Bear call spread: it pays if the price doesn’t rise, but time helps only below about $107.50
See which way time pushes this call credit spread at different prices, and why “time is helping” and “you will make money” are not the same thing.
All figures are Black-Scholes model estimates, not market quotes or guarantees.
US stock and ETF options are American-style and can be exercised at any time. This model treats every option as European and does not model early exercise or assignment.
P&L by price and day (model estimate, current price 100, IV 30%, 30 days)
| Underlying price | Day 0 | Day 7.5 | Day 15 | Day 22.5 | Day 27 | Day 30 |
|---|---|---|---|---|---|---|
| 100 | $0 | +$16 | +$40 | +$74 | +$97 | +$101 |
| 105 | −$95 | −$87 | −$75 | −$50 | −$10 | +$101 |
| 107.5 | −$148 | −$148 | −$149 | −$149 | −$150 | −$149 |
| 110 | −$200 | −$208 | −$220 | −$246 | −$287 | −$399 |
| 115 | −$288 | −$305 | −$329 | −$365 | −$393 | −$399 |
Structure, capital, and P&L at expiration
A bear call spread has two legs: you sell a call with a strike of 105 and buy a call with a strike of 110, both expiring in 30 days. Every number on this page assumes a current price of $100, implied volatility (IV) of 30%, a 4% risk-free rate, no dividends, 30 days to expiration, and one contract per leg.
The 105 call brings in $1.66 a share and the 110 call costs $0.66, for a net credit of $100.68.
- Max profit: $100.68, the credit, kept at $105 or below.
- Max loss: $399.32, at $110 or above: the $500 width less the credit.
- Breakeven: $106.01.
Brokers typically require margin equal to the max loss, $399.32, while the spread is open. At entry, Delta is −16.12 and the instantaneous Theta is +$1.87 a day.
Time profile
- At $100, the price unchanged, time pays steadily: +$40 by day 15, +$97 by day 27, +$101 at expiration. Only 27% of the gain arrives in the last 7.5 days.
- At $105, the short strike, the position starts at −$95 and turns positive only on day 27.6. 77% of the gain arrives in the last 7.5 days.
- At $107.50, the midpoint, time changes almost nothing: about −$148 to −$149.
- At $110, time costs money: −$200 to −$399, 77% of it in the last 7.5 days.
- At $115, above both strikes, the loss grows from −$288 to −$399.
“Time is helping” is not “you will make money”: between $106.01 and $107.40
The time-neutral price runs from $107.37 on day 0 to $107.44 on day 15, $107.49 on day 27, and $107.53 with 1 day left. Below it, the next-day change is positive; above it, negative.
That line sits above the breakeven of $106.01. Between the two, time and the final result point in opposite directions: each day shrinks the loss, but the spread still loses money at expiration. At $106.50, the position shows −$126 on day 0, −$119 on day 15, −$89 on day 27, and −$49 at expiration.
Near expiration: the $5 between the strikes is magnified
Early on, the $5 between the strikes moves the P&L only moderately. On day 0, $105 shows −$95 and $110 shows −$200, a gap of $105.
As expiration approaches, the spread’s value moves toward one of its two limits, and the same $5 of price decides which. On day 27 the gap is $277 (−$10 against −$287); at expiration it is the full $500 (+$101 against −$399).
Try it in the Lab: three experiments
The link adds a $106.50 scenario line. Watch it narrow from −$126 on day 0 to −$49 at expiration: time is helping the whole way, and the position still ends with a loss.
Open in the LabCompare the gap between the $105 and $110 lines on day 0 and on day 27 (the cursor opens on day 27): $105 apart at the start, $277 apart on day 27.
Open in the LabOpen the time-effect map and check that the time-neutral line is almost horizontal: it stays between $107.37 and $107.53 from day 0 to the last day.
Open in the Lab
Three common misconceptions
MisconceptionA bear spread only pays if the price falls.
What the numbers showWith the price unchanged at $100, it earns the full +$101 at expiration. At $97 it is also +$101: a further drop adds nothing.
MisconceptionTime is helping, so the trade will make money.
What the numbers showAt $106.50, time narrows the P&L from −$126 to −$49, and it is still a loss at expiration.
MisconceptionThe closer to expiration, the steadier the P&L.
What the numbers showThe P&L gap between $105 and $110 is $105 on day 0 (−$95 against −$200) and widens to $277 on day 27 (−$10 against −$287).