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L15.2028 - Finance I (2025/2026)

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Assume

only for

this question

that the actual price of a European Put over NewGears’s

stock with 4 months to maturity/expiration date, and strike price of €20 is €11,5.

Find the profit of an arbitrage strategy where you trade (buy or sell) one unit

of a European Call over

NewGears’s

stock with 4 months to maturity/expiration

date and a strike price of €20.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

Consider

only

for this question

that you just created a portfolio with the following

components from the table above and the stock itself:

·       

2×Short

stock

·       

1×Long

Call (K=20)

·       

5×Short

Put (K=20)

·       

3×Short

Call (K=25)

 

NewGears’s stock price in 4 months is €13,8. Compute the payoff of this combination in 4 months.

(Insert

your answer in monetary units. For example, if your answer is €231.187, please

insert 231.187)

View this question

For questions 5 to

7, consider the following information:

 

The current stock

price of

Firm A is €20. Consider that the stock price of Firm A can increase by 20% or decrease by 28% every quarter

. The firm will pay a dividend per share

equal to 10% of its stock price 9 months from now. Consider a risk-free rate APR

(Annual Percentage Rate) of 13,6% quarterly compounded.

 

Find the risk-neutral probability of this firm’s stock moving up in the next quarter.

(Insert your answer as a

percentage. For example, if your answer is 0.673, you should insert 67.30)

View this question

Find the price today

of a European Call over

Firm A

stock with 3 months to maturity/expiration

date and a strike price of €20,4.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

For questions 1 to

4 consider the following information:

 

You have

information regarding several financial options for

NewGears

stock (all

with

4 months left to maturity/expiration date):

 

 

Strike (€)

Price (€)

European Call

20

5,2

European Put

20

?

European Call

25

3,2

 

The current stock

price of

NewGears

stock is €18. The annual continuously compounded risk-free

rate is 2,49%.

NewGear’s is expected to pay a dividend per share of €3 six months from now.

 

Assume

only for

this question

that you acquired one short position in a European Call over NewGears’s

stock, with a strike price of €25. Assume also that 4 months from now

NewGears’s

stock is worth €28,4. Compute your profit from this position.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

Find the price today

of a European Call over

Firm A

stock with 3 months to maturity/expiration

date and a strike price of €18,8.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

Consider

only

for this question

that you just created a portfolio with the following

components from the table above and the stock itself:

·       

2×Short

stock

·       

1×Long

Call (K=20)

·       

3×Short

Put (K=20)

·       

3×Short

Call (K=25)

 

NewGears’s stock price in 4 months is €14. Compute the payoff of this combination in 4 months.

(Insert

your answer in monetary units. For example, if your answer is €231.187, please

insert 231.187)

View this question

For questions 5 to

7, consider the following information:

 

The current stock

price of

Firm A is €20. Consider that the stock price of Firm A can increase by 20% or decrease by 31% every quarter

. The firm will pay a dividend per share

equal to 10% of its stock price 9 months from now. Consider a risk-free rate APR

(Annual Percentage Rate) of 13,6% quarterly compounded.

 

Find the risk-neutral probability of this firm’s stock moving up in the next quarter.

(Insert your answer as a

percentage. For example, if your answer is 0.673, you should insert 67.30)

View this question

Assume

only for

this question

that the actual price of a European Put over NewGears’s

stock with 4 months to maturity/expiration date, and strike price of €20 is €12,5.

Find the profit of an arbitrage strategy where you trade (buy or sell) one unit

of a European Call over

NewGears’s

stock with 4 months to maturity/expiration

date and a strike price of €20.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

For questions 1 to

4 consider the following information:

 

You have

information regarding several financial options for

NewGears

stock (all

with

4 months left to maturity/expiration date):

 

 

Strike (€)

Price (€)

European Call

20

4,7

European Put

20

?

European Call

25

3,4

 

The current stock

price of

NewGears

stock is €18. The annual continuously compounded risk-free

rate is 3,48%.

NewGear’s is expected to pay a dividend per share of €4 six months from now.

 

Assume

only for

this question

that you acquired one short position in a European Call over NewGears’s

stock, with a strike price of €25. Assume also that 4 months from now

NewGears’s

stock is worth €26,3. Compute your profit from this position.

(Insert your answer in

monetary units. For example, if your answer is €231.187, please insert 231.187)

View this question

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