Underlying stock price, Managerial Economics

Financial engineering deals with the design of new assets. Draw the payoff (at t=1) of the
following bull butterfly spread:
 
  Purchase 1 call with exercise price a
  Sell 2 calls with exercise price (a+b)/2
  Purchase 1 call with exercise price b
 
as a function of the underlying stock price S at t=1 (where a

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