MANG6020 FINANCIAL RISK MANAGEMENT 2018-19
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
MANG6020W1
SEMESTER 2 EXAMINATIONS 2018- 19
FINANCIAL RISK MANAGEMENT
1. A bank has the following transactions with another bank.
- A two-year forward contract on a foreign currency, currently worth £2 million, to buy foreign currency worth £50 million
- A long position in a six-month option on the S&P 500 with the principal equal to £20 million and the current value equal to £4 million
- A two-year swap involving oil with the principal equal to £30 million and the current value of the swap equal to –£5 million
Risk weights are as follows: 0% for cash and government bonds; 20% for claims on OECD banks; 50% for residential mortgages; 100% for corporate loans and corporate bonds
Add-on factors (% of principal)
Remaining Maturity (years) |
Interest rate |
Exchange Rate and Gold |
Equity |
Precious Metals except gold |
Other Commodities |
<1 |
0.0 |
1.0 |
6.0 |
7.0 |
10.0 |
1 to 5 |
0.5 |
5.0 |
8.0 |
7.0 |
12.0 |
>5 |
1.5 |
7.5 |
10.0 |
6.0 |
15.0 |
(a) Estimate the capital required under Basel I for this bank.
Assume the netting amendment does not apply.
[30 marks]
(b) Re-estimate the capital required if the netting amendment in
Basel I ( 1995) applies. Discuss how the application of netting amendment affects the amount of required capital.
[45 marks]
(c) Suppose that this bank also has cash of £50 million and lends £50 million to a company. Re-estimate the capital required if the netting amendment applies. Discuss how your answer differs from the answer to question (b)
[25 marks]
(a) Consider the following problem:
A corporation plans to issue £1 million of 5-year bonds in 3 months. At current yields, the bonds would have a modified duration of 4 years. The corporation desires to hedge their interest rate exposure with 20-year T-bond futures which have a modified duration of 9 years. Each futures contract has a par value of £100,000 and currently sold at £90,000. The corporation estimates that the yield on 20-year bonds changes by 1 basis points for every 1.5-basis-point move in the yield on 5-year bonds
(i) How can the firm use this T-bond futures contract to hedge the risk surrounding the yield at which it will be able to sell its bonds?
[20 marks]
(ii) Suppose that the yield on 20-year bonds actually changes by 1 basis points for every 1-basis-point move in the yield on 5-year bonds. Does the corporation have to review their decision on futures position? What should they do?
[30 marks]
(b) The following information is the balance sheet of Bank A. All
interest rates are fixed and paid annually.
Asset |
Amount |
Rate |
Duration |
Cash |
£7.5 million |
|
|
Loans |
£75 million |
12% |
1.75 years |
Treasuries |
£17.5 million |
9% |
7.00 years |
|
|
|
|
Liabilities and Equity |
Amount |
Rate |
Duration |
Time Deposits |
£35 million |
7% |
1.75 years |
CDs |
£57.5 million |
8% |
2.50 years |
Equity |
£7.5 million |
|
|
Calculate the leveraged adjusted duration gap of this position. Is the bank exposed to interest rate increases or decreases and why?
[50 marks]
3. Consider the following problem:
Suppose that the probability of an entity defaulting during a year conditional on no earlier default is 2%. Assume that defaults always happen halfway through a year. The risk-free rate is 5% per annum with continuous compounding and the recovery rate is 40%.
Assume that payments on a 3-year credit default swap (CDS) are made once a year, at the end of each year. The credit default spread is equal to s basis points. That is, payments are made at the rate of s per year and the notional principal is £1. The accrual payment of 0.5s made in the event of a default.
(a) Calculate the survival probabilities and unconditional default
probabilities for each of the three years.
[20 marks]
(b) Calculate the present value of the expected payments made
on the CDS.
[20 marks]
(c) Calculate the present value of the expected payoff.
[20 marks]
(d) Calculate the present value of the expected accrual payments.
[20 marks]
(e) From the answer of (a) – (d), what is s equal to? Suppose
the CDS had been negotiated some time ago for a spread of 200 basis points. Calculate the value of swap to the seller/buyer.
[20 marks] 4. Discuss how banks reduce and manage their credit risk
[ 100 marks]
2022-05-21