Tag: options

Forensics: NIFTY Options – Delta(δ)

Delta(δ) is a theoretical estimate of how much an option’s premium may change given a 1-point move in the underlying. For an option with a δ of .50, an investor can expect about a 50p move in that option’s premium given a Rs.1 move, up or down, in the underlying.

  • For purchased options owned by an investor, δ is between 0 and 1.00 for calls and 0 and -1.00 for puts.
  • As a call option goes deeper-in-the-money, δ approaches 1.00 on the increased likelihood the option will be in-the-money at expiration.
  • With an increase in implied volatility, δ gravitates toward .50 as more and more strikes are now considered possibilities for winding up in-the-money because of the perceived potential for movement in the underlying.
  • Low implied volatility stocks will tend to have higher δ for the in-the-money options and lower δ for out-of-the-money options.
  • At expiration an option either has a δ of either 0 or 1.00 with no time premium remaining.
  • As expiration nears, in-the-money call δs increase toward 1.00, at-the-money call δs remain around .50 and out-of-the-money call δs fall toward 0 provided other inputs remain constant.

Delta in action: March 2014 NIFTY Options Since Jan

First, lets look at the underlying:

NIFTY

To capture the full move of the NIFTY, you’ll have to look at, at least, a dozen strikes between 5950 and 6900.

δ of calls:

March 2014 NIFTY Delta (CE)

δ of puts:

March 2014 NIFTY Delta (PE)
 

Note how δs rip towards 0 or 1 as expiry approaches? Here’s an important intuition: in-the-money options will move more than out-of-the-money options, and short-term options will react more than longer-term options to the same price change in the stock.

Source: Understanding Delta

Forensics: NIFTY Options – Theta(θ) Decay

The most intuitive option greek is theta (θ) – a measurement of the option’s time decay. Theta measures the rate at which options lose their time value, as the expiration date draws nearer. It is usually expressed as a negative number.

Simply put, theta of an option reflects the amount by which the option’s value will decrease every day.

Time and Theta

  1. Longer term options have theta of almost 0 as they do not lose value on a daily basis.
  2. Theta is higher for shorter term options.
  3. Theta is higher for at-the-money options.
  4. Theta changes at an exponential rate. It goes up dramatically as options near expiration as time decay is at its greatest during that period.

Theta decay in action: March 2014 NIFTY Options Since Jan

First, lets look at the underlying:

NIFTY

To capture the full move of the NIFTY, you’ll have to look at, at least, a dozen strikes between 5950 and 6900.

θ of Calls:

March 2014 NIFTY Theta (CE)

θ of Puts:

March 2014 NIFTY Theta (PE)

Does it mean that you should go out and sell the heck out of every option you can find close to expiry?
 
No! As expiration gets closer, the risk posed by extreme amounts of gamma outweighs the theta you’re collecting.
 
Stay tuned for more.
 

Forensics: NIFTY Options

Charting options is a tough task. The price of the option is probably the last thing that is important. Implied volatility (IV), underlying volatility (σ) and option greeks play a big part in putting on successful option trades. We ran a tool that we developed on ATM Nifty options that tries to capture most of these moving parts.

2013-01-31 Nifty Call Analysis

Observe:

  • Theta (θ) declines.
  • Vega declines.
  • Rho converges to zero.
  • Call Delta is, on an average, around 0.54 (std. dev. of 0.075)
  • Call IV has been stable and decreasing since January this year: (0.150260, 0.149456, 0.147249, 0.136280)

Nifty Call Delta and IV

Nifty Put Delta and IV

March 2014 charts

Calls
2014-03-27.CE

Puts
2014-03-27.PE

Pictures say a thousand words, don’t they? Stay tuned for more.

Buffett’s $1 billion bet on a basketball contest

We had discussed how an options trader can think of himself as The One Man Insurance Company (TOMIC.) Now Warren Buffett has gone out and insured a $1 billion basket ball contest.

The contest

The National Collegiate Athletic Association’s (NCAA’s) tournament consists of 63 games. A contestant who accurately predicts the outcome of each of those games wins $1 billion. The contest is sponsored by Quicken Loans. Warren Buffett’s Berkshire Hathaway has insured the prize money.

The ods

A blind guess has a one in 9.2 quintillion chance of winning.

If the average person submitting a bracket had a 78.6% chance of getting each game right, and the maximum 10 million people sent in their brackets. What is the likely number of correct brackets? One.

Buffett keeps the premium

Aleph Blog:

Every tournament has significant upsets. Someone who has a good understanding of how good the teams are will know how to pick the most likely team to win. It is tough to pick the upsets, and tougher to pick all of the upsets. There is no good model for upsets, or they wouldn’t be upsets.

 

This is the proverbial “fat pitch” of options trading. The chances of winning are so low but the payoff is so large, that both the option buyer and the option seller can agree on a reasonable premium and get the deal done.

Sources:

Tough for Buffett to Lose this One
Warren Buffett Bets $1B You Won’t Pick Perfect NCAA Tournament Bracket

The One Man Insurance Company

I am recently reading a book bombastically titled “The Option Trader’s Hedge Fund” (Amazon). In that the author says that the best way to look at option trading is to think of it as an insurance business. So if you are an options trader, you should think of yourself as The One Man Insurance Company (TOMIC).

TOMIC

It sort of makes sense because what you are doing when you are trading options anyways? You are buying and selling insurance of some kind with different co-pays and terms. If you are hedging your positions then you are “reinsuring”, etc.

The chapter on volatility was insightful. It discusses the impact of ATM options price in the near term, volatility skew, and term structure on implied volatility. Its a useful framework to have.

Overall, its an interesting book that’s worth a read.