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期货期权代写-FIN9007

时间：2021-04-13

FIN9007

Exam Time Table Code FIN9007

Normal answer book

Approved calculators only permitted

EXAMINATION FOR THE DEGREE OF

MASTER OF SCIENCE (FINANCE) AND OTHER DEGREES

DERIVATIVES

Wednesday, 9th August 2017 2:30 PM - 4:30 PM

Examiners: Professor Gerhard Kling

and the internal examiners

Write on both sides of the answer paper

Answer any THREE questions

All questions carry equal marks

Allocation of marks within questions is shown in brackets

You have TWO HOURS to complete the paper

FIN9007/AUG2017

Answer any THREE questions

1 (a) With reference to the Black Scholes model explain the concept of risk

neutral valuation. Outline the Monte Carlo valuation procedures.

(30%)

(b) Demonstrate the manner in which the Black-Scholes model is adapted to

accommodate European futures options, i.e. the Black’s model for futures

options.

(40%)

(c) Explain the exponentially weighted moving average (EWMA) model for

estimating volatility from historical data. Explain how to apply the GARCH

methodology to derive and forecast an asset’s volatility.

(30%)

2 Consider ONE of the following articles. Briefly document the key elements

of the paper, the methodology used in the investigation, and provide a

commentary on the ramifications of the main findings highlighted in the

article.

(100%)

(i) “Understanding VIX”, by Whaley R. (2009), Journal of Portfolio

Management, 35, 98–105.

(ii) “Time series momentum”, by Moskowitz, T., Ooi, Y. H. and

Pedersen, L. H. (2012), Journal of Financial Economics 104, 228-

250.

3 (a) Stock A has a daily volatility of 1.2% and stock B has a daily volatility of

1.8%. The correlation between the two stock price returns is 0.2.

I. What is the 99%, 5-day VaR for 1 million dollar investment in

stock A?

II. What is the 99%, 5-day VaR for 1 million dollar investment in

stock B?

III. What is the 99%, 5-day VaR for 1 million dollar investment in

stock A and 1 million dollar investment in stock B?

IV. What is the benefit of diversification for the 99% VaR?

(50%)

(b) Explain why the futures price tF of a stock (without paying dividend) with

price tS satisfies

( ) ,r T tt tF S e

where r is the risk-free rate, and T is

the maturing date. Can you use the same arguments to price all other

types of futures contracts? Furthermore, if the stock price tS follows a

Geometric Brownian Motion, what is the process followed by the futures

price ?tF Interpret your result.

(50%)

Page 2 of 3

FIN9007/AUG2017

4 (a) Outline the mean-variance approach to hedge ratio construction. What

are the speculative demand and the hedging demand? Interpret them

economically.

(50%)

(b) What is the implied volatility? Explain how the Bisection OR the Newton-

Raphson procedure is utilized to calculate the implied volatility of options

priced according to the Black-Scholes model.

(50%)

5 (a) Detail the basic concepts of Value at Risk (VaR); explain how to use

historical simulation to estimate VaR. Comment on the advantages and

disadvantages of this method.

(40%)

(b) What are volatility smiles, describe the key features of volatility smiles,

and why do you think they exist?

(30%)

(c) What is credit risk? Explain the risk-neutral and real-world default

probabilities and the difference between them. Which should be used for

(i) valuation and (ii) scenario analysis? How are recovery rates usually

defined and how is the recovery rate used to approximately calculate

default probability?

(30%)

END OF EXAMINATION

Page 3 of 3

学霸联盟

Exam Time Table Code FIN9007

Normal answer book

Approved calculators only permitted

EXAMINATION FOR THE DEGREE OF

MASTER OF SCIENCE (FINANCE) AND OTHER DEGREES

DERIVATIVES

Wednesday, 9th August 2017 2:30 PM - 4:30 PM

Examiners: Professor Gerhard Kling

and the internal examiners

Write on both sides of the answer paper

Answer any THREE questions

All questions carry equal marks

Allocation of marks within questions is shown in brackets

You have TWO HOURS to complete the paper

FIN9007/AUG2017

Answer any THREE questions

1 (a) With reference to the Black Scholes model explain the concept of risk

neutral valuation. Outline the Monte Carlo valuation procedures.

(30%)

(b) Demonstrate the manner in which the Black-Scholes model is adapted to

accommodate European futures options, i.e. the Black’s model for futures

options.

(40%)

(c) Explain the exponentially weighted moving average (EWMA) model for

estimating volatility from historical data. Explain how to apply the GARCH

methodology to derive and forecast an asset’s volatility.

(30%)

2 Consider ONE of the following articles. Briefly document the key elements

of the paper, the methodology used in the investigation, and provide a

commentary on the ramifications of the main findings highlighted in the

article.

(100%)

(i) “Understanding VIX”, by Whaley R. (2009), Journal of Portfolio

Management, 35, 98–105.

(ii) “Time series momentum”, by Moskowitz, T., Ooi, Y. H. and

Pedersen, L. H. (2012), Journal of Financial Economics 104, 228-

250.

3 (a) Stock A has a daily volatility of 1.2% and stock B has a daily volatility of

1.8%. The correlation between the two stock price returns is 0.2.

I. What is the 99%, 5-day VaR for 1 million dollar investment in

stock A?

II. What is the 99%, 5-day VaR for 1 million dollar investment in

stock B?

III. What is the 99%, 5-day VaR for 1 million dollar investment in

stock A and 1 million dollar investment in stock B?

IV. What is the benefit of diversification for the 99% VaR?

(50%)

(b) Explain why the futures price tF of a stock (without paying dividend) with

price tS satisfies

( ) ,r T tt tF S e

where r is the risk-free rate, and T is

the maturing date. Can you use the same arguments to price all other

types of futures contracts? Furthermore, if the stock price tS follows a

Geometric Brownian Motion, what is the process followed by the futures

price ?tF Interpret your result.

(50%)

Page 2 of 3

FIN9007/AUG2017

4 (a) Outline the mean-variance approach to hedge ratio construction. What

are the speculative demand and the hedging demand? Interpret them

economically.

(50%)

(b) What is the implied volatility? Explain how the Bisection OR the Newton-

Raphson procedure is utilized to calculate the implied volatility of options

priced according to the Black-Scholes model.

(50%)

5 (a) Detail the basic concepts of Value at Risk (VaR); explain how to use

historical simulation to estimate VaR. Comment on the advantages and

disadvantages of this method.

(40%)

(b) What are volatility smiles, describe the key features of volatility smiles,

and why do you think they exist?

(30%)

(c) What is credit risk? Explain the risk-neutral and real-world default

probabilities and the difference between them. Which should be used for

(i) valuation and (ii) scenario analysis? How are recovery rates usually

defined and how is the recovery rate used to approximately calculate

default probability?

(30%)

END OF EXAMINATION

Page 3 of 3

学霸联盟