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Hedging & Income OutlookDefined Risk (100% Risk-Free)Advanced LevelArbitrage

Conversion (Arbitrage)

Buy stock, buy an ATM Put, and sell an ATM Call at the same strike to lock in risk-free mispricing arbitrage.

Ideal IV Regime
Neutral / Any IV
Capital Required
High Capital
Holding Duration
Held to Expiry
Breakeven Formula
Flat everywhere

Interactive Payoff Curve & Greeks Simulation

Visualize the theoretical profit & loss at expiry vs T+0 immediate day curves. Drag the simulation slider to stress-test your trade.

Interactive Payoff EngineRef: RELIANCE (@ ₹2,900)

Option Payoff Curve & Greeks

Lots:
Inspected Price
2,900
At Spot Price
P&L at Expiry
+3,750
Settlement Day Return
P&L Today (T+0)
+3,750
Immediate Move Est.
Breakeven Point(s)
N/A
Zero P&L Level
₹0Spot 290027003100
Expiry P&L
T+0 Line (Today)
Breakeven
Drag slider below to stress test price moves
Simulation Slider: ₹2,700Selected: ₹2,9003,100

Net Option Greeks (Sensitivity Profile)

Values per 1 Lot standard unit
Net Delta (Δ)Direction
0.00
₹ move per ₹1 underlying change
Net Theta (Θ)Time Decay
₹0
Daily decay erosion / accumulation
Net Vega (ν)Volatility
₹0
P&L impact per 1% IV shift
Net Gamma (Γ)Curvature
0.00
Rate of delta acceleration

Multi-Leg Position Structure (3 Legs)

ActionInstrument / StrikeTypeExpiryApprox DeltaEst. PremiumQty Ratio
BUYLong StockSTOCKLong Term+1.00₹29001x
BUY2,900 PEPUTMonthly Expiry-0.50₹601x
SELL2,900 CECALLMonthly Expiry+0.50₹751x
Quantitative Mechanics

How the Structure Works

Long Stock + Long Put replicates a Long Call, which offsets the Short Call perfectly.

A Conversion is a classic quantitative arbitrage strategy that exploits temporary mispricings in Put-Call Parity. By buying the stock, buying an ATM Put, and selling an ATM Call, you lock in a completely flat risk-free profit.

Strike Selection Criteria

Institutional Strike Selection Rules

1Deploy when Call Premium - Put Premium > Cost of Carry.
Execution Playbook

Phased Execution Blueprint

Follow this structured sequence to eliminate emotional hesitation during order entry, lifecycle management, and final exit.

Phase 1Step 01

Mispricing Scan

Scan algorithmically for Put-Call Parity dislocations.

Checklist:
Positive arbitrage delta

Interactive Margin & Position Size Calculator

Calculate exact lot sizing based on the 1-2% risk rule to preserve capital against Black Swan events.

Position Sizing & Margin Engine

Options Position Size & Max Risk Calculator

Total net liquid equity in your brokerage account

%

Recommended: 1.0% - 2.0% for disciplined longevity

Wing width max loss or defined mental/system SL

Max Risk Budget
4,500
1.5% of portfolio
Recommended Position Size
1 Lots (25 Qty)
Mathematically sized
Total Trade Max Loss
12,000
4.00% of total capital
Est. Margin Required
1,25,000
42% margin utilization
SEBI & NSE Risk Management Guideline:Never allocate more than 30% of total liquid capital to a single options expiration cycle, even with defined-risk spreads. Keep a minimum of 40% free cash buffer to accommodate sudden IV spikes, margin surges, or rolling adjustment requirements.
Capital Preservation

Rigorous Risk Rules & Adjustment Protocols

Non-negotiable parameters for stop-loss triggers, portfolio caps, and firefighting adjustments when market tests your strikes.

Stop-Loss Rule
Hold to expiry.
Max Risk Budget
Zero risk
Profit-Taking Trigger
Settled at expiry.
Adjustment & Firefighting Protocols
  • None.
Margin & Capital Guideline:

Arbitrage margin.

Real Trade Case Study

RELIANCE Conversion Arbitrage Trade Walkthrough

June 2024Full Win
Setup Context & Rationale

Put-Call Parity dislocated by ₹15.

Legs Executed & Fill Prices

Bought Stock @ ₹2,900 / Bought 2900 PE @ ₹60 / Sold 2900 CE @ ₹75

Key Post-Trade Takeaways
  • 100% risk-free arbitrage.
Trade Accounting
Capital Allocated:
₹7,25,000
Maximum Risk Allowed:
₹0
Realized Net P&L:
+₹3,750 risk-free profit

Common Mistakes to Avoid

Ignoring transaction fees and STT

Why it happens: Taxes eat small arbitrage spreads.

Solution: Factor in all exchange and brokerage fees.

Institutional Pro Tips

Executed primarily by high-frequency trading (HFT) firms via automated broker APIs.
Knowledge Base

Conversion (Arbitrage) FAQs

What is Put-Call Parity?

The fundamental mathematical equation: Stock Price + Put Price = Call Price + Present Value of Strike.

Alternative & Complementary Strategies

SEBI Regulatory Risk Warning:Trading in derivatives (Futures & Options) carries substantial risk of loss and is not suitable for all investors. A SEBI study revealed that 89% of individual traders in the equity F&O segment incurred net losses averaging ₹50,000 annually. Content provided here is strictly for educational, analytical, and quantitative learning purposes, and does not constitute investment advice or solicitation under SEBI (Investment Advisers) Regulations.