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The following information pertains to the next 3 questions: Tesla Stock is priced at $732.23 per share. The continuously compounded risk-free rate is 0.10 percent

The following information pertains to the next 3 questions:

Tesla Stock is priced at $732.23 per share. The continuously compounded risk-free rate is 0.10 percent per annum. You observe five actively-traded options on Tesla stock, with characteristics, premiums and sensitivities as follows:

Option Number:

I

II

III

IV

V

Option Type:

Call

Call

Call

Call

Put

Years to Expiration (T):

0.1014

0.1014

0.2548

0.7753

0.7753

Exercise Price (X):

700

800

750

750

750

Option Premium:

76.50

32.85

84.50

165.70

180.60

Delta:

0.6261

0.3655

0.5330

0.6027

-0.3991

Gamma:

0.0025

0.0026

0.0017

0.0009

0.0009

Theta:

-283.1731

-270.9467

-180.8238

-109.2001

-107.1036

Vega:

88.3322

87.6830

146.9481

248.6476

248.9417

Rho:

38.7311

23.8075

77.9206

213.6657

-366.5882

Implied Volatility:

64.93%

62.61%

62.60%

67.93%

67.01%

1. If you expect a large increase in the price of Tesla stock within the next week, which option should you purchase, i.e. which will experience the largest percentage increase in its premium?

A. Option I

B. Option II

C. Option III

D. Option IV

2. Which of the options would experience the greatest rate of time decay over the next few days, in percentage terms, if the stock price, volatility and risk-free rate all remained unchanged?

A. Option I

B. Option II

C. Option IV

D. Option V

3. Which of the following portfolios is hedged against small changes in the price of Tesla stock?

A. Long 0.5330 shares of Tesla stock, Short 1 Option III.

B. Long 1 share of Tesla stock, short 1 Option IV, long 1 option V.

C. Long 0.3991 shares of Tesla stock, Long 1 option V.

D. Portfolios A, B and C above are all hedged against small changes in the price of Tesla stock.

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