Challenge When considering the option greeks, we saw that, w…
Challenge When considering the option greeks, we saw that, while the BSOPM had explicit formulas for all of the greeks, the BINOM only had a formula for one: the delta. In this challenge, we will compare the two and see that the BINOM approximation for shorter expirations is actually quite similar to the BSOPM delta! Myron and Stephen are each pricing a three-day option. Myron uses the BSOPM while Stephen uses a three-period BINOM with the CRR solutions (see equation sheet). They agree that annualized volatility of the stock’s log returns 45 percent for a stock whose spot price is $40.50. The current annualized continuously compounded risk-free rate is 5 percent. What is the percentage difference between Myron’s (BSOPM) delta estimate and Stephen’s (BINOM) delta estimate for the $41-strike call? Enter your answers as a percentage, rounded to the nearest 0.001%. For example, for 0.123456, enter 12.346. Enter your answer as a positive number.