Which side of a two-sided market

A binary contract settles at $100 if an event occurs, $0 otherwise. You judge the event's probability at 60%60\%. A market maker quotes you a two-sided market of $52 bid / $58 ask (you may buy at $58 or sell/short at $52). Taking your best available trade, what is your expected profit per contract (in dollars)?

Show hints (2)+
  1. Your fair value is 0.60×100=600.60\times 100 = 60 dollars; compare to both the $58 ask and the $52 bid.
  2. You buy at the ask - profit is fair value minus the price you actually pay.

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Asked at: Game-Based Aptitude, Options Market-Making

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