{ "id": "ea90369c-2699-5058-8c33-481a2b99b565", "slug": "bull-spread", "term": "Bull Spread", "aliases": [], "category": "Derivatives & Options", "category_slug": "derivatives-options", "difficulty": "basic", "definition": "A bull spread is a multi-leg options strategy designed to profit from a moderate rise in the price of an underlying asset, constructed by buying an option at a lower strike price and simultaneously selling an option of the same type (call or put) at a higher strike price, with the same expiration date. The strategy caps both the maximum profit and maximum loss, making it a defined-risk, defined-reward position.", "key_takeaways": [ "A bull call spread is established by buying a call at a lower strike (K1) and selling a call at a higher strike (K2); maximum profit = K2 − K1 − Net Premium Paid; maximum loss = Net Premium Paid.", "A bull put spread achieves the same directional exposure differently: selling a put at K2 (higher strike) and buying a put at K1 (lower strike); maximum profit = Net Premium Received; maximum loss = K2 − K1 − Net Premium Received.", "Bull spreads reduce the cost of a directional options trade by selling away the upside above the higher strike — appropriate when an investor expects moderate, not unlimited, upside.", "The breakeven price for a bull call spread is K1 + Net Premium Paid; the position begins generating profit above this price and reaches maximum profit at or above K2.", "Time decay (theta) works against a bull call spread when the underlying is below K1, and works in favor of a bull put spread since the trader is net short premium." ], "detailed_explanation": "Bull spreads are among the most common options strategies used by institutional and retail traders to express moderately bullish views while controlling premium expenditure and defining risk. The key trade-off is giving up unlimited upside above the short strike in exchange for reducing the net premium paid (bull call) or receiving net premium upfront (bull put).\n\nFor a bull call spread with strikes K1 and K2 (K1 < K2) and the same expiration T: the trader pays a net debit of C(K1) − C(K2), where C(K1) > C(K2) since lower-strike calls are worth more. The payoff at expiration is: 0 if S(T) ≤ K1; [S(T) − K1] if K1 < S(T) < K2; [K2 − K1] if S(T) ≥ K2. The maximum gain is therefore (K2 − K1) − net premium paid, achieved when the underlying closes at or above K2. The maximum loss is limited to the net premium paid, suffered when the underlying closes at or below K1.\n\nA bull put spread achieves the same economic exposure through different mechanics. Selling the higher-strike put (K2) receives more premium than buying the lower-strike put (K1), resulting in a net credit. The position profits when the underlying remains above K2 at expiration (both puts expire worthless, the trader keeps the net credit). Maximum loss occurs if the underlying falls below K1 (the spread is at its maximum width). This structure is particularly popular for yield enhancement — traders sell out-of-the-money bull put spreads on indices they believe will not decline significantly, collecting premium while defining their maximum downside.\n\nStrike selection is the primary lever for calibrating a bull spread's risk-reward profile. Placing strikes closer together (tight spread) reduces both the maximum profit and the maximum loss relative to a wider spread — this is appropriate when the trader has a high-conviction view about the expected price range. Wider spreads have higher maximum gains but cost more premium (or generate less net credit). Many institutional options traders select spreads such that the expected value — probability of full profit multiplied by maximum gain, minus probability of full loss multiplied by maximum loss — is positive, using options models to estimate probability distributions.", "example": "An options trader expects Apple (AAPL) to rise from its current $190 to somewhere in the $200–$215 range over the next 60 days but does not want to pay full premium for outright calls. AAPL 60-day $195 calls trade at $5.00 and $210 calls trade at $1.50. The trader buys the $195/$210 bull call spread for a net debit of $3.50 per share ($350 per contract). If AAPL closes at $210 or above at expiration: maximum gain = $210 − $195 − $3.50 = $11.50 per share ($1,150 per contract). If AAPL closes at $190 or below: maximum loss = $3.50 per share ($350 per contract). Breakeven = $195 + $3.50 = $198.50. The maximum risk-reward ratio is 3.29:1, superior to buying the $195 call outright ($5.00 premium, same upside if AAPL stays below $215).", "formula": "Bull Call Spread Max Profit = (K2 − K1) − Net Premium Paid\nBull Call Spread Max Loss = Net Premium Paid\nBreakeven = K1 + Net Premium Paid\nBull Put Spread Max Profit = Net Premium Received\nBull Put Spread Max Loss = (K2 − K1) − Net Premium Received", "formula_latex": null, "interactive_type": "calculator", "calculator_id": null, "related_terms": [ "exchange", "expiration-date", "knock-out-option", "option", "out-of-the-money", "premium", "spot-month", "strike-price", "theta", "variation-margin", "yield" ], "backlinks": [ "back-spread", "butterfly-spread", "caplet", "class-of-options", "margin", "put-call-parity", "spot-month", "volatility-swap" ], "cross_references": [ "exchange", "expiration-date", "option", "out-of-the-money", "premium", "strike-price", "yield" ], "tags": [ "level:basic", "cat:derivatives-options" ], "asset_classes": [ "derivatives" ], "regulators": [], "see_also": [], "sources": [], "wordcount": 741, "checksum": "e2f1666a9d0750da", "version": "2026.05.03", "license": "CC-BY-4.0", "updated_at": "2026-09-07T02:15:24+00:00", "_links": { "self": "https://hedgefund.wiki/api/v1/terms/bull-spread", "jsonld": "https://hedgefund.wiki/api/v1/terms/bull-spread?format=jsonld", "markdown": "https://hedgefund.wiki/api/v1/terms/bull-spread?format=md", "graph": "https://hedgefund.wiki/api/v1/graph/bull-spread", "category": "https://hedgefund.wiki/api/v1/categories/derivatives-options", "schema": "https://hedgefund.wiki/schema/term.schema.json", "html": "https://hedgefund.wiki/#/terms/bull-spread" } }