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What is the risk structure of interest rates?
Explains why yields differ across bonds of the same maturity due to different levels of default risk, liquidity, and tax status.
What are the three components of the risk structure?
Default Risk - probability the issuer won’t pay
Liquidity - ease of converting to cash quickly
Tax Status - federal/state tax treatment of interest income
What is the three-step sequence when default risk rises on corporate bonds?
Demand for corporate bonds fall → prices drop, corporate yields rise
Demand for treasuries rises (flight to quality) → Treasury prices rise, yields fall
The risk premium (yield spread) widens between the two
Name the three major credit rating agencies and their top investment-grade ratings.
Moody’s → Aaa
S&P → AAA
Fitch → AAA
Why do Baa bonds have higher yields than Aaa bonds of the same maturity?
They have a higher default risk (investors demand a larger risk premium for higher risk)
How does the Aaa-Baa yield spread behave across the business cycle?
Narrows in expansions (rising confidence, more demand for corporates)
Widens in recessions (fear rises, more demand for treasuries)
Why do municipal bonds trade at lower coupon rates than comparable corporate bonds?
Municipal bond interest is exempt from federal income tax
What happens to muni bond demand and yields if the top federal tax bracket falls?
The tax benefit of munis shrink → demand decreases → muni prices fall → muni yields rise
What is flight-to-quality?
Investors sell risky assets and buy U.S. Treasuries
In the First Brands case (automotive company), what happened to loan prices as credit quality deteriorated?
As default risk rose, loan prices fell pre-bankruptcy.
What is the term structure of interest rates?
Explains why yields differ across bonds of DIFFERENT maturities but similar credit quality - the relationship is plotted as the yield curve.
What are the three empirical facts about interest rates any term structure theory must explain?
Rates of different maturities move together over time
Short-term rates are more volatile than long-term rates
The yield curve is usually upward-sloping
Expectations Theory
Assumption: bonds of different maturities are perfect substitutions
Implication: the long-term rate equals the average of expected future short-term rates
What does an inverted yield curve signal under Expectations theory?
Expected future short-term rates are below current levels
Market Segmentation Theory
Assumption: bonds of different maturities trade in separate, independent markets with distinct supply and demand
Liquidity Premium Theory
Long-term rate = average of expected short-term rates + a liquidity premium that increases with maturity
What does an upward-sloping yield curve signal?
Expected future short-term rates are rising, or the shape simply reflects the liquidity premium. Associated with a healthy/growing economy.
What does an flat yield curve signal?
Expected future short-term rates are roughly unchanged; often a transitional state between expansion and contraction.
What does it mean that a stockholder is a residual claimant?
Stockholders have the LAST claim on assets in bankruptency
What are the two sources of stockholder return?
Dividends (periodic cash payments)
Capital Appreciation/Depreciation (change in stock markets price)
One-Period Valuation Model
P0 = (D1 + P1) / (1 + K) where K=required return & P0 is what price today is
Gordon Growth Model
P0 = D1 / (K - g) where D1 = D0 x (1+g)
Why does the terminal price’s contribution approach zero as the holding period approaches infinity?
Each successive future price is discounted by an increasingly large factor.
Adaptive vs. Rational Expectation
Adaptive: uses past data, slow to update when new info arrives
Rational: uses ALL available info immediately - forecasts are unbiased on average and adjust instantly to the news
EMH - Weak Form
Past prices are fully reflected in current prices
EMH - Semi-Strong Form
All publicly available info is already reflected in prices
EMH - Strong Form
All info (public and private ie. insider) is reflected in prices
What is the Random Walk hypothesis?
Stock price changes are random and unpredictable; past movements give no info about future movements.
What evidence supports the EMH?
The majority of actively managed funds underperform their benchmarks over long horizons
What is arbitrage within the EMH framework?
When a mispricing appears, arbitrageurs buy the underprices asset and sell the overprices one, driving prices back to fair value.
March 2026 CPI Report
Headline inflation diverged from core; energy was s significant contributor
A softer core print reshaped Fed rate-cut expectations and pushed yields lower, signaling reduced pipeline inflation pressure
March 2026 PPI Report
Goods and services PPI Diverged; the downside surprise indicated softer producer-level inflation feeding into future CPI
US - Iran / Straight of Hormuz market impacts
Straight of Hormuz → energy price shock → broader market volatility → drove more investors into treasuries
How does the ceasefire announcement illustrate EMH and Rational Expectations?
Markets quickly repriced
How do soft CPI and PPI prints reshape the yield curve?
Reduced inflation expectations → markets price in Fed rate cuts sooner → short-term yields fall → curve shape changes
What do observable prices accomplished in financial markets?
Signal asset values, enable price discovery, allow investors to compare investments, verify valuation assumptions, and serve as benchmarks.
Direct vs. Indirect Capital Market Access
Direct: lower cost but requires execution capability and bears transaction risk
Indirect: intermediary required higher cost but reduces execution complexity and counterparty risk
Primary vs. Secondary Market
Primary: the issuer receives the proceeds
Secondary: investors trade among themselves
Broker vs. Dealer
Broker: matches buyers and sellers, earns a commission, takes no inventory risk
Dealer: buys/sells from own inventory
Money Markets vs. Capital Markets
Money Markets : short-term instruments (less than 1 year), lower risk, highly liquid (T-bills, commercial paper)
Capital Markets: long-term instruments (bonds/equities), higher risk, wider investor base
What is shadow banking and why does it matter in 2026?
Non-bank financial intermediaries (hedge funds, private credit, pawn shops) that perform bank-like functions with less regulatory oversight.
Systematic risk remains a concern.
Why is liquidity considered the most under appreciated risk?
Liquidity can vanish suddenly even from normally liquid markets.
What are the three functions of money?
Medium of exchange - facilitates transactions without barter
Unit of account - common measure of value
Store of value - preserves purchasing power over time
Money vs. Wealth vs. Income
Money - a liquid asset
Wealth - a stock (total assets minus liabilities)
Income - a flow of earnings over a period of time
What are the components of M1 (most liquid)?
Currency in circulation
Demand Deposits
Checkable deposits
What does M2 (near money) add to M1?
M2 = M1 + savings deposits + small time deposits (CDs) + retail money market fund shares
What is the key distinction between M1 and M2?
M1 is immediately spendable (most liquid). M2 includes M1 plus less liquid near-money assets
M2 is always larger than M1.
Why is interest rate NOT the same as a return?
Return accounts for price changes during the holding period. You can earn the stated coupon rate but still have a negative return if the bond’s price falls.
What is duration risk?
The risk that a bond’s price will fall when interest rates rise. Longer-maturity bonds are MORE sensitive to rate changes and carry a higher duration risk.
Fisher Relationship
Nominal rate = Real rate + expected inflation
Negative real rates benefit borrowers and harm lenders.
How do higher interest rates shift investment decisions?
Higher rates raise the return on savings and increase the cost of borrowing — tipping decisions towards saving and away from investment and consumption across asset classes.
Real vs. Nominal interest rates
Nominal rate: the stated rate on a financial instrument
Real rate: purchasing power adjusted return
Theory of Portfolio Choice - 4 demand drivers
Wealth — more wealth → more bond demand
Expected Return relative to alternatives
Risk — inverse (more risk → less demand)
Liquidity — more liquid → more demand
Why do risk premiums exist in real markets?
Most investors are risk-averse — they require extra expected return (risk premium)
What shifts the bond SUPPLY cureve?
Changes in expected profitability of investment, expected inflation, and government budget deficits
What shifts bond DEMAND curve?
Changes in wealth, expected return on bond vs. alternatives, expected inflation, risk, and liquidity
Fisher Effect
Rising expected inflation → lower expected real return on bonds → demand falls while returns on real assets rise → bond supply increase
Net result: interest rates rise
Why do interest rates move like the economy?
During expansions, investment demand rises, profits rise, and inflation expectation increases — bond S&D shift in ways that push rates higher.
What are the 3 structural parts of the Federal Reserve System?
Board of Governors (7 members, DC)
12 Regional Federal Reserve Banks
Federal Open Market Committee (FOMC & NY is permanent)
Why are Fed Governors given 14-year non-renewable terms?
To insulate monetary policy from short-term political pressure.
What is the Fed’s Dual Mandate?
maximum employment AND stable prices (2% inflation)
What is the composition of the FOMC?
7 Governors + 5 of the 12 Reserve Bank Presidents (NY President is a permanent member)
What is monetary base?
Currency held by the public + reserves held by commercial banks at the fed.
How does an open market purchase expand the monetary base?
The Fed buys treasury securities → credits bank reserves → reserves and monetary base increase → downward pressure on the Fed Funds rate
What is IORB and why doesn’t paying it automatically multiply the monetary base?
Interest on Reserve Balances — the rate the Fed pays banks on reserves. Paying IORD incentivizes banks to hold excess reserves rather than lend.
What are the 4 tools of monetary policy?
Open Market Operations
Discount Rate
Reserve Requirements
Interest on Reserve Balances
What is the corridor system?
The Fed Funds rate is bounded by:
Ceiling = Discount Rate
Floor = IORB
The market rate trades within the 2.
What is SOFR and why is it the benchmark overnight rate?
Secured Overnight Financing Rate — based on actual overnight Treasury-backed repo transacations
TVM Formula
PV = CF / (1 + I)^n
Liquidity Premium Theory Formula
in​=n1​(i1e​+i2e​+⋯+ine​)+ln​
in​ = interest rate on an nnn-period bond
i1e,i2e,…,inei_1^e, i_2^e, \dots, i_n^ei1e​,i2e​,…,ine​ = expected future short-term interest rates
lnl_nln​ = liquidity premium for an nnn-period bond (increases with maturity)
FV Formula
FV = PV x (1 x i)^n
Total Interest Earned
Total Interest = FV - PV
Total Return on a Bond
Current Yield = C / P0
Capital Gail Yield = (P1-P0)/P0
Total Return = Current Yield + Capital Gain Yield