The nurse is preparing to administer the 0800 dose of Phenob…

The nurse is preparing to administer the 0800 dose of Phenobarbital (Dilantin) to a 4 year old client.  The order reads: Give Phenobarbital (Dilantin) 45 mg two times a day by mouth.  How much Phenobarbital (Dilantin) will the nurse prepare from the 20mg/5ml suspension bottle?

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 70 percent for a stock whose spot price is $26.50. 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 $27-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.

You build a three-step binomial model to price a call on a s…

You build a three-step binomial model to price a call on a stock whose spot price is currently $[S]. The strike price of the option is $[K] and your estimate of the gross risk-free rate in simple terms is 1.000[R0]. You price the put at $[P]. What is your price for the otherwise identical call? Enter your answer as a number of dollars, rounded to the nearest $0.01. For example, for $12.3456, enter $12.35.

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 60 percent for a stock whose spot price is $36.50. 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 $37-strike put? 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.

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 6.00 percent per year, continuously compounded, and the trader is only interested in options that have 63 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.  

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 5.00 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.  

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 7.00 percent per year, continuously compounded, and the trader is only interested in options that have 63 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.