Challenge Consider an option trader than wants to avoid time…
Challenge Consider an option trader than wants to avoid time decay. So, they want to find an option position that neither suffers from time decay nor appreciate over time. They limited their search for a position in an option that is 10% in-the-money (so, K = 0.9*St or 1.1*St, depending on the type of option). Assume the BSOPM is a correct model of the stock’s price evolution. If the risk-free rate is currently 9.00 percent per year, continuously compounded, and the trader is only interested in options that have 126 days until expiration, what must annualized volatility of the underlying’s log-returns be to meet all the parameters of their trade? Enter your answer as a percentage, rounded to the nearest 0.01%. For example, for 0.12345, enter, 12.35.