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Hard to borrow

A stock with limited lendable supply, where a short seller must obtain a specific locate, pay an elevated and volatile fee, and accept the risk of being recalled.

When shares are scarce, borrow rates rise from near zero to double digits annually. That cost has to appear somewhere, and it appears in the options: puts get expensive relative to calls, and put-call-parity appears to break until you include the borrow.

Two practical consequences. First, a synthetic-short-stock in a hard-to-borrow name is not free money — the cost is baked into the quotes. Second, an assignment that leaves you short shares can trigger a forced buy-in at any time.

Example: XYZ at $50 with a 40% borrow rate. The 90-day $50 put trades $2.10 above the call rather than at parity. That $2.10 is roughly 40% annualised on $50 for 90 days — the borrow cost, expressed as an option price.

Related: synthetic-short-stock, reversal-arbitrage, short-selling, put-call-parity

See it drawn

Original diagrams for the ideas on this page. Illustrative, not real market data.

Payoff of a long call at expiryA flat loss equal to the premium below the strike, turning upward at 45 degrees above it.Profit / loss per share08595115125Strike 105Max loss 3 — the premium paidBreakeven 108Profit keeps growingUnderlying price at expiry
Buying a call: payoff at expiry. A 105-strike call bought for 3 loses that whole 3 if the price finishes at or below 105, breaks even at 108, then gains a dollar for every dollar higher. The loss is capped at the premium; the upside is not capped.

Educational only, not advice. Spotted an error? Post in Site Feedback.