The current price of a non-dividend-paying stock is $86.78 a…

The current price of a non-dividend-paying stock is $86.78 and the annual standard deviation of the stock’s return is 47%. The risk-free rate is 1.6% (continuously compounded). A European call option on the stock has a strike price of $92 and expires in 1.5 years.   A B 1 Inputs   2 Stock price 86.78 3 Exercise price 92 4 Expiration (years) 1.5 5 St.Dev. of returns 0.47 6 Dividend yield 0 7 Risk-free rate 0.016   What should be the price (premium) of the call option? Report your answer in two decimal places

The current level of a broad stock market index is 1,474. It…

The current level of a broad stock market index is 1,474. Its dividend yield is 3% and the standard deviation of index returns is 20%. An American put option on the stock expires in 0.4 years. Its strike price is $1,480. The risk-free rate is 7% (annual, continuously compounded). Value the option using a binomial model with 2 periods of length 0.2 years each. What is the risk-neutral probability of an up movement? Report your answer in four decimal places

Consider call options on the same stock with the same maturi…

Consider call options on the same stock with the same maturity date. You bought two call options with strike prices of $54 and $90 for $6.09 and $1.69, respectively, and sold two call options with a strike price of $72 for $2.93 each.  What is your profit if the stock price is $81 on the expiration date? Report your answer in two decimal places

The current price of a non-dividend-paying stock is $64.77 a…

The current price of a non-dividend-paying stock is $64.77 and you expect the stock price to either go up by a factor of 1.143 or down by a factor of 0.887 each period for 2 periods over the next 0.2 years. Each period is 0.1 years long. A European call option on the stock expires in 0.2 years. Its strike price is $65. The risk-free rate is 7% (annual, continuously compounded). What is the current value of the option? Report your answer in two decimal places