Option strategies question

anand99

Member
12.11.6 You are bearish on the market (you think the market will go down) so you decide to use the following options, all with the same maturity: buy a put with K = $49 for $8, sell two puts with K = $40 for $5 each, and buying one put where K = $49 for $3. If at maturity the underlying trades at S = $34, what is the profit of your trade?
a) $3
b) $4
c) $5
d) $6

Above question is from your study notes. Answer was given as below

12.11.6 The profit from the trade is $4, thus (c) is correct. We can calculate this as follows: , meaning that at maturity the underlying is worthless than the strike of all the options. Accordingly, all the put options will get exercised. [( $49 - $34) - 2 x ( $40 - $34) + ( $36 - $34)] = $5. The initial option premiums sum up to: (-$8 +2x5 -3) = -$1. Thus $5 - $1 = $4.

I am not sure I follow the $36 - $34 for the 2nd put option that was bought. Can you please explain. Thanks.
 
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