The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 26% or it falls by 19.3%. Its price now is $43. The interest rate is 0.5% per month. a. What is the value of a one-month call option with an exercise price of $43? b. What is the option delta? c. The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? d. What is the value of a two-month call option with an exercise price of $42? e. What is the option delta of the two-month call over the first one-month period?

A stock price is currently $52. Its volatility is 35% p.a. . The risk-free interest rate is 8% p.a. with continuous compounding. What is the value of a 2-year European call option with a strike price of $55, using a 2-step binomial tree? Without doing any calculations, explain what would happen to the value of the option if the stock volatility decreases

The common stock of Triangular File Company is selling at $91. A 13-week call option written on Triangular File's stock is selling for $9. The call's exercise price is $101. The risk-free interest rate is 8% per year. a. Suppose that puts on Triangular stock are not traded, but you want to buy one. Which combination will produce the same results? Buy call, invest PV(EX), sell stock short Sell call, invest PV(EX), sell stock short Buy call, lend PV(EX), buy stock Sell call, lend PV(EX), buy stock b. Suppose that puts are traded. What should a 13-week put with an exercise price of $101 sell for? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Put option price

The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 24% or it falls by 20.7%. Its price now is $48. The interest rate is 1.2% per month.  What is the value of a one-month call option with an exercise price of $48? What is the option delta? The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? What is the value of a two-month call option with an exercise price of $49? What is the option delta of the two-month call over the first one-month period?

The current stock price is $10. In each of the next two years, the stock price can either go up by $2 or go down by $2. The stock pays no dividends. The one-year risk-free interest rate is 5% and will remain constant during this two-year period. a) Using the Binomial Model of option pricing, calculate the price of a two-year call option on the stock with a strike price of $13. b) Using Risk Neutral valuation calculate the price of two-year put option on the stock with a strike price of $7.

Suppose that an American put option with a strike price of $70.0 and maturity of 4.0 months costs $13.2. The underlying stock price equals 55. The continuously compounded risk-free rate is 8.5 percent per year. What is the potential arbitrage profit from buying a put option on one share of stock? 1.9783 no arbitrage profit available 3.8117 4.2693 1.80

Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%

A stock is currently selling for $39. In one period, the stock will move up by a factor of 1.29 or down by a factor of .53. A call option with a strike price of $50 is available. If the risk-free rate of interest is 2.5 percent for this period, what is the value of the call option?

The stock price of Heavy Machine (HM) changes only once a month: Either it goes up by 20% or it falls by 16.7%. Its price now is $50. The interest rate is 1% per month. What is the value of a one-month call option with an exercise price of $45?Round to 2 decimal points for each step of the calculation. A. $ 7.20B. $ 7.13C. $ 7.72D. $ 7.80

The share price of Heavy Metal (HM) changes only once a month: Either it goes up by 22% or it falls by 18.5%. Its price now is $48.7. The interest rate is 0.9% per month. What is the value of a one-month call option with an exercise price of $48.7?