How does the option price change with the stock price?

How does the option price change with the stock price?

 


When you’re trading options, you’ll notice their prices dance up and down with the movement of the stock. But how does that work exactly? Let me break it down in simple terms.

1. Intrinsic Value: The "Core" Worth of the Option

Imagine a call option as a ticket to buy a stock at a specific price, say ₹100. If the stock is trading at ₹120, that ticket is worth ₹20 right now, this is the intrinsic value.

  • Calls: If the stock price rises above the strike price, the call option becomes more valuable.
  • Puts: For puts, it’s the reverse, if the stock falls below the strike price, the option gains value.

If the stock isn’t above ₹100 for a call (or below for a put), the option doesn’t have intrinsic value. But don’t worry, it’s not worthless (yet), thanks to something called time value.

2. Time Value: The "What If?" Premium

Options have an expiration date, so the price also reflects the possibility that the stock might move favorably before the deadline. This is called the time value, it’s like paying extra for hope.

Let’s say the stock is at ₹100 and your ₹110 call option is trading at ₹2. That ₹2 is all time value because the option doesn’t have intrinsic value (the stock hasn’t hit ₹110 yet). But if the stock starts climbing, that hope turns into real value.

3. Volatility: The Stock’s "Mood Swings"

Volatility is like the spice in option pricing. If a stock is known to make big moves (up or down), the option price goes up, even if the stock hasn’t moved yet. Why? Because there’s a higher chance something dramatic might happen.

  • High Volatility: The option’s price balloons because anything feels possible.
  • Low Volatility: The option’s price deflates since the stock is likely to stay quiet.

4. Delta: How Much Does the Option Move?

Delta is like a sensitivity meter. It tells you how much the option price will change if the stock moves ₹1.

  • delta of 0.50 for a call means if the stock moves up ₹1, the option price will increase by ₹0.50.
  • Deep in-the-money options (where the stock price is way above the strike for calls or way below for puts) have deltas closer to 1. Their price changes almost in sync with the stock.

For example, if your option has a delta of 0.50 and the stock jumps ₹5, your option price might go up by ₹2.50 (₹5 x 0.50).

5. Market Activity: The Human Factor

The options market itself can push prices around. If everyone’s buying calls, the price goes up due to demand. Similarly, if traders rush to buy puts, it might add selling pressure to the stock as market makers hedge.

Example to Tie It Together

Let’s say:

  • Stock Price: ₹150
  • Call Option Strike: ₹140
  • Premium: ₹15 (₹10 intrinsic + ₹5 time value)

Now, if the stock jumps to ₹160:

  • The intrinsic value becomes ₹20 (₹160 - ₹140).
  • The option price might rise to ₹22, but the time value will shrink a bit because expiration is closer.

So in short, stock price changes directly affect an option’s intrinsic value. Add time value, volatility, and market sentiment into the mix, and you get the full picture of why option prices can feel like a rollercoaster.

Hope that clears things up! Let me know if you’ve got more questions.

Post a Comment

Previous Post Next Post