Question IV:The price of a non-dividend-paying stock is $100 and the continuously compounded risk-free rate is 5%. A1-year European call option with a strike price of $100 x e0.05x1 $105.127 has a premium of $11.924. AI$107.788 has a premium of $11.50.1 year European call option with a strike price of $100 x 0.05x1.5Demonstrate an arbitrage.

Arbitrage is a trading strategy that takes advantage of price discrepancies between related…

The price of a non-dividend-paying stock is $100 and the continuously compounded risk-free rate is 5%. A 1-year European call option with a strike price of $100 × €0.05x1 -$105.127 has a premium of $11.924. A 1 year European call option with a strike price of $100 x 20.05x15 - $107.788 has a premium of $11.50. Demonstrate an arbitrage.

The price of a non-dividend-paying stock is $100 and the continuously compounded risk-free rate is 5%. A 1-year European call option with a strike price of $100 × €0.05x1 -$105.127 has a premium of $11.924. A 1 year European call option with a strike price of $100 x 20.05x15 - $107.788 has a premium of $11.50. Demonstrate an arbitrage.

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

H4.
The current stock price is 100. It pays 6% continuous dividend yield. Its volatility is 30%. The risk free interest rate is 3% flat. Use the closed form results from BSM theory to compute the price, delta and theta (round your numerical results to 4 decimal places) for: a) a 10 year European style call option with strike 150; b) a perpetual American style call option with strike 150; c) Φ (Greek "phi") for a derivative f is defined as its sensitivity to the changes of dividend yield q: Φ = δf / δq Compute Φ for the above two options. Please present both the analytical expressions and the numerical results.
c. What is a lower bound for the price of a nine-month European call option on a non-dividendpaying stock when the stock price is $75, the strike price is $70, and the risk-free interest rate is8% per annum?
Give typing answer with explanation and conclusion 5. A European call option on Home Depot stock has a strike price of $160 and expires in 0.9 years. Home Depot stock has a current market price of $165.99 and the risk-free rate is 4%. What must be the minimum price of the option?
Suppose a non-dividend paying stock is trading at $175 per share and has a volatility of 20%. What is the fair price of a 3-month European call option with a strike price of $190 per share using 1 binomial period? Assume the risk-free rate is 1%. Round to the nearest $0.01.
The price of a stock, which pays no dividends, is $64 and the strike price of a one year European call option on the stock is $60. The risk-free rate is 3% (continuously compounded). What is the lower bound for the call option? A. $5.98 B. $5.77 C. $4.12 D. $2.17
The following 1-year European call options are available on the stock of Vega International, whose stock is trading at €72.50: Strike Price Call Price (€) (€) 60 8.00 75 3.00 90 2.00 What is the maximum profit realised at maturity from a long butterfly spread created from these call options? Assume a risk-free rate of 5%.
A stock price is currently 40 and has a volatility of 25% and a dividend yield of 2%. the risk-free rate is 7%. what is the value of a european six-month put option with a strike price of 42 using a two-step tree? a. $3.15 b. $3.39 c. $3.67 d. $3.86
Reconsider the determination of the hedge ratio in the two-state model where we showed that one-third share of stock would hedge one option. The possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state). Required: What would be the call option hedge ratio for each of the following exercise prices: $135, $127, $120, $115, given the possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state)? What do you conclude about the hedge ratio as the option becomes progressively more in the money?
1. Black-Scholes. A European call style option is made for a security currently trading at $ 55 per share with volatility .45. The term is 6 months and the strike price is $ 50. The prevailing no-risk interest rate is 3%. What should the price per share be for the option?
What is the value of d, of a European call option on a non-dividend-paying stock when the stock price is $60, the strike price is $59, the risk-free interest rate is 5% per annum the volatility (Standard Deviation) is 30% per annum, and the time to maturity is three months? c=SN(d,)-Ke-N(₂) where and O√T OA02704 OB0.2167 *√T OC.0.3561 OD.0.1204
b. What is a lower bound for the price of a nine-month European put option on a non-dividendpaying stock when the stock price is $65, the strike price is $69, and the risk-free interest rate is5% per annum? c. What is a lower bound for the price of a nine-month European call option on a non-dividendpaying stock when the stock price is $75, the strike price is $70, and the risk-free interest rate is8% per annum?

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

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

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