Corporate Value at Risk (20 points) Consider the FTZ Company as discussed in Lecture 6 on Value at Risk Due to economic uncertainty for next year, the financial price uncertainty faced by FTZ has increased drastically for the next budget year In particular, the annualized volatility of euro dollar exchange rate has increased to 15 , the volatility of aluminum price to $300 and the volatility of interest rate is 3 Determine the 95 Value at Risk for FTZ by doing 5,000 simulations on its pre tax earnings Explain the meaning of the 95 Value at Risk (5 points) Suppose FTZs management has decided not to hedge any of the identified market risks FTZs financial controller figures that next years cash flow will be strained and the cash reserve is estimated to be $12 million only FTZ is applying for a line of credit from Nopay Bank that can cover the potential shortfall of the pre tax earnings with 95 confidence level Determine the size of the line of credit (5 points) FTZ has a good project that can start next year The cost of investment is $3 million The cash reserve is estimated to be $12 million next year FTZs management has engaged you as their consultant on risk management The managements risk appetite is that they do not prefer a perfect hedge against all market risks because they still want to keep some upside potential in the pre tax earnings They want to hedge the market risks such that (1) the line of credit will no longer be needed and (2) the cash reserve will be enough to cover the investment in the good project next year What risk(s) would you advise to hedge Explain (10 points) Note Please use the excel template for Corporate Value at Risk provided for this question Question 2 Hedging at Porsche (20 points) Read the case on Hedging at Porsche and answer the following 2 questions How might Porsches ownership structure influence the hedging strategy pursued by management (10 points) Do you think Porsches strategy of using options to acquire a stake in VW instead of buying stocks directly is a sensible one Or do you agree with the critics who argued that Porsche was speculating with shareholders money and that it had become a hedge fund that neglected its core business (10 points) Question 3 Downside Risk Analysis (20 points) The Excel file Q3 Downside Risk provides the monthly index levels for HANGSENG (HS), DAX, NIKKEI, DOWJONES and SHANGHAI COMPOSITE (SSE) for the 5 year period from September 2016 to August 2021 Meanwhile, youre considering investing USD10 million in ONE stock fund that mimics one of the market indices for 5 years Your investment objective is to generate a 5 year holding period return of 50 The current risk free rate of interest is 3 It is believed that the performance of the markets in the foreseeable future is similar to the previous five years Using the stock market data provided, estimate the annualized mean return and the annualized standard deviation for each of the five markets (5 points) Portfolio Shanghai Hang Seng Dow Jones DAX NIKKEI225 Annualized Mean Return Annualized Standard Deviation How would you rank the five markets based on the traditional price of risk measure (5 points) Portfolio Shanghai Hang Seng Dow Jones DAX NIKKEI225 Rank 1 most preferred 2 least preferred How would you rank the five portfolios with respect to your investment objective (5 points) Portfolio Shanghai Hang Seng Dow Jones DAX NIKKEI225 Rank 1 most preferred 2 least preferred Suppose you prefer to invest the USD10 million in the Shanghai market with downside risk limited to no more than 20 What should be the target wealth in your investment objective (5 points) Question 4 Credit Risk Analysis (20 points) BBB Inc is a CNY based importer who imports agricultural products from Europe Currently BBB Inc has an account payable of 5 million euros that will come due in 3 months The current exchange rate between CNY and euro is CNY7 6923 per euro The exchange rate outlook between CNY and euro is highly uncertain and BBBs treasurer has decided to hedge against the exchange rate risk by using forward contract with Nopay Bank The 3 month forward rate today is CNY 7 7787 per euro Use the PROFIT LOSS graph below to describe the exchange rate exposure of Nopay Bank as a result of providing the forward hedge service to BBB assuming no counterparty default risk Clearly indicate the exchange rate for each turning point, if any, in the net payoff (5 points) Suppose Nopay Bank is concerned about the counterparty risk arising from the possibility that BBB would default on the forward delievery date Draw a different PROFIT LOSS graph to describe the corresponding exchange rate exposure of Nopay Bank with counterparty default risk Clearly indicate the exchange rate for each turning point, if any, in the net payoff (5 points) Suppose Nopay Bank requires BBB Inc to buy credit insurance to protect Nopay Bank against BBBs default Draw another PROFIT LOSS graph to describe the credit insurance in terms of call or put option Clearly indicate the exchange rate for each turning point, if any, in the net payoff (5 points) Question 4 Credit Risk Analysis Continued (d) Suppose the CNY interest rate is 5 p a , the euro interest rate is 0 5 p a and the volatility of the CNY euro exchange rate is 30 The credit rating of BBB inc indicates that the probability of default is 5 Based on the given information and your analysis in parts (a), (b) and (c) above, determine the corresponding cost of credit insurance to BBB Inc (5 points) Hint you can use the Excel worksheet provided Q4 Option Pricing to do the calculation Question 5 Strategic Hedging (20 points) Youre the risk manager of an airline operating in Hong Kong The current jet fuel price is US$100 per ton and the annualized volatility of jet fuel price is standing at 80 due to economic uncertainty among other factors The risk free rate is 5 Youve decided to hedge the jet fuel cost for 6 months, and youre considering the various hedging strategies The 6 month forward price on jet fuel is US$100 The up front cost of forward is zero Currently, the 6 month jet fuel options available are as follows Call Options Strike Price Put Options Strike Price Call L 70 Put L 70 Call S 100 Put S 100 Call H 130 Put H 130 Relative to the NAKED position, evaluate the range of protection against loss, the upside potential, the downside, and the corresponding cost of hedging using the following combinations of forward and options Hedge with Forward only Explanation Range of Protection Upside ($) Downside ($) Cost ($) Hedge with Call S only Explanation Range of Protection Upside ($) Downside ($) Cost ($) Hedge with Put S only Explanation Range of Protection Upside ($) Downside ($) Cost ($) Question 5 Strategic Hedging (20 points) Continued Hedge with Call L and Call H Explanation Range of Protection Upside ($) Downside ($) Cost ($) Hedge with Put L and Call H Explanation Range of Protection Upside ($) Downside ($) Cost ($) Academic Honesty and Integrity The University Regulations on academic dishonesty will be strictly enforced Please check the University Statement on plagiarism on http www hku hk plagiarism Cheating or plagiarism of any kind would result in an automatic F grade for the course plus strict enforcement of all Faculty and or University regulations regarding such behavior Attachments final exam mb docx

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Corporate Value at Risk (20 points) Consider the FTZ Company as discussed in Lecture 6 on Value-at-Risk. Due to economic uncertainty for next year, the

Corporate Value at Risk (20 points) Consider the FTZ Company as discussed in Lecture 6 on Value-at-Risk. Due to economic uncertainty for next year, the financial price uncertainty faced by FTZ has increased drastically for the next budget year. In particular, the annualized volatility of euro/dollar exchange rate has increased to 15%, the volatility of aluminum price to $300 and the volatility of interest rate is 3%.

Determine the 95% Value at Risk for FTZ by doing 5,000 simulations on its pre-tax earnings. Explain the meaning of the 95% Value-at-Risk. (5 points)

Suppose FTZs management has decided not to hedge any of the identified market risks. FTZs financial controller figures that next years cash flow will be strained and the cash reserve is estimated to be $12 million only. FTZ is applying for a line of credit from Nopay Bank that can cover the potential shortfall of the pre-tax earnings with 95% confidence level. Determine the size of the line of credit. (5 points)

FTZ has a good project that can start next year. The cost of investment is $3 million. The cash reserve is estimated to be $12 million next year. FTZs management has engaged you as their consultant on risk management. The managements risk appetite is that they do not prefer a perfect hedge against all market risks because they still want to keep some upside potential in the pre-tax earnings. They want to hedge the market risks such that (1) the line of credit will no longer be needed and (2) the cash reserve will be enough to cover the investment in the good project next year. What risk(s) would you advise to hedge? Explain. (10 points)

Note: Please use the excel template for Corporate Value-at-Risk provided for this question. Question 2: Hedging at Porsche (20 points) Read the case on Hedging at Porsche and answer the following 2 questions.

How might Porsches ownership structure influence the hedging strategy pursued by management. (10 points)

Do you think Porsches strategy of using options to acquire a stake in VW instead of buying stocks directly is a sensible one? Or do you agree with the critics who argued that Porsche was speculating with shareholders money and that it had become a hedge fund that neglected its core business? (10 points)

Question 3: Downside Risk Analysis (20 points) The Excel file Q3 Downside Risk provides the monthly index levels for HANGSENG (HS), DAX, NIKKEI, DOWJONES and SHANGHAI COMPOSITE (SSE) for the 5-year period from September 2016 to August 2021. Meanwhile, youre considering investing USD10 million in ONE stock fund that mimics one of the market indices for 5 years. Your investment objective is to generate a 5-year holding period return of 50%. The current risk-free rate of interest is 3%. It is believed that the performance of the markets in the foreseeable future is similar to the previous five years.

Using the stock market data provided, estimate the annualized mean return and the annualized standard deviation for each of the five markets. (5 points)

Portfolio	Shanghai	Hang Seng	Dow Jones	DAX	NIKKEI225
Annualized Mean Return
Annualized Standard Deviation

How would you rank the five markets based on the traditional price of risk measure? (5 points)

Portfolio	Shanghai	Hang Seng	Dow Jones	DAX	NIKKEI225
Rank
1 = most preferred; 2 = least preferred

How would you rank the five portfolios with respect to your investment objective? (5 points)

Portfolio	Shanghai	Hang Seng	Dow Jones	DAX	NIKKEI225
Rank
1 = most preferred; 2 = least preferred

Suppose you prefer to invest the USD10 million in the Shanghai market with downside risk limited to no more than 20%. What should be the target wealth in your investment objective? (5 points)

Question 4: Credit Risk Analysis (20 points) BBB Inc. is a CNY-based importer who imports agricultural products from Europe. Currently BBB Inc. has an account payable of 5 million euros that will come due in 3 months. The current exchange rate between CNY and euro is CNY7.6923 per euro. The exchange rate outlook between CNY and euro is highly uncertain and BBBs treasurer has decided to hedge against the exchange rate risk by using forward contract with Nopay Bank. The 3-month forward rate today is CNY 7.7787 per euro.

Use the PROFIT/LOSS graph below to describe the exchange rate exposure of Nopay Bank as a result of providing the forward hedge service to BBB assuming no counterparty default risk. Clearly indicate the exchange rate for each turning point, if any, in the net payoff. (5 points)

Suppose Nopay Bank is concerned about the counterparty risk arising from the possibility that BBB would default on the forward delievery date. Draw a different PROFIT/LOSS graph to describe the corresponding exchange rate exposure of Nopay Bank with counterparty default risk. Clearly indicate the exchange rate for each turning point, if any, in the net payoff.

(5 points)

Suppose Nopay Bank requires BBB Inc to buy credit insurance to protect Nopay Bank against BBBs default. Draw another PROFIT/LOSS graph to describe the credit insurance in terms of call or put option. Clearly indicate the exchange rate for each turning point, if any, in the net payoff. (5 points)

Question 4: Credit Risk Analysis Continued (d) Suppose the CNY interest rate is 5% p.a., the euro interest rate is 0.5% p.a. and the volatility of the CNY/euro exchange rate is 30%. The credit rating of BBB inc. indicates that the probability of default is 5%. Based on the given information and your analysis in parts (a), (b) and (c) above, determine the corresponding cost of credit insurance to BBB Inc. (5 points) Hint: you can use the Excel worksheet provided Q4 Option Pricing to do the calculation. Question 5: Strategic Hedging (20 points) Youre the risk manager of an airline operating in Hong Kong. The current jet fuel price is US$100 per ton and the annualized volatility of jet fuel price is standing at 80% due to economic uncertainty among other factors. The risk-free rate is 5%. Youve decided to hedge the jet-fuel cost for 6 months, and youre considering the various hedging strategies. The 6-month forward price on jet fuel is US$100. The up-front cost of forward is zero. Currently, the 6-month jet-fuel options available are as follows.

Call Options	Strike Price	Put Options	Strike Price
Call L	70	Put L	70
Call S	100	Put S	100
Call H	130	Put H	130

Relative to the NAKED position, evaluate the range of protection against loss, the upside potential, the downside, and the corresponding cost of hedging using the following combinations of forward and options.

Hedge with Forward only	Explanation
Range of Protection
Upside ($)
Downside ($)
Cost ($)

Hedge with Call S only	Explanation
Range of Protection
Upside ($)
Downside ($)
Cost ($)

Hedge with Put S only	Explanation
Range of Protection
Upside ($)
Downside ($)
Cost ($)

Question 5: Strategic Hedging (20 points) Continued

Hedge with Call L and Call H	Explanation
Range of Protection
Upside ($)
Downside ($)
Cost ($)

Hedge with Put L and Call H	Explanation
Range of Protection
Upside ($)
Downside ($)
Cost ($)

Academic Honesty and Integrity The University Regulations on academic dishonesty will be strictly enforced. Please check the University Statement on plagiarism on http://www.hku.hk/plagiarism/. Cheating or plagiarism of any kind would result in an automatic F grade for the course plus strict enforcement of all Faculty and/or University regulations regarding such behavior.

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