IRR Bank Final 1.2

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    Management of Interest Rate Risk in Banks

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    Interest Rate Risk (IRR)

    Definition:It is the potential loss from unexpected changes ininterest rates which can significantly alter a banksprofitability and market value of equity

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    Interest Rate Risk .. explained

    The amount at risk is a function of the magnitude and directionof interest rate changes and the size and maturity structure of themismatch position

    If interest rates rise, the cost of funds increases more rapidlythan the yield on assets, thereby reducing net income

    If the exposure is not managed properly it can erode both theprofitability and shareholder value

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    Interest Rate Risks - Types

    Interest Rate Risks

    Yie ERepricing Risk Basis Risk Risk Option Risk

    Interest RateRisk

    Re-pricingRisk

    BasisRisk

    EmbeddedOptionRisk

    YieldRisk

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    Re-pricing Risk

    Arises on account of mismatches in rates Can be measured by the measure of risk in different time buckets Information needed

    - Balance sheet on & off on a particular day- Business plan & expected income / expenses ignored- Static vs. Dynamic

    Liabilities Assets SpreadCapital(Crore) @ROI Maturity

    Investment(Crore) @ROI Maturity

    Scenario-1Rs 100 9% One Year Rs 100 10% Two Year

    Profit1% (1Crore)

    Scenario-2Rs 100 11% Two Year Rs 100 10% Two Year

    Loss1% (1Crore)

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    Basis Risk

    Interest rates on assets and liabilities do not change in the sameproportion

    Interest rates movement is based on market perception of risk andalso market imperfections

    Therefore, basis risk arises when interest rates of different assets andliabilities change in different magnitudes

    The `basis form of IRR results from the imperfect correlation betweeninterest adjustments when linked to different index rates despitehaving the same re-pricing characteristics

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    Basis Risk - An Illustration

    Repricing Liabilities (Rs Crores) Repricing Assets(Rs Crores)Savings Deposit 50 Call Money 50

    Fixed Deposit 50 Cash Credit 40

    Total 100 Total 90

    Gap(-) 10

    Calculation of Standardised Gap Fall in Rates Fall in Amount(Rs Crores)

    Call Money 50 * 1.0% 0.50

    Cash Credit 40 * 0.7% 0.28

    A. Decrease in Interest Income (-) 0.78

    Savings Deposit 50 * 0.5% 0.25

    Fixed Deposit 50 * 0.4% 0.20

    B. Decrease in Interest Expense (+) 0.45

    Loss in Net Interest Income (A-B) (-) 0.33 (Rs 33 lacs)

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    Embedded Option Risk

    Risks arising out of prepayment of loans and bonds (with put or call options)and / or premature withdrawal of deposits before their stated maturity dates

    Liabilities Assets SpreadCapital(Crore) @ROI Maturity

    Loan(Crore) @ROI Maturity

    Scenario-1Rs 100 8% 90 Days Rs 100 10% 90 Days

    Profit2% (0.49 Crore)

    Scenario-2

    Rs 1008% 90 Days Rs 100 10% 90 Days 2% (0.164 Crore)

    for 30 days

    Interest Ratedeclined after 30days to 9%

    60 Days 1% (0.164 Crore)for 60 days

    Total 0.328 Crore

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    Yield Curve Risk - An Illustration

    Liabilities Assets SpreadCapital @ ROI Maturity Loan @ ROI Maturity(Crore) (Crore)

    Scenario-1 3 year Loan 3 year ProfitRs100 fixed(quar 13.5% Rs100 16% float(qua 2.5%Reference: terly Reference: rterly (2.5crore)91 day T-Bill repriced) 364 day T-Bill @13% repriced)@12.5%

    Scenario-2 90 90 ProfitRs100 15% days Rs100 16% days 1.0%Reference: Reference: (1crore)91 day T-Bill 364 day T-Bill @13%@14%

    Date 91 T-Bill Deposit 364 T-Bill Loan Spread22.05.2008 4.48% 5.48% 4.62% 7.62% 2.14%08.08.2008 4.93% 5.93% 4.85% 7.85% 1.92%

    08.12.2008 4.71% 5.71% 4.24% 7.24% 1.53%

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    Interest Rate Risks - Measurement

    Interest Rate Risks

    Yie ERepricing Risk Basis RiskRisk Option Risk

    Approachesto Measure

    IRR

    Maturity Gap

    Analysis

    Duration Gap

    AnalysisSimulation

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    Maturity Gap Analysis

    MGA distributesinterest rate sensitiveassets, liabilities and OBSpositions into a certainnumber of predefined timebands according to their maturity (if fixed rate) or time remaining to their nextre-pricing (if floating rate)

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    Maturity Gap Analysis

    How is it done?The risk sensitive What is the Gap?

    Objective: assets and risk The gap is thenTo improve the sensitive liabilities calculated by

    net interest are grouped into considering theincome in the maturity buckets difference betweenshort run over based on maturity the absolute

    discreet periods and the time until the values of the RSAsof time called the first possible and RSLs.

    gap periods. re-pricing due to RSG=RSAs-RSLschange in the interestrates

    Relative differences in each maturity bucket - represents the sensitivity in that

    band.

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    Maturity Gap Method (IRS)

    Three Options:

    A) RSA > RSL = Positive Gap

    B) RSL > RSA = Negative Gap

    C) RSL = RSA = Zero Gap

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    Interest Rate Risks

    Yie ERepricing Risk Basis RiskRisk Option Risk

    Gap Change inInterest Rate

    Change inInterestIncome

    Change inInterest

    Expense

    Change in NetInterestIncome

    Positive Increase Increase > Increase Increase

    Positive Decrease Decrease > Decrease Decrease

    Negative Increase Increase < Increase Decrease

    Negative Decrease Decrease < Decrease Increase

    Zero Increase Increase = Increase None

    Zero Decrease Decrease = Decrease None

    Maturity Gap Summary

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    Example of Negative Gap

    Consider the following balance sheet:

    Expected Balance Sheet for Hypothetical Bank Assets Yield Liabilities Cost

    Rate sensitive $ 500 8.0% $ 600 4.0%

    Fixed rate $ 350 11.0% $ 220 6.0%Non earning $ 150 $ 100$ 920

    Equity$ 80

    Total $ 1,000 $ 1,000

    NII = (0.08 x 500 + 0.11 x 350) - (0.04 x 600 + 0.06 x 220)NII = 78.5 - 37.2 = 41.3NIM = 41.3 / 850= 4.86%

    GAP = 500 - 600 = -100

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    Consider the following balance sheet:

    1% Increase in Short Term Rates Assets Yield Liabilities Cost

    Rate sensitive $ 500 9.0% $ 600 5.0%

    Fixed rate $ 350 11.0% $ 220 6.0%Non earning $ 150 $ 100$ 920

    Equity$ 80

    Total $ 1,000 $ 1,000

    NII = (0.09 x 500 + 0.11 x 350) - (0.05 x 600 + 0.06 x 220)NII = 83.5 43.2 = 40.3NIM = 40.3 / 850= 4.74%

    GAP = 500 - 600 = -100

    Example of Negative Gap

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    Inferences from above options:

    Scenario Strategy

    Rising Interest Rates

    Declining Interest Rates

    Uncertain situation(May not occur in reality)

    Maintain a positive gap

    Maintain a negative gap

    Maintain a zero gapNo benefits

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    Duration Gap Analysis

    Duration is a measure of the percentage change in theeconomic value of a position that occurs given a small changein level of interest rate

    It concentrates on the price risk and the reinvestment risk whilemanaging the interest rate exposure

    It also measures the effect of rate fluctuation on the marketvalue of the assets and liabilities and NIM with the help of duration

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    Duration Gap Analysis ..Illustration

    Assets and Liabilities chart of Bharath Bank is presented here below along withtheir durations and interest rates. Based on the information, identify the NIM.During the forecasting period of one year, if the interest rates rise/fall by 2%,what would be its implication on the NIM of Bharath Bank?

    Liabilities Amount Duration Int. Rate Assets Amount Duration Int. Rate(months) (months)(Crore) (%) (Crore) (%)

    Equity Cash200 200

    ST STDeposit Loans1,800 5.5 11.5 1,800 2.75 12.5

    LT LTDeposit Loans2,500 23.7 15 2,000 23 16.5

    Others Investments500 11.5 11 1,000 10.5 13.5

    5,000 5,000

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    Duration Gap Analysis

    L iabilities Amount(Cr)

    Duration(Months)

    InterestRate (%)

    IncreasedInt. Rate

    (%)

    DecreasedInt. Rate (%)

    Assets Amount(Cr)

    Duration(Months)

    InterestRate (%)

    IncreasedInt. Rate

    (%)

    DecreasedInt. Rate

    (%)

    Equity 200 Cash 200

    STDeposit 1,800 5.5 11.5 13.5 9.5 STLoans 1,800 2.75 12.5 14.5 10.5

    LTDeposit 2,500 23.7 15 15 15

    LTLoans 2,000 23 16.5 16.5 16.5

    Others 500 11.5 11 13 9 Invst 1000 10.5 13.5 15.5 11.5

    5,000 5,000

    InterestExpense 637 683 591

    InterestIncome 690 746 634

    NII 53 63 43

    NIM 0.0106 0.0126 0.0086

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    Simulation

    Data Requirement

    Maturity and re-pricingRate scenarios

    Alternative managementResponse under differentscenariosYield curvesPrepayment tablesBehavioural pattern of assetsand liabilitiesConsistency of assumptions

    What is it?

    Simulates performance under alternative interest rate scenarios

    and assesses the resulting volatilityin NII / NIM / ROA / ROE

    A financial model incorporatinginter-relationship of assets,liabilities, prices, costs, volume,

    mix and other business relatedvariables

    Computer generated scenariosabout future and response to thatin a dynamic way

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    Simulation

    Advantages

    - Forward looking

    - Dynamic

    - Lessens the role of crisis management

    - Increases the value of strategic planning

    -Enhance capability of analysis

    - Interpretation easy

    - Timing of cash flows captured accurately

    Disadvantages

    - Accuracy depends on quality of data,strength of the model and validity of assumptions

    - Time consuming

    - Huge investment in computer

    - Requires highly skilled personnel

    - Analysis paralysis

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    Model

    Deploy

    Mo itor ly e

    ct

    I tere t R te Ri k M geme t

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    Interest Rate Risk Management

    * The ability of these types of models to capture this type of risk will vary with them

    Interest Rate Risk Models

    Risk Measurement Systems

    GAPReport

    EarningSimulation Economic Valuation

    Short-term earning exposure Yes Yes

    Generally does notdistinguish short-term

    accounting earnings fromchanges in economic value

    Long-term exposure Yes Limited* Yes

    Repricing Risk Yes Yes YesBasis Risk Limited* Yes Limited*

    Yield Curve Risk Limited* Yes Yes

    Option Risk Limited* Limited* Yes

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    Benefits from IRR management

    Defined financial targets based on corporate risk tolerances

    Reduced earnings volatility

    Improved cash flow forecasting

    Improved corporate credit ratings

    Defined risk management and hedge methodologies

    Improved interest rate exposure forecasting and measurement capabilities

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    Based on the quantity of interest rate risk and quality of interest rate risk management, we can evaluate the adequacyof the banks capital

    Determine the component rating for sensitivity to market risk

    Determine further the effect of interest rate and earnings on

    the business in a macroscopic view

    Conclusion

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