How do I construct a bear spread using puts, and how does it compare to a bear call spread?
CFA Level I covers bear spreads as the directional opposite of bull spreads. I understand the concept of betting on a decline, but I'm confused about whether to use puts or calls to construct it. Is there a difference, and when would I prefer one over the other?
A bear spread profits from a moderate decline in the underlying. You can construct it with either puts or calls, and the choice has practical implications.
Bear Put Spread (Debit Spread):
- Buy a put at K_2 (higher strike — more expensive)
- Sell a put at K_1 (lower strike — less expensive)
K_1 < K_2, same underlying, same expiration.
You pay a net debit (premium outflow).
Bear Call Spread (Credit Spread):
- Sell a call at K_1 (lower strike — more premium collected)
- Buy a call at K_2 (higher strike — less premium paid)
You receive a net credit (premium inflow).
Both produce the same payoff structure when strikes match, but the cash flow timing differs.
Bear Put Spread — Worked Example:
You're moderately bearish on Triton Logistics, trading at $55.
- Buy 1 $55 put at $4.20
- Sell 1 $45 put at $1.10
- Net debit: $4.20 - $1.10 = $3.10
Key Levels:
- Max gain: ($55 - $45) - $3.10 = $6.90 (stock falls to $45 or below)
- Max loss: $3.10 (stock stays above $55)
- Breakeven: $55 - $3.10 = $51.90
Bear Call Spread — Equivalent Example:
- Sell 1 $45 call at $11.50
- Buy 1 $55 call at $3.80
- Net credit: $11.50 - $3.80 = $7.70
Wait — this doesn't look symmetric. That's because deep ITM calls are involved. In practice, bear call spreads typically use OTM calls:
- Sell 1 $55 call at $3.80
- Buy 1 $65 call at $1.20
- Net credit: $3.80 - $1.20 = $2.60
Max gain: $2.60 (stock stays below $55)
Max loss: ($65 - $55) - $2.60 = $7.40 (stock rises above $65)
Breakeven: $55 + $2.60 = $57.60
Comparing Put vs. Call Bear Spreads:
| Feature | Bear Put Spread | Bear Call Spread |
|---|---|---|
| Initial cash flow | Pay net debit | Receive net credit |
| When profitable | Stock declines below breakeven | Stock stays below upper strike |
| Preferred when | IV is low (options are cheap) | IV is high (sell expensive premium) |
| Assignment risk | Low (you own the higher-strike put) | Higher (short call may be exercised) |
Exam Tip: At Level I, focus on the bear put spread — construct it, compute max gain/loss/breakeven, and draw the payoff diagram. Know that a bear call spread achieves the same economic result using calls.
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