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Option Pricing Determinants – Spot Price, Strike Price, Time, Volatility

1. Introduction

Why is the premium for a Call Option ₹100 today and ₹120 tomorrow? The price (Premium) depends on 5 key factors.


2. The 5 Determinants

A. Spot Price of Underlying (S)

  • Call: If Spot Price rises, Call Premium Rises. (Closer to profit).
  • Put: If Spot Price rises, Put Premium Falls. (Further from profit).

B. Strike Price (X)

  • Call: Higher Strike Price = Lower Premium. (Harder to reach).
  • Put: Higher Strike Price = Higher Premium. (Easier to sell high).

C. Time to Expiry (t)

  • Logic: More time means more chance for things to happen.
  • Impact: Longer time = Higher Premium for both Call and Put.
  • Note: As expiry nears, premium erodes (Time Decay).

D. Volatility (σ / Sigma)

  • Logic: High volatility means wild swings (high chance of huge profit).
  • Impact: Higher Volatility = Higher Premium for both Call and Put.
  • Note: This is the most crucial factor.

E. Risk-Free Interest Rate (r)

  • Impact: Higher rates slightly increase Call premiums and decrease Put premiums.

3. Summary Table

FactorEffect on Call PremiumEffect on Put Premium
Spot Price (Increase)Increases ⬆️Decreases ⬇️
Strike Price (Increase)Decreases ⬇️Increases ⬆️
Time (Increase)Increases ⬆️Increases ⬆️
Volatility (Increase)Increases ⬆️Increases ⬆️

4. Exam Notes: Writing the Answer

Question: "Discuss the factors affecting Option Premium." (10 Marks)

Answering Structure:

  1. List: Bullet point the 5 factors (S, X, T, Sigma, r).
  2. Explain: For each, write one line on "Why" and one line on "Direction" (Increases/Decreases).
  3. Highlight: Mention that Volatility is unique to options (doesn't affect Forwards much).

5. Quiz Time! 🎯

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