When time decay reverses

Time decay (negative theta) is the norm for long options, yet one of the following long European positions can have positive theta - it gains value purely from the passage of time, all else fixed. Which one, and for the right reason?

Show hints (2)+
  1. Value == decaying time-value ++ the discounting of any locked-in intrinsic value.
  2. For which instrument does a rising discount factor e−rTe^{-rT} (as T→0T\to0) help the holder - a claim to receive the strike, or to pay it?

Answer

Reveal answer →

A deep in-the-money European put - its value is dominated by the discounted strike Ke−rTKe^{-rT}, whose present value rises as T→0T\to0

Create a free account to see the full worked solution and track your progress.

Interview format: Betting Game Rounds, Prop Trading

Related questions