Conversion

Arbitrage & Synthetic Positions Expert United Kingdom FTSE100 UK100 BP HSBA VOD BARC LLOY AZN SHEL GSK

Directionally neutral - profit comes from mispricing, not market movement

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Quick Reference

Strategy Type Arbitrage / Synthetic Position - Locks in risk-free profit from put-call parity violations
Market Outlook Directionally neutral - profit comes from mispricing, not market movement
Risk Profile Theoretically zero market risk when properly executed; early assignment risk on American options
Reward Profile Small, fixed return based on mispricing or interest rate differential
Time Horizon Held to expiration for guaranteed payout
Iv Environment IV irrelevant - position is vega neutral
Breakeven N/A - guaranteed outcome at expiration (when correctly priced)
Alternative Names Conversion Arbitrage, Long Conversion, Forward Conversion

Payoff Profile

The Conversion payoff is a FLAT LINE at expiration - the same value regardless of where the stock ends up. You've locked in a specific value. • Put is exercised, sell stock at strike K. Call expires worthless. • Call is assigned, sell stock at strike K. Put expires worthless. • You sell stock at strike K regardless of market price

United Kingdom Market Details

Primary Instruments UK Single Stock Options with underlying shares; FTSE 100 stocks with liquid options
Fca Compliance Complex instrument; primarily used by institutions and professional traders
Contract Size 1,000 shares for UK equity options
Trading Hours 08:00 - 16:30 GMT (LSE hours)
Expiry Options Monthly expiries (3rd Friday); some stocks have weekly options
Settlement Physical delivery for equity options (shares delivered/received)
Margin Requirements Reduced margin as position is hedged; broker must recognise the structure
Stamp Duty 0.5% stamp duty on share purchase is a SIGNIFICANT COST that affects arbitrage economics
Dividend Consideration CRITICAL - must account for dividends when calculating fair value
Early Assignment Risk American-style stock options can be assigned early, especially around ex-dividend
Practical Use Rare for retail due to stamp duty and transaction costs; used by market makers and institutions
Tax Treatment Complex - involves share ownership, option gains/losses. Consult tax advisor.
Risk Warning While theoretically riskless, practical risks include: execution risk, early assignment (American options), dividend timing, stamp duty costs, and transaction costs often exceeding profits for retail traders.

Frequently Asked Questions

What's the difference between a Conversion and simply selling covered calls?

Covered call = Long stock + Short call (still have downside risk, upside capped). Conversion = Long stock + Long put + Short call (completely riskless - protected both ways). The put in a conversion removes all stock risk, creating a guaranteed outcome.

If conversions are risk-free, why doesn't everyone do them?

Transaction costs! Stamp duty (0.5% in UK), commissions, bid-ask spreads typically exceed the tiny arbitrage profit. Market makers can profit because they're exempt from stamp duty and trade at mid prices. For retail, the 'risk-free profit' becomes a certain loss after costs.

Do I receive dividends in a conversion?

Yes, you own the stock, so you receive dividends. HOWEVER, this is already priced into the conversion fair value. The dividend isn't extra profit - it's expected. The risk is if the dividend is different than expected, or if you're assigned on the short call before ex-date and miss it.

What happens at expiration in a conversion?

You sell your stock at the strike price, guaranteed. Below strike: Exercise your put to sell at K. Above strike: Your call is assigned, delivering stock at K. Either way, you receive the strike price for your stock.

Can I lose money on a conversion?

Yes! Not from market risk (that's eliminated), but from: (1) Transaction costs exceeding theoretical profit, (2) Early assignment causing you to miss dividend, (3) Dividend being different than expected, (4) Execution slippage. The 'risk-free' label assumes perfect execution and known dividends.

How do I calculate the implied interest rate of a conversion?

r = -ln(Conversion Cost / Strike) / T. For example: Conversion costs 496p, Strike is 500p, 60 days to expiry. r = -ln(0.992) / (60/365) = 0.008 / 0.164 = 4.9% annualized. Compare this to the risk-free rate to assess if the conversion is fairly priced.

When is early assignment most likely on the short call?

Early assignment is most likely when: (1) Call is deep in-the-money, (2) Ex-dividend date is approaching, (3) Time value of the call is less than the dividend. The call holder exercises to capture the dividend. This can destroy your conversion profit if you miss the dividend.

What's the relationship between conversions and reversals?

They're mirror images. Conversion: Long Stock + Long Put + Short Call (locks in selling at K). Reversal: Short Stock + Long Call + Short Put (locks in buying at K). If one is overpriced, the other is underpriced. Market makers do whichever is profitable.

How does stamp duty specifically kill conversion profits?

Example: Stock at 500p, theoretical profit is 8p. Stamp duty = 500 × 0.5% = 2.5p. Commissions and spreads = 6p. Total costs = 8.5p. Profit = 8p - 8.5p = -0.5p LOSS. The 0.5% stamp duty alone often exceeds the entire theoretical arbitrage profit.

Can I use conversions on FTSE 100 index options?

Yes, but it's structured differently. Index options are cash-settled, so there's no 'stock' to hold. You'd use futures + options, or construct the position differently. The arbitrage relationship still exists but implementation differs. Box spreads are more common for index arbitrage.

How do institutions use conversions for balance sheet management?

Conversions can have different accounting treatment than outright stock positions. A hedged position may: (1) Qualify for hedge accounting, (2) Have reduced regulatory capital requirements, (3) Have different P&L recognition timing. Treasury teams consider these implications when deciding between conversions and other strategies.

What's the relationship between conversion pricing and the cost of borrowing stock?

For hard-to-borrow stocks, the conversion may trade below theoretical fair value. Why? The synthetic short embedded in the conversion (short call + long put) provides short exposure without needing to borrow. This is valuable when borrow costs are high, so people pay up for conversions.

How does a merger announcement affect an existing conversion?

Depends on deal structure. Cash deal: Stock becomes worth deal price, options adjusted. Your conversion now reflects different economics. Stock deal: Complex option adjustments for exchange ratio. In either case, the 'risk-free' nature may become less clear during the transition. You need to re-evaluate the position under new terms.

What are the Basel III implications for conversion positions?

Under Basel III, hedged positions may receive reduced risk-weighted asset (RWA) treatment. A conversion should theoretically be near-zero RWA as it has no market risk. However, the institution must demonstrate: (1) Perfect hedge relationship, (2) No basis risk, (3) Proper documentation. Early assignment risk may limit the capital benefit.

How do dividend swaps affect conversion arbitrage?

Dividend swaps allow trading expected vs. actual dividends. If you're uncertain about dividends in a conversion, you could hedge with a dividend swap. Alternatively, mispricing between conversion fair value (using consensus dividend) and dividend swap pricing could create cross-market arbitrage. This is institutional territory.

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