The share price of Heavy Metal (HM) changes only once a month: Either it goes up by 22% or it falls by17.1%. Its price now is $42.5. The interest rate is 1.2% per month. What is the value of a one-monthcall option with an exercise price of $42.5? What is the option delta? The payoffs of the call option canbe replicated by buying shares of stock and borrowing. What amount should be invested in stock andwhat amount must be borrowed? What is the value of a two-month call option with an exercise priceof $42? What is the option delta of the two-month call over the first one-month period?

One-Month Call OptionValue: Due to the binary price movement (up or down) of HM, a traditional…

Answered: The share price of Heavy Metal (HM)…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

See similar textbooks

Similar questions

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? Complete this question by entering your answers in the tabs below. Req A and B Req C Req D and E d. What is the value of a two-month call option with an exercise price of $42? (Do not round intermediate calculations. Round your answer to 1 decimal place.) e. What is the option delta of the two-month call over the first one-month period? (Do not round intermediate calculations. Round your…
The stock price of ABC changes only once a month: either it goes up by 20% or it falls by 16.7%. Its price now is £40. The interest rate is 12.7% per year, or about 1% per month. Required: i Suppose a one-month call option on this stock has an exercise price of £40, what is the option delta? ii Show how the payoffs of this call option can be replicated by buying ABC’s stock and borrowing. iii Using the risk-neutral method to calculate the value of a one-month call option with an exercise price of £40. iv Construct a two-month binomial tree. What is the value of a two-month call option with an exercise price of £40? v Use put-call parity, what is the price for a one-month put with the same exercise price? And a two-month put with the same exercise price?
1. The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 20% or it falls by 16.7%. Its price now is $40. The interest rate is 12.7% per year, or about 1% per month. a. What is the value of a one-month call option with an exercise price of $40? b. What is the option delta? c. What is the option delta of the two-month call over the first one-month period? d. Show how the payoffs of this call option can be replicated by buying HM’s stock andborrowing. e. What is the value of a two-month call option with an exercise price of $40?
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?
The share price of your favourite company is currently traded at a price of £40 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift ?=0.15 and volatility ?=0.24. You decide to buy a European call option with a strike price of £42 and an expiration date of two years from now. What is the no-arbitrage price for this option?
The share price of your favourite company is currently traded at a price of £60 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift µ = 0.15 and volatility o = 0.24. You decide to buy a European call option with a strike price of £63 and an expiration date of two years from now. What is the no-arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign.
The share price of your favourite company is currently traded at a price of £60 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift μ= 0.15 and volatility o = 0.24. You decide to buy a European call option with a strike price of £63 and an expiration date of two years from now. What is the no- arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign.
Suppose that shares of FC Inc. are trading at $100. Consider an American put option withstrike price 110. The option matures two periods from now and it pays no dividends. The price can go upby 15% or down by 10% in each period. What is the price of the option today? The risk-free rate is 7%.
The share price of your favourite company is currently traded at a price of £80 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, 0.15 and volatility o = 0.24 drift µ . You decide to buy a European call option with a strike price of £84 and an expiration date of two years from now. What is the no-arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign. =
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.
XYZ Corporation will pay a $2 per share dividend in two months. Its stock price currently is $80 per share. A European call option on XYZ has an exercise price of $75 and 3-month time to expiration. The risk-free interest rate is 0.95% per month, and the stock's volatility (standard deviation) - 18 % per month. Find the Black-Scholes value of the option. (Hint: Try defining one "period" as a month, rather than as a year, and think about the net-of-dividend value of each share.) Note: Round your answer to 2 decimal places. Black-Scholes value of the option
The current stock price of IBM is $64. A put option on IBM with an exercise price of $67 sells for $7 and expires in 1 month(s). If the risk-free rate is 1.1% per year, what is the price of a call option on IBM with the same exercise price and expiration date (keep two decimal places)?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS