Podcast
Questions and Answers
What does the APT formula consider when estimating the expected return of a financial asset?
What does the APT formula consider when estimating the expected return of a financial asset?
- Only market risk
- Only industry-specific influences
- Only historical returns
- Multiple sources of risk (correct)
APT is based on the principle that arbitrage opportunities should exist in efficient markets.
APT is based on the principle that arbitrage opportunities should exist in efficient markets.
False (B)
What does β represent in the APT formula?
What does β represent in the APT formula?
Sensitivities of the asset to the respective risk factors
The APT formula includes the risk-free rate, which is often represented by the return on __________.
The APT formula includes the risk-free rate, which is often represented by the return on __________.
Match the following factors with their descriptions:
Match the following factors with their descriptions:
What does i represent in the equation iR = i − π^e^?
What does i represent in the equation iR = i − π^e^?
The wealth elasticity of demand for a luxury asset is equal to 1.
The wealth elasticity of demand for a luxury asset is equal to 1.
What factor measures how much the quantity demanded of an asset changes in response to a change in wealth?
What factor measures how much the quantity demanded of an asset changes in response to a change in wealth?
An asset that people hold regardless of their wealth is considered a __________.
An asset that people hold regardless of their wealth is considered a __________.
Match the following assets with their classifications:
Match the following assets with their classifications:
What is the interest rate of a simple loan of $100 with interest payments totaling $10?
What is the interest rate of a simple loan of $100 with interest payments totaling $10?
The formula for calculating Future Value (FV) is the same as the formula for Present Value (PV).
The formula for calculating Future Value (FV) is the same as the formula for Present Value (PV).
How is the Present Value (PV) calculated for a single cash flow?
How is the Present Value (PV) calculated for a single cash flow?
The interest rate that equates the present value of payments received from a debt instrument with its value today is called ___.
The interest rate that equates the present value of payments received from a debt instrument with its value today is called ___.
Match the following financial terms with their definitions:
Match the following financial terms with their definitions:
What does a diversified portfolio help to eliminate?
What does a diversified portfolio help to eliminate?
CAPM ignores taxes and transaction costs for simplicity.
CAPM ignores taxes and transaction costs for simplicity.
What is the risk-free return in CAPM?
What is the risk-free return in CAPM?
The expected return of a security is directly proportional to its _____ in CAPM.
The expected return of a security is directly proportional to its _____ in CAPM.
Match the following components of CAPM with their definitions:
Match the following components of CAPM with their definitions:
What is a key application of CAPM in corporate finance?
What is a key application of CAPM in corporate finance?
CAPM considers multiple sources of systematic risk.
CAPM considers multiple sources of systematic risk.
Name one limitation of CAPM.
Name one limitation of CAPM.
Which formula represents the Yield to Maturity (YTM)?
Which formula represents the Yield to Maturity (YTM)?
The current yield equals the coupon rate when the bond price is below par.
The current yield equals the coupon rate when the bond price is below par.
What does 'C' represent in the context of bond valuation?
What does 'C' represent in the context of bond valuation?
The formula for current yield is given by $i_{C} = \frac{C}{P_{b}}$, where $P_{b}$ is the _____ of the bond.
The formula for current yield is given by $i_{C} = \frac{C}{P_{b}}$, where $P_{b}$ is the _____ of the bond.
Match the following terms with their definitions:
Match the following terms with their definitions:
What will be the present value of a $1000 zero-coupon bond after one year if the interest rate is 20%?
What will be the present value of a $1000 zero-coupon bond after one year if the interest rate is 20%?
An increase in interest rates will result in a decrease in the price of a zero-coupon bond.
An increase in interest rates will result in a decrease in the price of a zero-coupon bond.
What is the formula to calculate the rate of capital gain (g) on a bond?
What is the formula to calculate the rate of capital gain (g) on a bond?
The duration (D) of a bond is calculated using the formula involving cash payments (CP), interest rate (i), and years to maturity (N). D is expressed as the sum of _____.
The duration (D) of a bond is calculated using the formula involving cash payments (CP), interest rate (i), and years to maturity (N). D is expressed as the sum of _____.
Match the following years to their corresponding present value of cash payments for a zero-coupon bond with a 10% interest rate.
Match the following years to their corresponding present value of cash payments for a zero-coupon bond with a 10% interest rate.
What is the capital gain rate (g) for a zero-coupon bond if its price falls from $385.54 to $193.81?
What is the capital gain rate (g) for a zero-coupon bond if its price falls from $385.54 to $193.81?
The duration of a bond increases if the interest rate decreases.
The duration of a bond increases if the interest rate decreases.
If a bond has a duration of 6.75850, what does this indicate regarding its sensitivity to interest rate changes?
If a bond has a duration of 6.75850, what does this indicate regarding its sensitivity to interest rate changes?
As per the capital gain calculation, if the initial price (P_t) is $385.54 and the price next year (P_t+1) is $193.81, then g equals ____.
As per the capital gain calculation, if the initial price (P_t) is $385.54 and the price next year (P_t+1) is $193.81, then g equals ____.
What cash payment is anticipated from a $1000 ten-year coupon bond at the end of each year if the coupon rate is 10%?
What cash payment is anticipated from a $1000 ten-year coupon bond at the end of each year if the coupon rate is 10%?
Flashcards
Liquidity
Liquidity
The ease and speed with which an asset can be converted into cash without significant loss in value.
Wealth
Wealth
The total resources owned by an individual, including all assets.
Risk
Risk
The degree of uncertainty associated with the return on an asset.
Wealth Elasticity of Demand
Wealth Elasticity of Demand
The percentage change in quantity demanded of an asset divided by the percentage change in wealth.
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Necessity
Necessity
An asset for which the quantity demanded grows less proportionally than wealth, meaning the amount held relative to wealth falls as wealth grows.
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Yield to Maturity
Yield to Maturity
The interest rate that makes the present value of all future cash flows from a debt instrument equal to its current market price.
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Present Value
Present Value
The value today of a future cash flow, taking into account the time value of money.
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Present Value Formula for a Single Cash Flow
Present Value Formula for a Single Cash Flow
The formula used to calculate the present value of a single future cash flow by discounting it back to the present using a discount rate.
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Present Value Formula for a Stream of Cash Flows
Present Value Formula for a Stream of Cash Flows
The formula used to calculate the present value of a series of future cash flows by discounting each flow back to the present and summing them up.
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Simple Interest Future Value Formula
Simple Interest Future Value Formula
A simple formula used to calculate the future value of an investment, taking into account simple interest.
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Yield to Maturity (YTM)
Yield to Maturity (YTM)
The annual rate of return an investor can expect to receive on a bond if they hold it until maturity.
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Current Yield
Current Yield
The yearly coupon payment divided by the current market price of the bond. It's a quick approximation of the YTM, especially when the bond is trading near its par value.
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Yield on a Discount Basis
Yield on a Discount Basis
Represents the return on a discount bond (a bond priced below its face value) calculated based on the difference between the face value and the purchase price, taking into account the time to maturity.
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Return
Return
The rate of return achieved by an investor who holds an investment over a specific period. It includes both the income received (like coupon payments) and any appreciation or depreciation in the value of the investment.
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Rate of Return
Rate of Return
The return expressed as a percentage of the initial investment. It's a standardized way to compare different returns.
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Arbitrage Pricing Theory (APT)
Arbitrage Pricing Theory (APT)
A model that uses multiple factors to explain the expected return of an asset, going beyond just market risk.
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No Arbitrage Principle
No Arbitrage Principle
The idea that investors cannot make riskless profits in efficient markets. If an asset is mispriced, investors will exploit the difference, bringing it back to equilibrium.
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Linear Relationship in APT
Linear Relationship in APT
The relationship between an asset's expected return and the various risk factors is assumed to be linear. In other words, as a risk factor increases, the expected return also changes proportionally.
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Risk Factor Sensitivities (Betas)
Risk Factor Sensitivities (Betas)
The sensitivities, or factor loadings, of an asset to each specific risk factor. These coefficients show how much the expected return of an asset is expected to change for a one-unit change in the risk factor.
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Risk Factors in APT
Risk Factors in APT
Any economic variables or influences that can affect the expected return of an asset. These can include things like inflation, interest rates, or GDP growth.
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Interest Rate Risk
Interest Rate Risk
The percentage change in the price of a bond resulting from a 1% change in interest rates.
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Duration
Duration
A measure of the sensitivity of a bond's price to changes in interest rates. A higher duration means a bond is more sensitive to rate changes.
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Duration Formula
Duration Formula
The formula that calculates the duration of a bond, taking into account the timing and value of future cash flows.
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Zero-Coupon Bond
Zero-Coupon Bond
A bond that pays no interest payments (coupons) and only pays the face value at maturity.
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Present Value of Zero-Coupon Bond
Present Value of Zero-Coupon Bond
The value of a zero-coupon bond today, calculated by discounting the future face value at the current interest rate.
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Relationship Between Duration and Interest Rate Risk
Relationship Between Duration and Interest Rate Risk
The relationship between the duration of a bond and its sensitivity to interest rate changes.
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Rate of Capital Gain on a Bond
Rate of Capital Gain on a Bond
The rate of return on an investment in a bond, expressed as a percentage.
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Discounting
Discounting
The process of calculating the present value of future cash flows, considering the time value of money.
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Face Value of a Bond
Face Value of a Bond
A bond's face value, or the amount that will be paid back to the bondholder at maturity.
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Years to Maturity
Years to Maturity
The remaining time until a bond matures and the principal is paid back.
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Capital Asset Pricing Model (CAPM)
Capital Asset Pricing Model (CAPM)
A model that explains the relationship between the expected return of an asset and its risk. It assumes that investors are rational and seek to maximize returns for a given level of risk.
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Systematic Risk
Systematic Risk
The risk that cannot be diversified away, usually driven by factors that impact all assets in the market. Examples include changes in interest rates, economic growth, or inflation.
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Unsystematic Risk (Company-Specific Risk)
Unsystematic Risk (Company-Specific Risk)
The risk that can be reduced or eliminated by holding a diversified portfolio. It's specific to individual companies or investments.
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Risk-Free Rate (Rf)
Risk-Free Rate (Rf)
The risk-free rate is the return an investor could earn on a risk-free investment, like a government bond. It represents the minimum return required to compensate for the time value of money.
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Risk Premium
Risk Premium
The additional return an investor expects to earn for taking on the risk of investing in a particular security compared to the market. It's calculated as beta multiplied by the market risk premium.
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Beta (β)
Beta (β)
A measure of an asset's volatility relative to the market. It indicates how much an asset's price will move in response to market movements.
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Market Portfolio
Market Portfolio
A theoretical portfolio that includes all assets in the market, representing the perfect diversification across all possible investment opportunities.
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Overview of the Financial System
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Securities (Financial Instruments): Claims on a borrower's future income or assets. They are assets for the buyer and liabilities for the seller.
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Methods of Raising Funds:
- Debt Instruments: a contractual agreement to pay fixed dollar amounts at regular intervals until a maturity date.
- Short-term: maturity less than one year.
- Long-term: maturity over ten years.
- Intermediate-term: maturity between 1 and 10 years.
- Equities: claims to a share in a business' net income and assets.
- If you own 1 share of a company's 100 shares, you are entitled to 1% of the firm's net income and assets.
- Periodic payments (dividends) are made to shareholders.
- No maturity date.
- Considered long-term securities.
- Equity holders are residual claimants, meaning they are paid after all debt holders.
- Debt Instruments: a contractual agreement to pay fixed dollar amounts at regular intervals until a maturity date.
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Primary Markets: New security issues are sold to initial buyers by the issuing company or government agency.
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Secondary Markets: Previously issued securities are resold. Examples include stock exchanges (New York and American) and exchanges for commodities.
Securities (Financial Instruments)
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Brokers: Match buyers and sellers of securities at stated prices.
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Dealers: Link buyers and sellers of securities, acting as a market maker.
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Purpose of Secondary Markets:
- Increase liquidity of financial instruments.
- Determine securities' prices in primary markets.
Underwriting Securities
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Investment banks: Guarantee a price for a corporation's securities and then sell them to the public.
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Exchanges: Central locations where buyers and sellers conduct trades of securities (e.g., NYSE, American Stock Exchange).
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Over-the-counter (OTC) markets: Securities traded between dealers at different locations. Examples: The US government bond market.
Money Market
- Financial instruments with a maturity of less than one year.
- Usually more widely traded than longer-term securities.
- Considered more liquid and less volatile.
Capital Market
- Markeplaces for longer-term debt and equity instruments.
- Often held by financial intermediaries like insurance companies and pension funds.
Money Market Instruments:
- US Treasury Bills: Short-term debt instruments issued by the US government to finance budget deficits.
- No interest payments, but a set payoff amount at maturity.
Negotiable Bank Certificates of Deposit (CDs)
- Debt instrument sold by banks to depositors, paying annual interest and the original purchase price at maturity.
- Negotiable: can be sold to other parties.
- Payable on demand before maturity without penalty.
Banker's Acceptances
- Bank drafts guaranteed by banks, committing to payment at a future date.
- Used in international trade.
Commercial Paper
- Short-term debt instruments issued by large banks and well-known corporations.
Repurchase Agreements (Repos)
- Short-term loans, usually less than two weeks, where Treasury bills or other securities serve as collateral.
Federal Funds
- Overnight loans between banks of their deposits at the Federal Reserve.
- Not loans from the Federal Government or the Federal Reserve.
Federal Reserve System (FED)
- Setting Reserve Requirements: Fraction of transaction deposits that banks must keep in accounts with the FED.
- Regulates the books of banks under supervision.
- Imposes restrictions on assets they can hold.
Regulations Overview
- Government Regulations: The government mandates rules for financial intermediaries to protect the public and regulate financial systems.
- Who can operate: Regulated by state banking commissions and the Office of the Comptroller of the Currency.
- Bookkeeping: Standards for financial records and periodic inspections.
- Restricted activities: Limit the types of activities financial institutions can perform to safeguard public interests.
Federal Funds Rate:
- Closely watched barometer that indicates credit conditions and monetary policy stance.
- High rates = tight credit, indicating potential strains for banks.
- Low rates = easier credit, for smoother financial operations.
Capital Market Instruments
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Stocks: Individual or corporate equity ownership; individual ownership and institutional ownership combined.
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Mortgages: Funds to individuals to purchase real estate, land, or other structures.
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Corporate Bonds: Long-term bonds with very strong credit ratings; corporations issue to raise capital.
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US Government Securities: Long-term debt instruments issued by the U.S. government; they are among the most traded and liquid securities in the U.S. capital market.
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US Government Agency Securities: Obligations from US Government agencies who finance projects and programs by issuing securities to fund their goals.
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