Overview of the Financial System

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Questions and Answers

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.

False (B)

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 __________.

<p>government bonds</p> Signup and view all the answers

Match the following factors with their descriptions:

<p>Inflation = Affects purchasing power and investment returns Interest Rates = Influences borrowing costs and consumer spending GDP Growth = Indicator of economic performance Oil Prices = Impact on manufacturing and transportation costs</p> Signup and view all the answers

What does i represent in the equation iR = i − π^e^?

<p>Nominal interest rate (B)</p> Signup and view all the answers

The wealth elasticity of demand for a luxury asset is equal to 1.

<p>False (B)</p> Signup and view all the answers

What factor measures how much the quantity demanded of an asset changes in response to a change in wealth?

<p>Wealth Elasticity of Demand</p> Signup and view all the answers

An asset that people hold regardless of their wealth is considered a __________.

<p>necessity</p> Signup and view all the answers

Match the following assets with their classifications:

<p>Currency = Necessity Art = Luxury Checking account deposits = Necessity Investments in stocks = Luxury</p> Signup and view all the answers

What is the interest rate of a simple loan of $100 with interest payments totaling $10?

<p>10% (B)</p> Signup and view all the answers

The formula for calculating Future Value (FV) is the same as the formula for Present Value (PV).

<p>False (B)</p> Signup and view all the answers

How is the Present Value (PV) calculated for a single cash flow?

<p>PV = FV / (1 + r)^n</p> Signup and view all the answers

The interest rate that equates the present value of payments received from a debt instrument with its value today is called ___.

<p>Yield to Maturity</p> Signup and view all the answers

Match the following financial terms with their definitions:

<p>Cash Flow (CF) = Money coming in or out in a given period Discount Rate (r) = The rate used to determine the present value of future cash flows Future Value (FV) = The expected value of an investment at a future date Present Value (PV) = Current value of future cash flows discounted at the discount rate</p> Signup and view all the answers

What does a diversified portfolio help to eliminate?

<p>Unsystematic risk (D)</p> Signup and view all the answers

CAPM ignores taxes and transaction costs for simplicity.

<p>True (A)</p> Signup and view all the answers

What is the risk-free return in CAPM?

<p>The return from investing in government bonds or a similar no-risk investment.</p> Signup and view all the answers

The expected return of a security is directly proportional to its _____ in CAPM.

<p>beta</p> Signup and view all the answers

Match the following components of CAPM with their definitions:

<p>Risk-free return = Return from no risk investments Risk premium = Compensation for additional risk Beta = Measure of investment risk relative to the market Cost of Equity = Expected return needed by investors</p> Signup and view all the answers

What is a key application of CAPM in corporate finance?

<p>Estimating cost of equity (C)</p> Signup and view all the answers

CAPM considers multiple sources of systematic risk.

<p>False (B)</p> Signup and view all the answers

Name one limitation of CAPM.

<p>Simplistic assumptions or difficulty in replicating the true market portfolio.</p> Signup and view all the answers

Which formula represents the Yield to Maturity (YTM)?

<p>$YTM = \left( \frac{FV}{P} \right)^{\frac{1}{n}} - 1$ (D)</p> Signup and view all the answers

The current yield equals the coupon rate when the bond price is below par.

<p>False (B)</p> Signup and view all the answers

What does 'C' represent in the context of bond valuation?

<p>Coupon payment</p> Signup and view all the answers

The formula for current yield is given by $i_{C} = \frac{C}{P_{b}}$, where $P_{b}$ is the _____ of the bond.

<p>price</p> Signup and view all the answers

Match the following terms with their definitions:

<p>YTM = Annual return expected if the bond is held to maturity Current Yield = Annual coupon payment divided by bond price Discount Yield = Yield based on the difference between face value and purchase price Rate of Return = Payments received and any changes in value expressed as a fraction of purchase price</p> Signup and view all the answers

What will be the present value of a $1000 zero-coupon bond after one year if the interest rate is 20%?

<p>$193.81 (C)</p> Signup and view all the answers

An increase in interest rates will result in a decrease in the price of a zero-coupon bond.

<p>True (A)</p> Signup and view all the answers

What is the formula to calculate the rate of capital gain (g) on a bond?

<p>g = (P_{t + 1} - P_{t}) / P_{t}</p> Signup and view all the answers

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 _____.

<p>weighted maturities</p> Signup and view all the answers

Match the following years to their corresponding present value of cash payments for a zero-coupon bond with a 10% interest rate.

<p>Year 1 = $90.91 Year 2 = $82.64 Year 3 = $75.13 Year 4 = $68.30</p> Signup and view all the answers

What is the capital gain rate (g) for a zero-coupon bond if its price falls from $385.54 to $193.81?

<p>-49.7 (C)</p> Signup and view all the answers

The duration of a bond increases if the interest rate decreases.

<p>True (A)</p> Signup and view all the answers

If a bond has a duration of 6.75850, what does this indicate regarding its sensitivity to interest rate changes?

<p>It indicates moderate sensitivity to interest rate changes.</p> Signup and view all the answers

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 ____.

<p>-0.497</p> Signup and view all the answers

What cash payment is anticipated from a $1000 ten-year coupon bond at the end of each year if the coupon rate is 10%?

<p>$100 (A)</p> Signup and view all the answers

Flashcards

Liquidity

The ease and speed with which an asset can be converted into cash without significant loss in value.

Wealth

The total resources owned by an individual, including all assets.

Risk

The degree of uncertainty associated with the return on an asset.

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

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

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

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

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

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

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)

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

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

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

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

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)

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

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

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)

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

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

The percentage change in the price of a bond resulting from a 1% change in interest rates.

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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

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

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

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

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

The rate of return on an investment in a bond, expressed as a percentage.

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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

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

The remaining time until a bond matures and the principal is paid back.

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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

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)

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)

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

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)

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

A theoretical portfolio that includes all assets in the market, representing the perfect diversification across all possible investment opportunities.

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Study Notes

Overview of the Financial System

  • Securities (Financial Instruments): Claims on a borrower's future income or assets. They are assets for the buyer and liabilities for the seller.

  • 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.
  • Primary Markets: New security issues are sold to initial buyers by the issuing company or government agency.

  • Secondary Markets: Previously issued securities are resold. Examples include stock exchanges (New York and American) and exchanges for commodities.

Securities (Financial Instruments)

  • Brokers: Match buyers and sellers of securities at stated prices.

  • Dealers: Link buyers and sellers of securities, acting as a market maker.

  • Purpose of Secondary Markets:

    • Increase liquidity of financial instruments.
    • Determine securities' prices in primary markets.

Underwriting Securities

  • Investment banks: Guarantee a price for a corporation's securities and then sell them to the public.

  • Exchanges: Central locations where buyers and sellers conduct trades of securities (e.g., NYSE, American Stock Exchange).

  • 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

  • Stocks: Individual or corporate equity ownership; individual ownership and institutional ownership combined.

  • Mortgages: Funds to individuals to purchase real estate, land, or other structures.

  • Corporate Bonds: Long-term bonds with very strong credit ratings; corporations issue to raise capital.

  • 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.

  • 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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