Straddle & Strangle Calculator
OPTIONS · DERIBIT BTC/ETH · COIN-SETTLED MULTI-LEG PAYOFF MATH
Combined P&L, both breakeven prices, and max loss/profit for a long or short Deribit BTC/ETH straddle or strangle.
Underlying
Position
Set call strike = put strike for a straddle; set them apart for a strangle. Both legs go the same direction — enter each leg's own premium the way Deribit quotes it.
What is a straddle or strangle?
A straddle buys (or sells) both a call and a put at the same strike; a strangle does the same at two different strikes (call strike above the put strike). Both bet on volatility rather than direction — a long straddle/strangle profits from a big move either way, a short one profits from price staying inside a range. This calculator uses the same coin-settled Deribit BTC/ETH math as the single-leg payoff calculator, just summed across both legs.
The formulas
- Combined intrinsic = max(0, S − Kc) / S + max(0, Kp − S) / S
- Long P&L = (combined intrinsic − total premium) × quantity; short flips the sign
- Upper breakeven: S = Kc / (1 − total premium)
- Lower breakeven: S = Kp / (1 + total premium)
Worked example
Long a BTC straddle, strike $80,000, call premium 0.03 BTC, put premium 0.025 BTC:
- At $100,000: call intrinsic = 0.20 BTC → P&L = 0.20 − 0.055 = 0.145 BTC
- At $40,000: put intrinsic = 1.00 BTC → P&L = 1.00 − 0.055 = 0.945 BTC
- At exactly $80,000: both legs worthless → P&L = −0.055 BTC (max loss)
Notice the down-move pays off far more than the equivalent up-move — a direct consequence of coin settlement: a call's payoff is capped below 1 coin per unit, but a put's is unbounded as price falls toward zero.
Where to go next
Only want one leg, not a volatility bet? Use the single-leg Payoff Calculator. Selling premium against coin you already hold instead? Try the Covered Call Calculator.
Use via API or MCP
This calculation is available as a deterministic API call — useful for bots or AI agents pricing multi-leg option payoffs without re-deriving the coin-settlement math themselves.
What's the difference between a straddle and a strangle?
A straddle uses the same strike for both the call and put leg. A strangle uses two different strikes — the call struck above the put. A strangle is cheaper to open (further out of the money) but needs a bigger move to profit.
Why does a big down-move pay off more than an equivalent up-move?
Deribit's BTC/ETH options settle in the underlying coin, and a call's coin-denominated payoff is capped below 1 coin per unit as price rises, while a put's is unbounded as price falls toward zero. That asymmetry carries straight through to a straddle or strangle built from those legs.
What's the max loss on a long straddle or strangle?
The total premium paid for both legs — it's flat across the whole range between the two strikes (or the single strike, for a straddle), since both legs expire worthless there.
Does this handle more than two legs, like an iron condor?
Not yet — this covers exactly two legs (a straddle or strangle). Four-leg strategies aren't currently supported.