What is the total option payoHf if you buy one European put option ( 100 sharea) with a sthike of 543 , an option peice pet ahare of 93,65 , and atock price of 545 at opton expiralion?
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- Using put-call parity formula, derive expressions for the lower bounds for European call and put options. What is a lower bound for the price of (i) a three-month call option on a non-dividend-paying stock when the stock price is R860, the strike price is R760, and the risk-free interest rate is 10% per annum? (ii) a three-month European put option on a non-dividend-paying stock when the stock price is R500, the strike price is R610, and the discrete risk-free interest rate is 9% per annum?You write a European Put option on INTC with a strike price of $30 and a $0.69 premium. If at expiration INTC is the following price, what is your profit? $35 $32 $27 $25Suppose that a European call option to buy a share for $100.00 costs $5.00 and is held untilmaturity. Under what circumstances will the holder of the option make a profit? Underwhat circumstances will the option be exercised? Draw a diagram illustrating how the profitfrom a long position in the option depends on the stock price at maturity of the option. Suppose that a European put option to sell a share for $60 costs $8 and is held untilmaturity. Under what circumstances will the seller of the option (the party with the shortposition) make a profit? Under what circumstances will the option be exercised? Draw adiagram illustrating how the profit from a short position in the option depends on thestock price at maturity of the option.
- Suppose you wrote a European put option on RDNW with an exercise of $30 and premium of $2.7. What would be your profit (per share) if the stock price at the expiration date is $26?A European put option with strike price $26.00, the underlying asset S (0) is $26 and the return over each period R=1.06. CRR notation d=0.8 and u=1.25 Construct a three-step binomial pricing tree for the European put option and calculate the premium.You are considering a European put option and a European call option on ABC Ltd and have available the following information. The put option with an exercise price of $15 and time to maturity of 60 days is priced at $2.00. The call option with the same exercise price and time to maturity is priced at $3.00. The underlying asset price is $15. The risk-free rate is 2% per 60 days. Could an arbitrage profit be earned? If so, how much the arbitrage profit is? Show your works (Hint: use discrete put-call parity equation and consider two scenarios for stock price at maturity of the options: $10 or $20).
- You buy a European call option priced at $0.025/€ on €225,000 at a strike price of $1.50/€. If at maturity, the observed price is $1.60/€, what is the total net cash flow involved at the end of this investment whether you exercise or do not exercise this option?You buy a European put option priced at $0.025/€ on €225,000 at a strike price of $1.50/€. If at maturity, the observed price is $1.60/€, what is the total net cash flow involved at the end of this investment whether you exercise or do not exercise this option?Suppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?
- An investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset.Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset.