbles, however, is that you don’t know when it will burst – anyone who can predict when a bubble can burst would be an extremely rich person. And you don’t want to be shorting a stock thinking the bubble might burst, only for the bubble to continue. And so you continue to dance, for the music is still playing.