Market and Liquidity Risk Management
Basic Approach
We define market risk as the risk of losses incurred by the group due to fluctuations in interest rates, stock prices and foreign exchange rates. Our definition includes the risk of losses incurred when it becomes impossible to execute transactions in the market because of market confusion or losses arising from transactions at prices that are significantly less favorable than usual. We define liquidity risk as the risk of losses arising from funding difficulties due to a deterioration in our financial position that makes it difficult for us to raise necessary funds or that forces us to raise funds at significantly higher interest rates than usual. MHFG manages market and liquidity risk for the group as a whole.
Market Risk Management Structure
Market Risk Management of MHFG
Our board of directors determines key matters pertaining to market risk management policies. The ALM & market risk management committee of MHFG broadly discusses and coordinates matters relating to basic asset and liability management policies, risk planning and market risk management and proposes responses to emergencies such as sudden market changes. The chief risk officer of MHFG is responsible for matters relating to market risk management planning and operations.
The Risk Management Division of MHFG is responsible for monitoring market risk, reports and analyses, proposals, setting limits and guidelines, and formulating and implementing plans relating to market risk management. The Risk Management Division assesses and manages the overall market risk of the group. It also receives reports from our principal banking subsidiaries and other core group companies on their market risk management that enable it to obtain a solid grasp of the risk situation, submitting reports to the chief executive officer on a daily basis and to our board of directors and the executive management committee of MHFG on a regular basis.
To manage market risk, we set limits that correspond to risk capital allocations according to the risk profiles of our principal banking subsidiaries and other core group companies and thereby prevent market risk from exceeding our ability to withstand losses based on our financial strength represented by capital, etc. The amount of risk capital allocated to market risk corresponds to VaR and additional costs that may arise in order to close relevant positions. For trading and banking activities, we set limits for VaR and for losses. For banking activities, we set position limits based on interest rate sensitivity as needed.
These limits are discussed and coordinated by the ALM & market risk management committee, discussed further by the executive management committee, then determined by the chief executive officer. Various factors are taken into account including business strategies, historical limit usage ratios, risk-bearing capacity (profits, total capital and risk management systems), profit targets and the market liquidity of the products involved.
- Market and Liquidity Risk Management Structure

Market Risk Management at Our Principal Banking Subsidiaries and Other Core Group Companies
Our principal banking subsidiaries which account for most of the group's exposure to market risk have formulated their basic policies in line with the basic policies determined by MHFG. Their boards of directors determine important matters relating to market risk management while their chief executive officers are responsible for controlling market risk. Their respective business policy committees, including their ALM & market risk management committees, are responsible for overall discussion and coordination of market risk management. Specifically, these committees discuss and coordinate matters relating to basic asset and liability management policies, risk planning and market risk management and propose responses to emergencies such as sudden market changes. The chief risk officer of each subsidiary is responsible for matters pertaining to planning and implementing market risk management. Based on a common group risk capital allocation framework, the above-mentioned companies manage market risk by setting limits according to the risk capital allocated to market risk by MHFG.
These companies have established specialized company-wide market risk management divisions to provide integrated monitoring of market risk, submit reports, analyses and proposals, set limits and formulate and implement plans relating to market risk management. The risk management divisions of each company submit reports on the status of market risk management to their respective chief executive officers and top management on a daily basis, and to their board of directors and executive management committee on a regular basis. They also provide regular reports to MHFG. To provide a system of mutual checks and balances in market operations, they have established middle offices specializing in risk management that are independent of their front offices, which engage in market transactions, and their back offices, which are responsible for book entries and settlements. When VaR is not adequate to control risk, the middle offices manage risk using additional risk indices, carry out stress tests and set stop loss limits as needed. They monitor their market liquidity risk for individual financial products in the market while taking turnover and other factors into consideration.
Liquidity Risk Management Structure
Liquidity Risk Management of MHFG
Our liquidity risk management structure is generally the same as the market risk management structure described above. However, the head of the Financial Control & Accounting Group of MHFG is additionally responsible for matters relating to planning and running cash flow management operations, while the Financial Planning Division is responsible for monitoring and adjusting the cash flow management situation and for planning and implementing cash flow management. Reports on the cash flow situation are submitted to the ALM & market risk management committee, the executive management committee and the chief executive officer.
We measure liquidity risk using indices pertaining to cash flow, such as limits on funds raised in the market. Limits on liquidity risk are discussed and coordinated by the ALM & market risk management committee, discussed further by the executive management committee and determined by the chief executive officer. We have established classifications for the cash flow conditions affecting the group, ranging from "normal" to "cause for concern" and "critical," and have established procedures for dealing with cases which are deemed to fall into the "cause for concern" or "critical" categories. In addition, we have constructed a system under which we will be able to respond smoothly in the event of emergency situations that affect our funding by establishing action plans.
Liquidity Risk Management at Our Principal Banking Subsidiaries and Other Core Group Companies
The liquidity risk management structures of MHCB, MHBK and MHTB are generally the same as the aforementioned market risk management structures, but the senior executives responsible for risk management are responsible for matters pertaining to planning and conducting liquidity risk management, while the senior executives of the asset and liability management and trading units are responsible for matters pertaining to planning and conducting cash flow management.
The methodologies used for ensuring precise control of liquidity risk include the formulation of management indices pertaining to cash flow, such as limits on funds raised in the market. As with MHFG, the above-mentioned companies have established classifications for the cash flow affecting them, ranging from "normal" to "cause for concern" and "critical," and have established procedures for cases which are deemed to fall into the "cause for concern" or "critical" categories.
Each subsidiary has adopted stringent controls that call for the submission of reports on liquidity risk management and cash flow management to the ALM & market risk management committee and other business policy committees, the executive management committee and the chief executive officer of each subsidiary.
Status of MHFG's Market Risk
Back Testing
In order to evaluate the effectiveness of market risk measurements calculated using the value-at-risk method, we carry out regular back tests to compare value-at-risk with assumptive profits and losses. Assumptive profits and losses accounts for general market risk. The graph below shows daily value-at-risk of trading activities for the fiscal year ended March 31, 2011, and the corresponding paired distribution of profits and losses:
We had one case where profits/losses exceeded value-at-risk during the period.
- Fiscal 2010 Back Testing

Stress Testing
Because the value-at-risk method is based on statistical assumptions, we conduct stress testing to simulate the levels of losses that could be incurred in cases where the market moves suddenly to levels that exceed these assumptions. The stress testing methods we use include the calculation of losses on the basis of the largest fluctuations occurring over a period of more than five years and the calculation of losses based on market fluctuations occurring during historical market events. In addition, we conduct stress testing based on a sharp drop in the price of securitization and other products due to diminished market liquidity. The table below shows the assumed maximum loss results of stress testing in trading activities using the methods described above:
| Assumed maximum loss result calculated by stress testing (holding period: one month) |
61.0 |
|---|---|
| Assumed maximum loss result calculated by stress testing based on a sharp drop in the price of securitization and other products due to diminished market liquidity (holding period: one year) |
22.8 |
Outlier Criteria
As part of the new capital adequacy requirements under Basel II, the losses arising from a banking book in hypothetical interest rate shock scenarios under certain stress conditions are calculated and compared with the sum of Tier 1 and Tier 2 capital. If the interest rate risk of the banking book leads to an economic value decline of more than 20% of the sum of Tier 1 and Tier 2 capital, we will be deemed an "outlier" and may be required to reduce the banking book risk or adopt other responses. We measure losses arising from our banking book each month as a part of our stress tests.
The table below shows the results of calculations of losses in the banking book in cases where interest rate fluctuations occur under stress conditions. The results of calculations of losses in the banking book show that they are 9.9% of broadly-defined capital. Because the amount of risk on the banking book is therefore well under the 20% threshold and within controllable limits, we do not fall under the "outlier" category. The loss ratio to capital increased from the previous fiscal year due mainly to the expansion of interest rate risk related to the JPY for the fiscal year ended March 31, 2011.
| Amount of loss | Broadly-defined capital | Loss ratio to capital | |
|---|---|---|---|
| At March 31, 2009 | 532.4 | 6,223.6 | 8.5% |
| At March 31, 2010 | 681.4 | 7,658.0 | 8.8% |
| At March 31, 2011 | 784.9 | 7,910.9 | 9.9% |
| Effect of JPY interest rate | 572.0 | − | |
| Effect of dollar interest rate | 174.2 | ||
| Effect of euro interest rate | 34.9 | ||
- Notes:1.In the above results of calculations of losses, a part of demand deposits without fixed intervals for amending applicable interest rates is deemed core deposits and is treated accordingly in the calculation.
- 2.For the interest rate shock scenario used in connection with the above figures, we generate annual rate fluctuation data for five years derived from daily raw historical interest rate data of the past six years and then apply the actual fluctuation data, which show a rise in interest rates, at a 99.0% confidence level to the shock scenario.
Value-at Risk
We use the VaR method, supplemented with stress testing, as our principal tool to measure market risk. The VaR method measures the maximum possible loss that could be incurred due to market movements within a certain time period (or holding period) and degree of probability (or confidence interval).
Trading Activities
VaR related to our trading activities is based on the following:
- variance co-variance model for linear risk and Monte-Carlo simulation for non-linear risk;
- confidence interval: one-tailed 99.0%;
- holding period of one day; and
- historical observation period of one year.
The following tables show the VaR related to our trading activities by risk category for the fiscal years ended March 31, 2009, 2010 and 2011 and as of March 31, 2009, 2010 and 2011:
| Fiscal 2008 | ||||
|---|---|---|---|---|
| Daily average | Maximum | Minimum | At March 31 | |
| Interest rate | 2.3 | 3.9 | 1.6 | 2.2 |
| Foreign exchange | 2.4 | 5.1 | 1.0 | 2.6 |
| Equities | 1.3 | 2.3 | 0.3 | 0.5 |
| Commodities | 0.2 | 0.3 | 0.0 | 0.0 |
| Total | 4.7 | 7.7 | 3.3 | 3.8 |
| Fiscal 2009 | ||||
|---|---|---|---|---|
| Daily average | Maximum | Minimum | At March 31 | |
| Interest rate | 1.7 | 2.9 | 1.0 | 1.2 |
| Foreign exchange | 1.4 | 2.7 | 0.4 | 2.1 |
| Equities | 1.2 | 3.2 | 0.3 | 0.3 |
| Commodities | 0.1 | 0.3 | 0.0 | 0.0 |
| Total | 3.1 | 4.8 | 2.1 | 2.8 |
| Fiscal 2010 | ||||
|---|---|---|---|---|
| Daily average | Maximum | Minimum | At March 31 | |
| Interest rate | 1.5 | 2.1 | 1.1 | 1.4 |
| Foreign exchange | 1.4 | 2.4 | 0.6 | 1.9 |
| Equities | 1.1 | 1.8 | 0.4 | 1.1 |
| Commodities | 0.0 | 0.3 | 0.0 | 0.1 |
| Total | 2.9 | 3.8 | 2.2 | 3.6 |
The following graph shows VaR figures of our trading activities for the fiscal year ended March 31, 2011:
- Fiscal 2010 VaR (Trading Activities)

The following table shows VaR figures of our trading activities for the fiscal years indicated:
| Fiscal 2008 | Fiscal 2009 | Fiscal 2010 | Change | |
|---|---|---|---|---|
| As of fiscal year end | 3.8 | 2.8 | 3.6 | 0.8 |
| Maximum | 7.7 | 4.8 | 3.8 | (0.9) |
| Minimum | 3.3 | 2.1 | 2.2 | 0.0 |
| Average | 4.7 | 3.1 | 2.9 | (0.2) |
| The number of cases where profits/losses exceeded VaR | 1 | no cases | 1 | - |
Strategically-held Equity Portfolio Management Activities
We take the market risk management approach with use of VaR and risk indices for strategically-held equity portfolio management activities as well as for trading activities and non-trading activities. The risk index for strategically-held equity portfolio management for the fiscal year ended 31 March 2011, sensitivity of the strategically-held equity portfolio to the 1% change in equity index of TOPIX, was JPY 25.7 billion.
Non-Trading Activities
The VaR related to our banking activities is based on the same conditions as those of trading activities, but the holding period is one month.
The graph below shows the VaR related to our banking activities excluding our strategically-held equity portfolio for the year ended March 31, 2011.
- Fiscal 2010 VaR (Banking Activities)

The following table shows the VaR figures relating to our banking activities for the fiscal years indicated:
| Fiscal 2008 | Fiscal 2009 | Fiscal 2010 | Change | |
|---|---|---|---|---|
| As of fiscal year end | 248.1 | 167.0 | 211.3 | 44.3 |
| Maximum | 335.8 | 255.6 | 227.6 | (28.0) |
| Minimum | 173.3 | 160.2 | 137.8 | (22.4) |
| Average | 251.5 | 206.4 | 188.6 | (17.8) |
Characteristics of VaR Model
VaR is a commonly used market risk management technique. However, VaR models have the following shortcomings:
- By its nature as a statistical approach, VaR estimates possible losses over a certain period at a particular confidence level using past market movement data. Past market movement, however, is not necessarily a good indicator of future events, particularly potential future events that are extreme in nature.
- VaR may underestimate the probability of extreme market movements.
- The use of a 99.0% confidence level does not take account of, nor makes any statement about, any losses that might occur beyond this confidence level.
- VaR does not capture all complex effects of various risk factors on the value of positions and portfolios and could underestimate potential losses.
Interest Sensitivity Analysis
We also conduct interest sensitivity analyses of interest risk, our main source of market risk. The following table shows sensitivity to JPY interest risk in our banking activities as of the dates indicated. As shown in the table, we have reduced overall sensitivity to the risk of future increases in interest rates. Interest rate sensitivity (10 BPV) shows how much net present value varies when interest rates rise by 10 basis (0.1%), and it explains the impact of interest rate movements on net present value when short- and long-term interest rates behave differently.
| 2009 | 2010 | 2011 | Change | |
|---|---|---|---|---|
| Up to one year | (9) | (10) | (10) | 0 |
| From one to five years | (25) | (28) | (36) | (7) |
| Over five years | (18) | (14) | (19) | (4) |
| Total | (53) | (53) | (65) | (11) |
Market Risk Equivalent
In order to calculate the amount of capital necessary to meet the capital requirements relating to market risk (the "market risk equivalent"), we apply internal models to calculate general market risk (risks related to factors that apply generally to the market, e.g., interest rates, foreign exchange rates) and the standardized measurement method to calculate specific risks (risks other than general market risk, e.g., credit quality and market liquidity of an individual security or instrument). In addition, our internal models are applied to trading transactions with market liquidity based on the relevant holding period. Under the internal models, the market risk equivalent is calculated by taking the greater of (i) VaR on the calculation date and (ii) the average VaR for the preceding 60 business days (including the calculation date) multiplied by a multiplication factor ranging from 3.00 to 4.00 that is determined based on the number of times VaR is exceeded upon back testing.
The following table shows total market risk equivalent as of the dates indicated calculated using the standardized measurement method and internal models:
| 2010 | 2011 | Change | |
|---|---|---|---|
| Calculated using standardized measurement method | 77.9 | 84.5 | 6.6 |
| Calculated using internal models | 25.9 | 26.6 | 0.6 |
| Total market risk equivalent | 103.8 | 111.1 | 7.3 |
Note: VaR used to calculate Market Risk Equivalent is based on the following:
- variance co-variance model for linear risk and Monte-Carlo simulation for non-linear risk;
- confidence interval: one-tailed 99.0%;
- holding period of 10 days; and
- historical observation period of one year.
(As of Jun 21, 2011)






