Belief of Franklin about the European-style option will aim higher premium. Introduction: Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

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Answer 1

Question

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

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As an option trader, you are constantly looking for opportunities to make an arbitrage transaction (that is, a trade in which you do not need to commit your own capital or take any risk but can still make a profit). Suppose you observe the following prices for options on DRKC Co. stock: $3.18 for a call with an exercise price of $60, and $3.38 for a put with an exercise price of $60. Both options expire in exactly six months, and the price of a six-month T-bill is $97.00 (for face value of $100). a. Using the put-call-spot parity condition, demonstrate graphically how you could synthetically re-create the payoff structure of a share of DRKC stock in six months, using a combination of puts, calls, and T-bills transacted today. b. Given the current market prices for the two options and the T-bill, calculate the no-arbitrage price of a share of DRKC stock. c. If the actual market price of DRKC stock is $60, demonstrate the arbitrage transaction you could create to…

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.

What insights does the Black-Scholes option pricing model provide about financial derivatives? The Black-Scholes model is a mathematical model used to determine the fair price or theoretical value of a European-style option. It incorporates variables such as the current stock price, option strike price, time until expiration, risk-free rate, and stock volatility. The model assumes that stock prices follow a log-normal distribution and that markets are efficient, with no transaction costs or taxes. While originally developed for stock options, its principles have been extended to value various types of financial derivatives. The Black-Scholes model revolutionized the field of quantitative finance and played a crucial role in the growth of the derivatives market. Despite its limitations and assumptions, it remains a fundamental tool in options trading and risk management.

Answer 2

Question

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

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Answer 3

Question

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

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Answer 4

Question

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

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Answer 5

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

Answer 6

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

Answer 7

Chapter 21, Problem 3CP

a.

Summary Introduction

To evaluate: Belief of Franklin about the European-style option will aim higher premium.

Introduction:

Option Style: According to financial terminology, the style of an option is a class or group which consists of predefined dates abut when option have to be exercised. The two types of option styles are American-style options and European style options.

Answer 8

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

Answer 9

b.

Summary Introduction

To determine: The European-style call option using put-call parity and the information provided in the table.

Introduction:

Put-Call parity relationship: It is a relationship defined among the amounts of European put options and European call options of the given same class. The condition implied here is that the underlying asset, strike price, and expiration dates are the same in both the options.

Answer 10

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

Answer 11

c.

Summary Introduction

To determine: The effect of increment short-term interest rate and stock price volatility; and decrease in time to expiration on the call option’s value.

Introduction:

Call option: It is an option that facilitates the buyer to buy the underlying assets at a fixed or agreed price irrespective of changes in market price during a specified period.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 21 - Prob. 1PS Ch. 21 - Prob. 2PS Ch. 21 - Prob. 3PS Ch. 21 - Prob. 4PS Ch. 21 - Prob. 5PS Ch. 21 - Prob. 6PS Ch. 21 - Prob. 7PS Ch. 21 - Prob. 8PS Ch. 21 - Prob. 9PS Ch. 21 - Prob. 10PS

Solution Summary: The author evaluates Franklin's belief that the European-style option will aim higher premium. The European option is never sold for a higher amount to receive more return.

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