
Explanation:
Under Basel I, the Credit Equivalent Amount (CEA) for each derivative without netting is calculated as: where is the current market value, is the add-on factor, and is the notional principal.
For transaction (a): 7-year interest rate swap million (so ) (Remaining maturity > 5 years, Interest Rate) million million
For transaction (b): 3-year interest rate swap million (Remaining maturity 1 to 5 years, Interest Rate) million million
For transaction (c): 4-month commodity derivative million (Remaining maturity < 1 year, Other Commodities) million million
Total CEA = $6.0 + 7.85 + 12.0 = 25.85$ million
Risk-Weighted Assets (RWA) = Total CEA risk weight = $25.85 \times 0.5 = 12.925$ million
Capital Requirement = RWA million
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Q.21 Jinshi&Houshi Corporation is a large commercial bank operating in mainland China. It has adopted the Basel I framework and must maintain at least 8% capital to risk-weighted assets. The bank makes use of the following add-on factors for derivatives:
Add-On Factors as a Percent of Principal for Derivatives
| Remaining Maturity (yr) | 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 | 8.0 | 15.0 |
The bank made the following transactions during a one-year period:
(a) A seven-year interest rate swap with a notional principal of $400 million and a current market value of -$3 million.
(b) A three-year interest rate swap with a notional principal of $170 million and a current value of $7 million.
(c) A four-month derivative on a commodity with a principal of $80 million that is currently worth $4 million.
Using this information, what is the capital requirement for the bank under Basel I if the counterparty is a corporation (the risk weight for corporations is 0.5, assuming no netting?
A
$1.034 million
B
$2.068 million
C
$0.517 million
D
$1.535 million
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