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Ratio Call Spread: Low-Cost Upside with Uncovered Rally Risk

For educational purposes only; not investment advice.

Direct answer

Section titled “Direct answer”

This article defines a 1-by-2 ratio call spread as buying one call at lower strike K_L and selling two calls at higher strike K_H, all with one expiration and K_L < K_H. One long call offsets only one short call; above K_H, the position has the economic tail of one uncovered short call.

The second sale can reduce the debit or create an entry credit. In exchange, the position has a narrow preferred outcome: moderate appreciation toward K_H. A sufficiently large rally produces losses that grow without a fixed upper bound. It is therefore not simply a “cheaper bull call spread.”

Ratio-spread terminology varies. Some platforms reverse the quantities or call the opposite structure a backspread. Always record signed quantities before analyzing the name.

Piecewise expiration payoff

Section titled “Piecewise expiration payoff”

Let C be net credit per share; use negative C for a debit. Expiration profit per share is:

Π(S_T) = max(S_T−K_L,0) − 2max(S_T−K_H,0) + C

  • S_T ≤ K_L: every call expires worthless; profit is C.
  • K_L < S_T ≤ K_H: only the long call has intrinsic value; profit rises to K_H − K_L + C.
  • S_T > K_H: profit is 2K_H − K_L − S_T + C; every further dollar of rally reduces profit by one dollar.
  • The upper breakeven is 2K_H − K_L + C.

Maximum expiration profit occurs at K_H. Upside loss is theoretically unlimited because the underlying has no fixed ceiling. Before expiration, net Delta, Gamma, Theta, and Vega vary with spot and skew. As price rises through the short strike, the position can become increasingly short Delta and negative Gamma.

A 100/105 one-by-two ratio spread

Section titled “A 100/105 one-by-two ratio spread”

With the stock near 100, buy one 100 call, sell two 105 calls, and receive a 1.00 net credit. With a 100-share multiplier and before fees:

Stock at expiration Option payoff per share Profit/loss per share Position profit/loss
90 or 100 0 1 +$100
104 4 5 +$500
105 5 6 +$600
110 0 1 +$100
111 −1 0 $0
120 −10 −9 −$900
150 −40 −39 −$3,900

Maximum profit is $600 at 105, and the upper breakeven is 111. Above 111, each additional $1 rise creates another $100 loss for the one-by-two package. The $100 entry credit is not a measure of maximum risk.

If the spread opens for a debit, substitute a negative C: profit below K_L becomes that debit loss, peak profit falls, and the upper breakeven moves lower. Actual combination price must be used.

Risk and implementation checklist

Section titled “Risk and implementation checklist”
  • Verify +1/−2 quantities, one expiration, multiplier, and debit or credit. Reversing the ratio reverses the rally tail.
  • Calculate the upper breakeven and losses far above it; do not stop the risk graph at the highest strike.
  • Confirm uncovered-call approval, buying power, and broker liquidation policy. Margin can rise rapidly during a rally.
  • Use a multi-leg limit order. Partial fills can leave two naked calls or another unintended position.
  • American-style short calls can be assigned before expiration, especially when deep in the money or around an ex-dividend date.
  • Assignment of one short leg can create short shares while the remaining options persist; the long call is not exercised automatically to repair the package.
  • Plan pin and expiration risk at K_H, where either, both, or neither short call may be assigned depending on exercise decisions.
  • To cap rally loss, buy a still-higher-strike call, creating a different four-leg limited-risk structure with different economics.

Common misconceptions

Section titled “Common misconceptions”
  • “Two short calls are covered by one long call.” Only one short is offset; the other is uncovered above K_H.
  • “A credit entry means no downside.” It may profit below K_L, but upside loss remains unlimited.
  • “It benefits from any rally.” Profit peaks at K_H; a larger rally eventually loses money.
  • “Maximum loss equals spread width.” That applies to a 1:1 vertical, not this 1:2 ratio.
  • “The short strike is the breakeven.” It is the peak-profit point; the breakeven lies above it and depends on premium.
  • “It is the same as a call ratio backspread.” A backspread normally has more long than short calls and the opposite upside tail.
  • “Margin is maximum loss.” Margin is collateral policy and can be far below the theoretical loss of an extreme rally.
Section titled “Related topics”

Authoritative sources

Section titled “Authoritative sources”