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Advanced Option Lessons

A hands-on options curriculum covering real trading concepts. Read the lessons, work through examples, and test your knowledge.

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Module 19: Global Arbitrage & Event-Driven TradingAdvanced 20 Min

Lesson 2: 19.2: Convertible Bond Arbitrage & Delta-Neutral Volatility Trading

Deconstruct convertible bond pricing, embedded equity options, delta-neutral hedging, gamma trading, and credit risk.

1. Structure of Convertible Bond Arbitrage

Convertible bonds are corporate bonds that can be converted into a fixed number of equity shares.

Convertible Arbitrage involves buying the underpriced convertible bond and shorting the underlying common stock to isolate the embedded equity option.

★ Delta-Neutral Hedging: The short stock position is sized to the bond's share-equivalent delta: Short Shares = Number of Bonds × Conversion Ratio (shares per bond) × Delta.

2. Gamma Trading & Credit Protection

As the underlying stock price fluctuates, the arbitrageur dynamically rebalances the short hedge (gamma trading)—selling stock as it rises and buying stock as it falls.

Credit risk is hedged using Credit Default Swaps (CDS).

A flow diagram with the boxes Convertible bond, Equity sensitivity, Short-stock hedge, Delta changes and Hedge rebalance
Follow the arrows: Convertible bond → Equity sensitivity → Short-stock hedge → Delta changes → Hedge rebalance. Hedge shares = number of bonds × shares per bond (the conversion ratio) × the bond's delta, or the total share-equivalent delta directly. Nothing here is risk-free.
Interactive Option Simulation Lab

Options Structure Exploration

LAB SIMULATOR ACTIVE

Options are contracts cleared in the bid-ask auction market. Interact with the Order Book below to understand how buy offers (bids) and sell offers (asks) intersect, and inspect the structural breakdown between Call and Put contracts.

Limit Order Book & Spread Interface
SELLERS (ASK)$2.1523 Contracts
$2.12 | 15 Contracts
BID-ASK SPREAD: $0.10
Mid-Price: $2.10
$2.08 | 41 Contracts
BUYERS (BID)$2.0554 Contracts

Hover over ASK or BID to dissect the auction market dynamics.

CALL OPTION
Right to Buy
  • Outlook: Bullish (Goes up)
  • Risk: Capped to premium paid
  • Profit: Scales as stock surges
Delta: Positive (0.00 to +1.00)
PUT OPTION
Right to Sell
  • Outlook: Bearish (Goes down)
  • Risk: Capped to premium paid
  • Profit: Scales as stock falls
Delta: Negative (0.00 to -1.00)

KNOWLEDGE RECONNAISSANCE

Q01.

How does a convertible bond arbitrageur establish a initial delta-neutral position?

Signal Desk is where you practice this on real stocks: real option chains (about 15 minutes delayed), the Trade Check and a paper-trading account that risks no real money. Join to add it, your progress tracking and PDF downloads.

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