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L15.2028 - Finance I (2025/2026)

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Consider

now that you want to use the put-call parity to evaluate a 2-year European put

on stock A with a strike price of €35.

 

Compute

the PV(DPS) that should be used in the formula for put-call parity.

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Stock A has a price of €33. Assume

that each semester the price of A price will increase by 20% or decrease by 30%.

Four quarters from now Firm A will pay a dividend equal to 10% of the stock

price at that time. Consider an APR of 6,1% semi-annually compounded.

 

Estimate the value of a

European call option on stock A with one semester left to maturity and a strike

of €29.

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Assume only for this question that the correlation between X and Y is -1. Consider that you want to create a portfolio that combines stocks X and Y and has zero volatility. Report the weight of stock Y.

(Report your answer as a percentage. For example, if your solution is 4.531% please insert 4.531.)

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For questions 1 and 2 consider the following data:

 

You collected the following data regarding stocks X and Y:

 

 

Stock X

Stock Y

E(r)

13,92%

4,92%

Volatility

17,73%

6,40%

 

Assume only for this question that the correlation between stocks X and Y is 0.3. Compute the expected return for the minimum variance portfolio with stocks X and Y.

(Report your answer as a percentage. For example, if your solution is 4.531% please insert 4.531.)

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Compute the portfolio’s standard deviation.

(Report your answer as a percentage. For example, if the correct answer is 5.65% report 5.65)

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For question 1 and 2 consider the following data:

 

You own three stocks: 370 shares of stock A, 264 shares of stock B, and 454 shares of stock C. The current share prices and expected returns of A, B, and C are, respectively, €42,5, €39,4, €42,9 and 12%, 9,40%, 10.5%.

 

Below you have the covariance matrix for the tree stocks:

 

Covariance Matrix

A

B

C

A

0,018

0

- 0.0005

B

-

0,075

0.002

C

-

-

0,044

 

Compute the portfolio’s expected return.

(Report your answer as a percentage. For example, if the correct answer is 5.65% report 5.65)

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Compute

the expected stock price cum-div one year from now (immediately before the dividend from that period is paid).

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Compute

the expected stock price ex-div one year from now (without the dividend from

the respective period).

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Suppose Firm A will pay a dividend of $4

per share at the end of this year and $5,4 per share the year after that. You

expect Firm A’s stock price to be $52 in two years, immediately after the

payment of that period’s dividend per share. Assume that Firm A’s equity cost

of capital is 8,5%.

 

What is

the expected capital gain between today and next year?

(Report

your answer as a percentage. If your answer is 5.864% please insert 5.864)

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Consider

additionally that after a new shock, you observe the following information for

the

risky asset:

 

 

Current Market

Price (P

0)

Investor’s Expected

Price (P

1)

Investor’s Expected

DPS (DPS

1)

Risky Asset

57

73,6

0

 

Compute the investor’s

expected return for the risky asset.

(Insert your answer as a

percentage. For example, if your answer is 0.05815, please insert 5.815)

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