Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $100 and expires in 90 days. The current price of Up stock is $120, and the stock has a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. Using the Black-Scholes formula, compute the price of the call.

Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $100 and expires in 90 days. The current price of Up stock is $120, and the stock has a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. Using the Black-Scholes formula, compute the price of the call.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter20: Financing With Derivatives

Section20.A: The Black-scholes Option Pricing Model

Problem 1P

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Rebecca is interested in purchasing an European call on a hot new stock, Up, Inc. The call has a strike price of $100 and expires in 90 days . The current price of Up stock is $120, and the stock has a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. a). Using the Black - Scholes formula , compute the price of the call b). Use put-call parity to compute the price of the put with the same strike and expiration date
Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $99.00 and expires in 85 days. The current price of Up stock is $122.83, and the stock has a standard deviation of 35% per year. The risk-free interest rate is 6.95% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note:Make sure to round all intermediate calculations to at least five decimal places.)
TreeOlivia's stock price is $180 and could halve or double in each six-month period. The interest rate is 12% a year. What is the value of a six-month call option on TreeOlivia with an exercise price of $120? What is the option delta for the six-month call with an exercise of $120? The payoffs of the six-month 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? Assume the exercise price is $120. What is the value of the one-year call option on TreeOlivia with an exercise of $150? (Hint: use the two-step binominal tree) What is the value of the one-year put option on TreeOlivia with an exercise of $150?
Suppose an investor sells 100 stocks by short selling for 6 months, the stock price is 30 yuan, and the annual interest rate of 6 months is fixed at 3%. How can I use forward contracts to avoid risks? What is the execution price? Please analyze if the stock price rises to 35 yuan or falls to 25 yuan after 6 months of hedging, what are the losses of this investor?
Suppose an investor buys 300 stocks for 3 months, the stock price is 10 yuan, and the annual interest rate for 3 months is fixed at 5%. How can I use forward contracts to avoid risks? What is the execution price? Please analyze if the stock price rises to 15 yuan or falls to 8 yuan after 3 months of hedging, what are the losses of this investor?
Suppose that a stock price is currently 35 dollars, and it is known that four months from now, the price will be either 51 dollars or 29 dollars. Find the value of a European call option on the stock that expires four months from now, and has a strike price of 39 dollars. Assume that no arbitrage opportunities exist and a risk-free interest rate of 10 percent.Answer =dollars.
). Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? a. $ 2.65 b. $ 1.78 c. $ 3.69 d. $ 4.22 e. None of the above
Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the above
You need to price a put option on the stock of APPLE with an exercise price of $50 and six months to expiration. The current stock price of APPLE is $52, the risk-free rate is 10% p.a. (c.c.) and the volatility of the stock price of APPLE is 30% p.a. APPLE will pay a dividend of $1 in exactly four months’ time. This put option is to be priced using a two-period binomial option pricing model, with three months in each period. QUESTION: Draw the two-period tree diagram for the adjusted stock price (that recognizes the impact of the dividend) of APPLE. Show the expiration date payoffs from the put option.
An investor holds 700,000 shares in Didi & Co. and is considering buying some put options to hedge her investment. Didi & Co.’s current share price is RM 6.00. The risk free interest rate is currently 12% pa and the recent volatility of Didi & Co. shares has been 30% per annum. She requires European put options with an exercise price RM5.00 for exercise in two years’ time. a) Calculate the value that the bank is likely to charge for 700,000 put options of the investor’s required specification. b) A friend informs the investors that she could achieve a safer position by selling call options to construct a delta hedge. Calculate the number of call option to be sold to construct a delta hedge. Give typing answer with explanation and conclusion
Suppose that a stock price is currently 61 dollars, and it is known that at the end of each of the next two six-month periods, the price will be either 18 percent higher or 18 percent lower than at the beginning of the period. Find the value of a European put option on the stock that expires a year from now, and has a strike price of 64 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 10 percent.
You observe that a non-dividend paying stock currently trades for ₺150 on Borsa Istanbul. The annual standard deviation of its returns is expected to be 41% per year over the next year and the continuously compounded risk-free rate of interest is flat at 18% per year over all investment horizons. Compute the theoretical price of a European call option with a strike price of ₺200 and five months remaining until expiration written on a single share of this stock using to the Black-Scholes option pricing model