ILA-LPM E Flashcards
Describe 2 situations where disintermediation can occur
- Surrenders increase when CSV crediting rate < market rates
- Policy loan utilization increases when loan rates < CSV crediting rate
Describe how disintermediation has impacted the life insurance industry
- Requires assumptions for surrender rates triggered by interest rates
- Shorter liability durations ⇒ requires shorter asset durations (less yield)
- UL and VUL were created
- Unbundled insurance and investment components (booming term sales)
List 4 risk-related considerations for managing a life insurer’s portfolio
- Valuation concerns from rising interest rates (risk of surplus loss)
- Reinvestment risk from falling interest rates
- Credit risk in the asset portfolio
- Cash flow volatility
Describe risk-related considerations for managing a life insurer’s portfolio:
- Cash flow volatility
- Risk of delays in reinvesting cash flows from investments
Describe risk-related considerations for managing a life insurer’s portfolio:
- Credit risk in the asset portfolio
- Solutions: AVR, portfolio diversification
- Accounting challenges: FAS 115
Describe risk-related considerations for managing a life insurer’s portfolio:
- Reinvestment risk from falling interest rates
- Must fund minimum guaranteed crediting rates
Describe risk-related considerations for managing a life insurer’s portfolio:
- Valuation concerns from rising interest rates (risk of surplus loss)
- Disintermediation: when interest rates rise, liabilities increase and asset MVs decreases
- Solutions: RBC, ALM
What is the key return objective for life insurers?
Key objective: earn a positive net interest spread over crediting rates
Describe the importance of liquidity for life insurers
- Liquidity has become more important as annuity sales have increased
- Disintermediation risk increases as interest rates and inflation increase
- Asset marketability risk – less liquid assets are harder to sell at a fair price
Describe how the following affect life insurance asset portfolio management
- Taxes
- insurers pay taxes on investment income in excess of credited amounts
- Policyholders generally don’t pay tax on investment income inside policies
Describe how the following affect life insurance asset portfolio management
- Insurance is heavily regulated
- (mostly at state level)
- Restrictions on eligible investments
- Prudent investor rule (instead of “laundry list”)
- Valuation method (NAIC’s Security Valuation Book)
Describe how the following affect life insurance asset portfolio management
- Time horizon
- varies by LOB (longer for life products, shorter for annuities)
List some items in a company-specific investment policy statement.
- Introduction (company name/description, intro to risk objectives)
- Investment philosophy (why the company invests)
- Investment goals, objectives, and constraints
- Return objectives (e.g. fund policyholder liabilities, grow surplus)
- Risk tolerance (competitive requirements, ALM, RBC, ratings, etc.)
- List of specific investment constraints (liquidity, horizon, taxes, regulatory, etc.)
Describe tactical asset allocation (TAA)
- involves short-term adjustments
- Creates active risk from active management
- Adjustments might be frequent (e.g. monthly) or ad hoc
Describe strategic asset allocation (SAA)
- based on long-term objectives/expectations
- Results in a policy portfolio (target weights for each asset class)
- Aligns portfolio’s risk profile with the investor’s objectives
- Only change if investor’s long-term objectives change
- Superior to a “horse race”
Describe the results of empirical studies on the effect of asset allocation:
- Terminal wealth impact: asset allocation vs. security selection
- Security selection results in greater dispersion of terminal wealth
- Conclusion: security selection can add value but also risk
Describe the results of empirical studies on the effect of asset allocation:
- regression analysis
- Various regression analysis studies show importance of asset allocation
- Over 90% (R2) of portfolio returns are explained by asset allocation
- Active management explains very little
- Cross-sectional variations (differences across investors)
Describe the results of empirical studies on the effect of asset allocation:
- what is the key takeaway?
- asset allocation explains nearly all of long-term portfolio returns
List the key conclusions on SAA based on empirical studies
- Sidestepping SAA has no empirical support
- Active management can add value but also cost and risk
- On average, active returns < passive returns
Conclusion: You can beat the average active investor by simply being passive
Compare and contrast asset–only vs asset and liability management
-
AO approach
- No explicit liability model
- Set policy portfolio irrespective of liabilities (any liability impact is indirect)
-
ALM approach
- Optimize asset allocation relative to an explicit liability model
- Early approaches: cash flow matching and immunization (duration and convexity)
- Results in higher allocations to fixed income than AO
List the key investor-related considerations for choosing ALM
- Below-average risk tolerance
- High penalties for not meeting the liabilities
- Interest-sensitive liabilities
- Higher portfolio risk limits ability to profitably take risk in other activities
-
Holding fixed income securities is favored by:
- Legal/regulatory requirements
- Tax law
Life insurers should choose ALM
Describe qualitative return objectives with respect to SAA, and give an example.
- Describes the investor’s fundamental goals
- Example: “earn a sufficient return to fund all policyholder liabilities”
Describe some quantitative return objectives with respective to SAA
- AO focus: absolute asset returns
- ALM focus: asset returns net of liability growth
- Arithmetic (additive) vs. multiplicative (geometric)
Describe some quantitative return objectives with respective to SAA
- Arithmetic (additive) vs. multiplicative (geometric)
- Arithmetic (additive) vs. multiplicative (geometric)
- Geometric is better when long-term compounding is significant
- Geometric results in a higher annual return requirement
- Arithmetic may be appropriate if inflation/expenses are negligible
List some quantitative methods for evaluating risk tolerance
- Mean-variance approach
- Discard portfolios if standard deviation is above a cutoff
- Minimize shortfall risk
- Minimize probability of not meeting threshold return
- Work with standard deviation multiples
Describe some quantitative methods for evaluating risk tolerance:
- Minimize probability of not meeting threshold return
- (same result as minimizing shortfall risk)
- Minimize explicit probability: Pr[RP < RL] = Ø(-SFRatio)
Describe some quantitative methods for evaluating risk tolerance:
- Minimize shortfall risk
- risk of falling below a threshold return
- Maximize Roy’s safety-first ratio or the Sharpe ratio
Describe some quantitative methods for evaluating risk tolerance:
- Mean-variance approach
- maximize risk-adjusted expected return (utility)
- Risk-adjusted return Um falls as investor risk aversion and/or σ increases
- Pick the portfolio m with the highest Um
Define the formula for calculating investor utility Um under the mean-variance approach and describe its components
Investor utility Um for a given asset mix m (i.e. a portfolio) is given by:
Um = E(Rm) - 0.005RAσ2m
E(Rm) = expected return of asset mix
0.005RAσ2m = “risk penalty”
RA = value of risk aversion
σm = standard deviation of asset mix
Where RA comes from a questionnaire:
- RA of 6–8: high risk aversion (low risk tolerance)
- RA of 1–2: low risk aversion (high risk tolerance)
Define shortfall risk
Shortfall risk – risk that a portfolio’s value will fall below some minimum acceptable level during a stated time horizon
Describe the “safety-first optimal portfolio”
The “safety-first optimal portfolio” maximizes Roy’s SFRatio
SFRatio = (E(RP) - RL)/σP
- RL = minimum threshold return that the investor insists on meeting
- If RF > RL, always hold the risk-free asset! (SFRatio = infinity)
What is the relationship between the Sharpe ratio and Roy’s SFRatio?
Sharpe ratio = SFRatio using the risk-free rate RF for RL
SharpeRatio = [E(RP) - RF]/σP
Describe the standard normal probability approach for quantifying shortfall risk
Standard normal probability approach: choose portfolio with the lowest:
Pr[Rp < RL] = Ø(-SFRatio)
List 3 the behaviorial influences on asset allocation
- Loss aversion
- Mental accounting
- Regret avoidance
Describe the behaviorial influences on asset allocation:
- Mental accounting
- tendency to separate assets into “buckets”
- Possible solution: multistage strategy or goal-based allocation
- Optimize within 4 buckets: liquidity, income, capital preservation, and growth
- Problems: more complex and ignores correlations across portfolios
Describe the behaviorial influences on asset allocation:
- Regret avoidance
- fear of regret
- May promote diversification
- May limit divergence from peers
- May make investors want to establish risky positions slowly
Describe the behaviorial influences on asset allocation:
- Loss aversion
- most investors worry about losses more than acquiring gains
- Possible solution: use a shortfall risk constraint in asset allocation
-
Prospect theory: investors become risk-seekers if faced with a substantial loss
- Possible solution: ALM
List the criteria for specifying asset classes
- Assets within a class should be relatively homogenous
- Classes should be mutually exclusive
- Classes should be diversifying (not highly correlated with other classes)
- All asset classes ≈ world investable wealth
- Each class should be able to maintain the portfolio’s liquidity
Describe the considerations for including international assets in an insurer’s portfolio
- Non-domestic classes help make up world investable wealth
- Add an asset to a portfolio if it results in mean-variance improvement:
SharpeRatioN > SharpeRatioP x Corr(RN,RP)
List and describe special issues for international asset classes
- Currency risk requires exchange rate assumptions
- Increased correlations in times of stress
-
Emerging market concerns
- Limited shares available
- Limits on amount of non-domestic ownership
- Quality of company information
- Non-normal returns (makes mean-variance analysis invalid)
List some examples of alternative investments
- Private equity
- Real estate
- Natural resource
- Hedge funds
What are some concerns when investing in alternative investments?
- Ability to research before investing
- Lack of information compared to publicly traded assets
- Higher expenses than traditional asset classes
What are the 4 key activities in the investment management process?
- Setting the investment objective (return, risk, and constraints)
- Developing and implementing a portfolio strategy
- Monitoring the portfolio
- Adjusting the portfolio
List the 5 strategies for managing against a bond market index, from the least tracking error to most (i.e. passive vs active strategies)
- Pure bond indexing
- Enhanced indexing by matching primary risk factors
- Enhanced indexing by small risk factor mismatches
- Active management by larger risk factor mismatches
- Full-blown active management (most aggressive mismatches!)
Describe the strategies for managing against a bond market index:
- Enhanced indexing by matching primary risk factors
- Primary risk factors: interest rate level, yield curve twists, and spreads
- Cheaper than pure indexing and allows opportunity for higher yield
Describe the strategies for managing against a bond market index:
- Enhanced indexing by small risk factor mismatches
- Match duration, while actively managing smaller risk factors (sector, quality, etc.)
Describe the strategies for managing against a bond market index:
- Pure bond indexing
- (or full replication)
- Attempts perfect match (own all bonds in index)
- Rare: expensive and inefficient
List the 3 reasons for using indexing
- Lower fees than managed accounts
- Outperforming an index (after costs) is difficult to do consistently
- Excellent diversification
Describe the risk factors to consider when choosing an index
-
Market value risk of portfolio should be similar to benchmark
- Longer portfolios tend to have higher MV risk
-
Income risk should be similar to benchmark
- Longer portfolios tend to have less income risk
-
Liability framework risk – should match A/L investment characteristics
- Use longer bonds for longer liabilities
Describe the 3 risks that a manager should consider when assessing an index’s sensitivity
-
Interest rate risk – changes in level of interest rates (parallel shifts)
- Largest risk source (90%)
- Yield curve risk – changes in yield curve shape (twists, curvature)
- Spread risk – changes in spread over Treasuries (credit risk)
List the primary bond risk factors
- Duration and convexity – price sensitivity to parallel yield shifts
- Key rate duration and present value distribution of cash flows
- Sector and quality percent
- Sector duration and contribution
- Quality (credit) spread duration contribution
- Sector/coupon/maturity cell weights
- Issuer exposure (manage event risk)
What is the tracking risk?
standard deviation of the portfolio’s active return over time
Describe the main disadvantage of using enhanced bond management strategies
Enhanced strategies add costs ⇒ must be earned on top of a passive return
Describe strategies to overcome the high costs of enhanced indexing
- Lower cost enhancements – reduce trading costs and management fees
- Issue selection enhancements – attempt to find undervalued securities
- Yield curve positioning – find consistently mispriced maturities
-
Sector and quality positioning (2 forms)
- Tilt toward short corporates (high yield spread per unit of duration risk)
- Periodic over- or under-weighting of sectors or qualities
- Call exposure positioning – e.g. under-weight in callable bonds if you expect falling interest rates
Describe some additional activities that are carried out by active managers
- Exploit index mismatches (based on manager’s expertise)
- Extrapolate market expectations from market data (e.g. analyze forward rates)
- Independently forecast inputs and compare with market’s expectations
- Example: manager may believe forward rates are too high ⇒ increases duration mismatch by increasing portfolio duration
- Estimate relative values of securities to identify areas of under- or over-valuation
Define total return with respect to bond returns
Total return accounts for coupon income, reinvestment income, and change in price
Semiannual Total Return = (Total Future Dollars/Full Price of Bond)1/n -1
n = total semiannual periods in investment horizon
Describe the benefits of scenario analysis
- Assess distribution of possible outcomes (wider distribution = more risk)
- Reverse scenario analysis: determine the IR movements that would trigger acceptable outcomes
- Calculate contribution of individual components (e.g. impact of a yield twist)
- Evaluate merits of entire trading strategy
List the 2 types of dedication strategies
- Immunization – classical single period and 4 extensions
- Cash flow matching
4 extensions for immunization
- Extensions for non-parallel shifts
- Relax the fixed horizon requirement
- Return maximization (risk and return trade-offs)
- Contingent immunization
Describe cash flow matching
- Exact (basic) cash flow matching
- 2 extensions: symmetric and combination (horizon) matching
List the 2 requirements for classical single period immunization
- Portfolio duration = liability horizon (duration)
- PV of portfolio cash flows = PV of liability cash flows
List the important characteristics of immunization
- Specified time horizon
- Assured rate of return over a fixed holding period
- Portfolio value at the horizon date is insulated from interest rate changes
Describe 2 ways that a portfolio’s duration can change
- As market yields change (convexity effects)
- With the passage of time (as the bond approaches maturity)
Define the immunized target rate of return
-
Immunized target rate of return = total portfolio return assuming no change in the term structure
- Will only equal YTM if the yield curve is flat
- If yield curve is positively sloped, total return < YTM
- If yield curve is negatively sloped, total return > YTM
Describe the steps required for rebalancing to the desired level of dollar duration
- Calculate the new (or current) portfolio DD
- Calculate the rebalancing ratio:
(Target DD/New DD) - 1
- Calculate amount of cash needed for rebalancing:
Rebalancing Ratio x MV of Portfolio
Define spread duration
Spread duration = change in price if the yield spread changes by 100 bps
Describe how classical immunization can be extended for non-parallel interest rate shifts
- Key rate duration (a.k.a. “multi-functional duration”)
-
Arbitrary interest rate changes
- Set portfolio duration = investment horizon
- Changes in portfolio value depend on:
- Structure of investment portfolio
- M2 = immunization risk measure (“maturity variance”)
- If M2 is small, immunization risk is small
Describe the steps under multiple liability immunization
- Set DA = DL
- Asset cash flows must “bracket” liability cash flows
- Shortest asset < shortest liability; longest asset > longest liability
Describe the steps for immunizing general cash flows
- Assume future assets are a hypothetical investment
- Invest available funds to mature beyond liability horizon
- Portfolio duration should match liability horizon
- When the future assets become available:
- Invest new funds in assets that will mature at the liability horizon
- Sell existing longer assets and reinvest at the liability horizon
What is the goal of return maximization for immunized portfolios?
Goal: maximize the lower bound return given the investor’s risk tolerance
Expected Return +/- 2σ
Describe contingent immunization
-
Goal: pursue active management as long as there is a positive safety margin
- Safety margin = Current Portfolio Value - Min Value Required for Immunization
-
Cushion spread = max(0, i - s)
- i = available immunized return
- s = safety net rate of return = required return to reach required terminal value
Describe the sources of liability funding risk
- Interest rate risk – reinvestment and disintermediation risk
-
Contingent claim risk (call and prepayment provisions)
- Call/prepayment features add reinvestment risk
-
Cap risk (floating rate securities with caps)
- If market rates > cap, investor loses additional interest and bond behaves like a fixed bond
Describe the importance of reinvestment risk
Portfolios with the least reinvestment risk have the least immunization risk
Describe the differences between cash flow matching and multiple liability immunization
-
Main problem with cash flow matching:
- Exact matching is usually not possible
- Reinvestment will be required ñ liability funding risk
-
Cash flow matching is inferior to multiple liability immunization because it requires:
- Relatively high cash balance with a conservative rate of return
- Funds available when or before each liability is due
- Cash flow matching is still used sometimes because it is easy!
List the 2 extensions of basic cash flow matching
- Symmetric cash flow matching
- Combination matching (a.k.a. horizon matching)
Describe the 2 extensions of basic cash flow matching
- Symmetric cash flow matching
- Borrow short-term money to meet liability
- Invest in longer assets that will mature after the liability
Describe the 2 extensions of basic cash flow matching
- combination matching (a.k.a. horizon matching)
- Duration-match portfolio and cash flow match initial years
- Ensures short-term cash flows are met (e.g. first 5 years)
- Reduces risk of non-parallel shifts
- Disadvantage: increases cost of funding liability
List the considerations when applying dedication strategies
- Universe considerations (credit risk, embedded options, liquidity)
- Optimization
- Monitoring (periodic performance measurement)
- Transaction costs (initial and rebalancing)
Describe 2 combination dedication strategies
-
Active/passive combination
- Large core passive portfolio with smaller actively managed portfolio
- Active/immunization combination (e.g. contingent immunization)
Define a repo agreement
- Repo – sell a security (e.g. T-bill) and agree to purchase it back (usually the next day)
- Repo interest = Repurchase Price - Sale Price
What are the characteristics of a repo agreement?
- Repos offers a low cost way to borrow short-term funds
-
Repos offers a low cost way to borrow short-term funds
- Term to maturity is usually overnight or a few days
- Can be extended by rolling over
What are the characteristics of a repo agreement?
- Methods of transferring securities between parties
- Physical delivery (highest cost and usually not practical)
- Credit and debit accounts with banks (cheaper but still has fees)
- Deliver to custodial account at seller’s bank (reduces costs)
- No delivery (OK if parties trust each other)
What are the factors that increase the repo rate?
- Lower quality collateral (securities being exchanged)
- Longer repo term (if upward sloping yield curve)
- No physical delivery (higher risk of default)
- Collateral is in high supply or easy to obtain (less attractive for buyer/lender)
- Higher prevailing interest rates in the economy
- Seasonal factors that restrict supply or increase demand for repos
List the 4 non-duration risk measures
- Standard deviation (or variance)
- Semivariance
- Shortfall risk
- Value at risk (VaR)
Describe the non-duration risk measures and their disadvantages:
- Semivariance
- measures dispersion of returns below the target return
- Not widely used: computationally challenging and unreliable for asymmetric returns
Describe the non-duration risk measures and their disadvantages:
- Shortfall risk
- Does not account for the magnitude of losses
Describe the non-duration risk measures and their disadvantages:
- Value at risk (VaR)
- estimates the loss at a given percentile
- does not capture magnitude of losses beyond the specified percentile
Describe the non-duration risk measures and their disadvantages:
- Standard deviation (or variance)
- useful only if returns are normal
- Most portfolio returns are not normal
- The number of variances and covariances becomes very large as the number of bonds n increases:
n(n + 1)/2
- Bond characteristics change over time
List the products used in derivatives-enabled strategies
- Interest rate futures and forwards (bond futures)
- Interest rate swaps (e.g. fixed for floating)
- Interest rate options (calls and puts on physicals or futures, caps)
- Credit risk instruments (forwards, spread options, swaps)
Define interest rate futures and forwards
Long party agrees to buy a bond from short party in the future at the futures price
Define basis risk
Basis = Bond Cash Price - Futures Price
- Basis risk = risk of unpredictable changes in the basis
Define cross hedging
-
Cross hedging – hedged bond not equal to bond underlying the futures contract
- Increases basis risk
List the 3 major sources of hedging error
- Incorrect duration
- Projected basis
- Yield beta
Define an interest rate swap
Contract between two parties to exchange periodic interest payments based on a notional principal amount
Interest Payment = Specified Interest Rate x Notional Amount
Define the dollar duration (DD) of an interest rate swap
Swap DD = Fixed Rate Bond DD - Floating Rate Bond DD
≈ Fixed Rate Bond DD (since a floater’s duration is very small)
List the 3 ALM applications of swaps
- Alter asset and liability cash flows
- Adjust the portfolio duration
- Cheaper/easier alternative to using a package of forward contracts
Define option duration
Option Duration = Duration of Underlying
x Option Delta
x (Price of Underlying/Price of Option Instrument)
List 3 ways that hedging can be done with options
- Buying protective puts – protects against rising interest rates
- Selling covered calls – generates premium income on out-of-the-money calls
-
Interest rate caps, floors, and collars
- Caps pay off if rates > cap rate; floors pay off if rates
- Collar = cap + floor
Describe credit spread options
- Credit spread options only pay off if ITM at maturity
Payoff = max[(Spread at Option Maturity - K)
x Notional
x Risk Factor,0]
- Risk Factor = change in security value per 1 bps change in credit spread
Describe credit forwards
- Credit forwards have similar payoffs to credit spread options, but no downside protection
Payoff = (Spread at Forward Maturity - K)
x Notional
x Risk Factor
*where K = “contracted credit spread”
Describe credit default swaps (CDS)
- Shifts credit risk based on a reference entity from the protection buyer to the protection seller
- Protection buyer pays regular swap premiums to the protection seller
- If a defined credit event causes a loss on the reference entity bond, the protection seller pays the loss to the protection buy
List the advantages and uses of CDS
- Reduce credit risk concentration without selling or shorting assets
- Hedge non-publicly traded debts
- Protection seller does not have to make an upfront investment
- Can be tailored to specific needs since over-the-counter
Define internal cash flows and external cash flows
- Internal cash flows = dividends, interest payments, etc. generated within the account
- External cash flows = contributions and withdrawals made to/from an account
Define the total rate of return
Total rate of return includes realized and unrealized capital gains in addition to income
Describe the time-weighted rate of return (TWR)
TWR = compound growth rate of $1 initially invested in the account
*Must be calculated every time an external cash flow occurs
Describe the money-weighted rate of return (MWR)
MWR = average compound growth rate of all money invested in an account (IRR)
Describe the linked internal rate of return (LIRR)
LIRR blends advantages of TWR and MWR
- Calculate MWR over reasonably frequent time intervals
- Chain-link the MWRs over the entire evaluation period
Remember that MWR is just an IRR (hence the name linked IRR)
Describe the relationship between linked IRR and time-weighted return
LIRR is an acceptable proxy for TWR unless there are unusual circumstances
- “Unusual” = large external cash flows (10%+ of AV) and/or volatile account growth
- Conclusion is based on a BAI study of monthly valuations and daily cash flows
List 2 data quality issues when calculating rate of returns
- Reported rates of return are only as accurate as their inputs
- Reliable performance measures also require appropriate data collection procedures
Describe some data quality issues when calculating rate of returns
- Reported rates of return are only as accurate as their inputs
- Liquid, transparently priced securities have the most reliable returns
- Thinly traded securities – could use matrix pricing
- Estimate prices using dealer-quoted prices for similar securities
- Highly illiquid securities – carry at cost or price at last trade
Describe some data quality issues when calculating rate of returns
- Reliable performance measures also require appropriate data collection procedures
- Report on a trade-date, fully accrued basis
- Reflect impact of unsettled trades and income owed but not paid
Define the conventional yield measure current yield
Current yield – only measures coupon income
Current Yield = Annual Dollar Coupon Interest/Price
Define the conventional yield measure yield-to-maturity (YTM)
-
Yield-to-maturity (YTM) = IRR such that PV(Cash Flows) = Price (or Initial Investment)
- Typically expressed on a BEY basis (nominal semiannual)
- Portfolio IRR can be calculated by combining all bond cash flows
Define the conventional yield measure yield-to-call (YTC)
Yield-to-call (YTC) – like YTM but using a call date
Define total return
Total Return (a.k.a. horizon return) – rate that accumulates full price and coupons to projected total future dollars at end of horizon
Semiannual Total Return = (Total Future Dollars/Full Price of Bond) 1/n -1
n = number of semiannual periods
Describe the significance of interest-on-interest
- Can be very significant (up to 80% of total return)
- If reinvestment rates are less than YTM or YTC, total return < YTM or YTC
- Characteristics that increase exposure to reinvestment risk:
- Longer maturity dates
- Higher coupons
- Zero-coupon bonds have no reinvestment risk if held to maturity
Describe Yield-to-Call
-
YTC = yield if bond is held until called at either
- First call date – the date at which the bond can be called
- First par call date – the date at which the bond can be called at par
- Conservative investors will use min(YTM, YTC) for callable bond selling at a premium
Describe yield-to-worst
-
Yield-to-worst – the lowest possible YTC for any possible future call date
- Most conservative measure for a callable bond
Describe problems that are common to both yield-to-call and YTM
Problems common to both YTC and YTM:
- Assumes coupons reinvested at YTC
- Assumes investor will hold the bond to the assumed call date
Describe problems that are specific to YTC
Problems specific with YTC:
- Can’t reflect reinvestment of proceeds at call date
- Assumes the issuer actually calls the bond at call dates
Describe a floating-rate bond
A floating-rate bond’s coupon fluctuates with a reference rate Rt
Coupont = (Rt + Spread) x Par
Therefore, the coupon values are unknown
Define discount margin with respect to a floating-rate bond
Discount margin = estimated average spread over the reference rate for the life of the security
Describe the steps to determine the discount margin
If selling at a premium or discount:
- Determine future cash flows assuming the reference rate never changes
- Select a margin (spread)
- PV the Step 1 cash flows at a discount rate equal to the reference rate + the spread in Step 2
-
Compare Step 3 to the price
- If the Step 3 PV = price: discount margin = Step 2 spread
- Else, try a different spread in Step 2 and repeat
Describe how to evaluate potential bond swaps
- Pure yield pickup swap – replace a low-yield bond with a higher yield bond
- Rate-anticipation swap – takes advantage of an expected move in interest rates
- Intermarket-spread swap – undertaken if manager believes yield spreads are mispriced by market
- Substitution swap – swapping bonds with identical features to get a bond with higher yield
Define taxable equivalent yield
Taxable equivalent yield = yield on a taxable bond that makes it equivalent to a tax-exempt bond
Taxable Equivalent Yield = (Tax-Exempt Yield)/(1 - Marginal Tax Rate)
List 2 problems with taxable equivalent yield and a possible solution
Problems with taxable equivalent yield:
- Same limitations as YTM
- Taxable and tax-exempt bonds have different reinvestment opportunities
- Only the coupon after taxes can be reinvested for a taxable bond
- The full coupon of a tax-exempt bond can be reinvested
Solution: reflect changing tax rates in total return scenario analysis
Define liquidity risk
Liquidity risk – risk that cash sources are insufficient to meet cash needs under current market conditions or possible future environments
Define the liquidity coverage ratio
Liquidity Coverage Ratio = Cash Sources/Cash Needs
(should be >= 100%)
List 5 cash sources
- Cash inflows from products (premiums, deposits)
- Asset cash flows (investment income and maturities)
- Sales of assets
- Contingent sources
- Ability to monetize illiquid assets (e.g. real estate)
- Uncommitted LOCs and standby/back-up liquidity lines
- Ability to issue new product on a guaranteed basis
- Repos and securities lending
List 3 cash needs
- Cash outflows from products (benefits, withdrawals)
- Operating cash outflows
- Contingent cash needs arising from environmentally-driven factors