Arbitrage opportunities

Risk-free profits, often called arbitrage opportunities, can arise in various markets when mispricings occur. Here are some common scenarios across different financial instruments and strategies:

1. Arbitrage in Stock Markets

a. Market Mispricing

• Scenario: A stock trades at different prices on two exchanges.
• Action:
  • Buy the stock at the lower price on one exchange.
  • Simultaneously sell it at the higher price on the other exchange.
• Example: If Stock XYZ is $50 on NYSE and $51 on NASDAQ:
  • Buy at $50, sell at $51 for a risk-free $1/share.

2. Risk-Free Profits in Currency Markets (Forex Arbitrage)

a. Triangular Arbitrage

• Scenario: Discrepancy in exchange rates between three currencies.
• Action:
  • Convert Currency A to Currency B.
  • Convert Currency B to Currency C.
  • Finally, convert Currency C back to Currency A.
• Example:
  • EUR/USD = 1.2, USD/GBP = 0.75, EUR/GBP = 0.9.
  • Arbitrage profit exists if 1.2⋅0.75≠0.91.2 \cdot 0.75 \neq 0.91.2⋅0.75=0.9.

3. Fixed-Income Arbitrage

a. Interest Rate Arbitrage

• Scenario: Difference between domestic and foreign interest rates doesn’t align with currency forward rates (Covered Interest Rate Parity).
• Action:
  • Borrow in the low-interest-rate currency.
  • Convert to a high-interest-rate currency.
  • Invest in the high-interest-rate currency’s assets.
  • Lock in the forward exchange rate to avoid currency risk.
• Outcome: Risk-free profit from the interest rate differential.

4. Index Arbitrage

Scenario: Futures prices for an index are inconsistent with the underlying stock basket price.

• Action:
  • Buy the basket of stocks making up the index.
  • Sell index futures (or vice versa, depending on mispricing).
• Outcome: The spread narrows, and you lock in a profit.

5. Convertible Arbitrage

Scenario: A convertible bond’s price is misaligned with its underlying stock.

• Action:
  • Buy the underpriced convertible bond.
  • Short the corresponding amount of the underlying stock.
• Outcome: Profit from mispricing when the bond converges with the stock’s value.

6. Dividend Arbitrage

Scenario: A stock is about to pay a dividend, but options on that stock don’t reflect the dividend payment.

• Action:
  • Buy the stock before the ex-dividend date.
  • Hedge with a synthetic short position using options.
• Outcome: Profit from the dividend while hedging stock price risk.

7. Statistical Arbitrage (Pairs Trading)

Scenario: Two highly correlated stocks deviate from their historical relationship.

• Action:
  • Short the overperforming stock.
  • Buy the underperforming stock.
• Outcome: When prices converge, unwind positions for a profit.

8. Merger Arbitrage

Scenario: A merger or acquisition announcement creates a price difference between the target’s stock and the offer price.

• Action:
  • Buy the target company’s stock.
  • Hedge by shorting the acquirer’s stock (if the acquisition involves stock).
• Outcome: Profit when the deal closes at the stated terms.

9. ETF Arbitrage

Scenario: An exchange-traded fund (ETF) deviates from its net asset value (NAV).

• Action:
  • Buy the underpriced ETF.
  • Sell the basket of underlying assets (or vice versa).
• Outcome: Profit as the ETF price converges with its NAV.

10. Volatility Arbitrage

Scenario: Implied volatility in options misprices relative to realized volatility.

• Action:
  • Buy options if implied volatility is too low.
  • Hedge using the underlying stock.
• Outcome: Profit when realized volatility aligns with expectations.

Limitations of Arbitrage

1. Transaction Costs: Brokerage fees, taxes, and spreads can erode profits.
2. Execution Risk: Delays in trades may lead to losses.
3. Market Efficiency: In highly efficient markets, arbitrage opportunities are fleeting.
4. Capital Requirements: Some strategies require significant initial capital.