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Build a bear put spread and net premium

Long 110 put costing 14 and short 90 put receiving 6 give payoff cap 20 and net debit 8.

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Use the original same-expiry pair

The one-unit position buys the strike-110 put and writes the strike-90 put. Net premium paid is 14−6=8. Holder payouts must be formed for puts as strike minus terminal price, subject to a zero floor.

Subtract the written put

Payoff is max(110−S,0)−max(90−S,0). It is 20 for S≤90, 110−S between 90 and 110, and zero for S≥110.

Inspect the premium-adjusted result

Original bear-put spread
Terminal priceCombined payoffSimple profit
02012
902012
100102
10280
1100-8
1300-8

Keep direction and cost separate

Simple profit crosses zero at S=102, has cap 12 below the lower strike and floor −8 above the higher strike. The downward payoff direction comes from the put legs; the premium changes the profit level without changing their payoff regions.

Further references