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Two measures often used to report firm’s performance
- Return on assets
- Return on equity
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Return on assets
- Profit/dollar of total assets
- Norms for banks = less than 1% on assets
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Return on equity
- profit/dollar of equity capital
- roughly 14%-15%
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Risk
- Chance that actual outcome will differ from expected outcome.
- Equals uncertainty
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The modern FI faces several risks to consider, measure & control
- Interest rate risk
- Credit (default) risk
- Liquidity risk
- Off-balance sheet risks
- Foreign exchange risk
- Operational/technology risk
- Country/sovereign risk
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Interest Rate Risk For FIs
- Sensitivity of future cash flows & value of assets or liabilities-(for borrower their liabilities, or lender their investments) to uncertain changes in interest rates
- For FIs, the deposits of FIs often have different maturity & liquidity characteristics than the assets (loans in the case of a bank) they sell.
- The mismatching of maturities of assets & liabilities ⇒ FIs exposed to risk of lower than expected net interest income.
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Two important aspects of interest rate risk
- Refinancing risk
- Reinvestment risk
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Refinancing risk
risk that cost of reborrowing funds > than returns earned on asset investment
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Example of refinancing risk: Consider an FI that issues 1-yr maturity liabilities (deposits) to provide funds for their term loans (assets ) with 2-yr maturity
- i.e. maturity of assets longer than maturity of liabilities)

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Reinvestment risk
the risk that the returns on the funds to be reinvested will fall below the cost of the funds.
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Example of reinvestment risk: Suppose FI issues securities (borrows funds) at 9% pa for 2 yrs & invested the funds in assets that yield 10% for 1 yr.(has 1-yr loans)
- i.e. maturity of assets smaller than maturity of liabilities.

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Price risk
- Rising interest rates increase discount rates on future cash flows & the price (market value) of that asset or liability ↓.
- So FIs face price risk on their assets & any securities it holds
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Price risk arises from the important relationship
Between interest rates & prices of financial assets.
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Price risk: Example of debt security - Pricing of fixed-interest security e.g. 2 yr bond coupon 8.0% p.a., par value $1,000 with semi-annual interest payments, current market rates 8%
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Price risk: Example of debt security - Part 2 - If firm is seen as more risky i.e. if market expects 10% or comparable current market instruments are now offering 10%:
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For same coupon - Example
a) For 2-year bond, 8% p.a. semi annual coupon, face value $1,000 & market interest rates are 8%
b) For 10-year bond, 8% p.a. semi annual coupon, face value $1,000 & market interest rates are 8%
Now interest rates increase to 10%
- 2-year bond price is now $964.54
- 10-year bond is now $875.38
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So for bonds with the same coupon interest rate...
Longer-term bonds change proportionately more in price than shorter-term bonds for a given interest rate change.
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For same maturity - Example
(i) for 10-year bond, 8% p.a. semi-annual coupon, face value $1,000 & market rates 8% p.a., price is $1,000
(ii) for 10-year bond, 4% pa semi-annual coupon, face value $1,000 & market rates 8%, price is $728.19
Now interest rates increase to 10% pa
- For (i) price is now $875.38 = 12.5% change
- For (ii) price is now $626.13 = 13% change
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So for bonds with same time to maturity...
Price volatility of the lower coupon bond is higher than that of a higher coupon bond.
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Overall, sensitivity of bond prices to interest rate movements depends mainly on...
- Bond's time to maturity
- Coupon
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Forecasting Interest Rates
- Pattern observed with phases of business cycle & interest rates what is the business cycle?
- interest rates tend to ↑ during expansion
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Forecasting Interest Rates - "As businesses & consumers borrow more"
- Interest rate spreads tend to narrow during expansion due to default risk
- Interest rates tend to ↓ during a recession
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Forecasting Interest Rates - "Businesses & consumers borrow less"
Interest rate spreads tend to widen during recession
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Some Approaches to forecasting interest rates
- Money Supply Approach
- Fisher Effect
- Econometric models
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Some Approaches to forecasting interest rates - Money supply approach
- If projected money supply growth > projected GDP income, then interest rates likely to fall
- If projected money supply growth < projected GDP income, then interest rates likely to rise
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Some Approaches to forecasting interest rates - Fisher Effect
Argument that observed changes in nominal interest rates will reflect changes in rate of inflation expected by lenders
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Three methods of measuring interest rate risk:
- Maturity GAP analysis
- Duration GAP analysis
- Scenario analysis
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Measuring Interest rate risk - 1. GAP Analysis (for identifying risk for net interest income)
Identification of assets (loans) & liabilities (deposits) sensitive to interest rate movements within defined planning period
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RSA, RSL
- RSA - interest rate sensitive assets = those on which a floating rate is payable
- RSL - interest rate sensitive liabilities
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Re-pricing analysis
- Risk committee need to group balance sheet items according to what assets & liabilities are exposed
- The Gap (re-pricing gap) is the difference between RSL & RSA
- GAP = RSA- RSL
- Change in income ∆I = Gap × rate change × period
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GAP, RSA, RSL - Example 1 - "Bank A has RSA at $100m & RSL at $85m (RSA>RSL). If market rates are expected to ↑ by 2 % over a year, what are potential effects?"
- Currently cash flow is: GAP = RSA - RSL
- = $15m positive gap
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For change in income
- ∆I = GAP × ∆i
- = 15× 0.02
- = $0.3m
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Positive gap means? So when interest rates rises?
- Positive gap means bank with value of RSAs > RSLs
- When interest rates rise, more assets (loans) are repriced so net interest income rises
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GAP, RSA, RSL - Example 2 - If Bank B has RSA= $48m & RSL= $60m where RSA< RSL, find GAP & change in income if market rates are expected to ↓ by 5 % over a year?"
- GAP = 48-60
- GAP = -12M therefore "negative gap"
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Interest rate decrease by 5%, Change in income:
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Negative gap means? If interest rates rise?
- Bank with value of RSLs > RSAs
- So, bank can pay lower rates on RSLs so interest expense lowers
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If interest rates rise, bank pays higher rates on the RSLs as well as earning higher yields on RSAs
- But the interest expense rises more as more liabilities
- Net interest income falls when rates rise
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GAP, RSA. RSL - Example 3 - "If Bank B has RSA= $100m & RSL= $60m where RSA > RSL, find GAP & change in income if market rates are expected to ↓ by 2 % over a year?"
- GAP = 100-60
- GAP = 40M therefore positive gap
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Interest rate decreases by 2%, Change in income: ∆I = GAP × ∆I
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Then rates fall by 2% so bank pays lower rates on RSLs when repriced to new rates as well as on RSAs
BUT RSAs value greater so receives less income relatively speaking
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If a bank expects rates to ↑...
- Should have a positive gap
- Hold rate-sensitive assets in order to take advantage of future rate increases & hold fixed-rate liabilities to lock in current low rates (GAP is +)
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Bank expects interest rates ↓...
- Should have a negative gap
- Hold fixed-rate assets to lock in high rates & rate-sensitive liabilities
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Management of interest rate risk by duration - 2. Duration Analysis (for measuring risk for value of assets/liabilities)
Provides single measure of risk by applying to balance sheet & offers way to find effect of interest rate risk
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Duration definition
Average lifetime of an asset or liability found by calculating weighted average time to receipt of each element of cash flow of security
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Duration Analysis formula
- D = duration,
- i = interest rate as decimal
- t = number of periods
- Ct = cash payment at period t
- N = number of cash flows
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Duration gap analysis - Example 4 - "The duration of a three-year bond, with face value $1000, annual coupon payments & mkt rates i are both 10% is..."
 - Duration = 2734.4/999.60
- Duration = 2.7355 years
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Duration & Percentage change in the value of a security
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Duration & Percentage change in the value of a security - Example - " A bank manager works out that the bank has a total portfolio asset value of $500 million & its asset duration of 2.90 years, & then wants to know what will be the change in bank’s assets when interest rates fall from 9% to 7.5%?"
- Du(assets) = 2.9
- Rchange = -1.5% = -0.015
- r = 9% = 0.09
- %∆P = 2.90 x -0.01376
- %∆P = 3.99%
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Market value of assets grows by
- = 3.99% ×$500 million
- = $19,954,128.44
- So value of its equity rises
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Problems with duration gap analysis
- Assumption when interest rates change, interest rates on all maturities change by same amount- flat yield curve/ parallel
- Making estimates of proportion of fixed rate assets & liabilities that may be interest rate sensitive
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Credit (Default) risk
Refers to chance borrower will default on the repayment of principal loan or fails to service interest payments when due
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Credit (Default) risk and FIs
- FIs need to both monitor & collect info about any firms whose assets are in their portfolio e.g. corporate bonds.
- One of the advantages FIs have is the ability to diversify away some credit risk by using large numbers
- Most still hold some assets exposed to this risk
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Managing Credit (Default) Risk
Use framework of adverse selection & moral hazard to understand the principles that financial managers or loans officer follow
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Managing Credit (Default) Risk - For all FIs
need to make assessment of the credit quality of potential borrower by criteria
- Borrower’s capital position
- Borrower's capacity to service loan
- Borrower's management skills
- Quality of the security to back loan
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Derivatives- Credit Default Swaps CDS
- Credit risk protection
- Aim: transfer credit risk from one party to another
- Similar to insurance for bond investors
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Credit Default Swaps (CDS) - Two parties to CDS
- 1. Protection seller who agrees to compensate protection buyer if credit default event specified in contract occurs - e.g. a company with low debt, sells CDS contract to buyer
- 2. Protection buyer who has bought some debt instrument or a loan provider & seeks to transfer credit risk to seller
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So if credit default happens, then...
- Protection seller has to pay specified amount to protection buyer
- Or protection buyer delivers the debt specified to protection seller who has to compensate buyer with the specified cash amount
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Liquidity Risk
- when an FI’s liability holders want immediate cash for their financial claims.
- FI must either borrow extra funds or sell off assets to meet demands.
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Management of Liquidity Risk
- First, avoid lumpiness in FI’s liabilities, e.g. for banks to repay deposits by spreading deposit maturity dates.
- Debt scheduling - mismatch of terms applying to deposit & loan contracts - encouraged by changing market conditions
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Two liquidity management strategies
- Borrow funds either from regulators or financial markets (larger FIs can access Euromarkets)
- Have strategy of diversified funding & use asset management & sell securities from securities portfolio e.g. T-bills
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Off-balance Sheet Business & Risk
Off-balance sheet business involves the creation of contingent assets & liabilities (affects future balance sheet)
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Example of off-balance Sheet Business & Risk
- The issuance of stand-by letter of credit guarantees by insurance companies & banks to back issuance of corporate bonds.
- This guarantees payment should the company face problems in either paying the interest &/or principal
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Management of Foreign Exchange (FX) Risk
- To avoid FX risk & be approximately hedged the FI must match its assets & liabilities in each foreign currency (needs to be of same size & maturity to avoid FX risk).
- Domestic FIs may reduce FX risks by trading forward & entering a currency swap agreement or by operating a currency hedge.
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Operational and Technology Risk
FIs have invested heavily in internal & external communications, computers & expanded technological infrastructure in order to ↓ operating costs, ↑ profits & gain new markets.
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Operational and Technology Risk - "Technological risk"
Occurs when these investments don’t produce anticipated savings - diseconomies of scale due to excess capacity, redundant technology & inefficiencies
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Operational and Technology Risk - "Operational risk"
When existing technology &/or back-office systems break down. Could get situation where funds borrowed not recorded but funds lent ⇒ huge net payment on funds lent.
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Country or Sovereign risk - "Country risk"
Difference in laws may not protect FI from legal address for defaulting loans
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Country or Sovereign risk - "Sovereign risk"
e.g. govts of Argentina, Peru & Brazil have imposed restrictions on debt repayments in hard currencies
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