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Questions and Answers

If the interest rate is zero, a promise to receive a $100 payment one year from now is:

  • Less valuable than receiving $100 today.
  • Equal in value to receiving $101 today.
  • More valuable than receiving $100 today.
  • Equal in value to receiving $100 today. (correct)
  • Present value is higher when the future value of the payment is:

  • Higher, the time until payment is shorter, and the interest rate is lower. (correct)
  • Higher, the time until payment is longer, and the interest rate is lower.
  • Lower, the time until payment is shorter, and the interest rate is higher.
  • Lower, the time until payment is shorter, and the interest rate is higher.
  • At a price of $400 in the bond market, which of these statements is true?

  • There is an excess supply of bonds. (correct)
  • The bond market is in equilibrium.
  • The market clears.
  • There is an excess demand for bonds.
  • How would a period of robust economic growth reflect in the risk structure of interest rates?

    <p>A decrease in the interest rate spread.</p> Signup and view all the answers

    When expected inflation increases, for any given nominal interest rate:

    <p>The yield on bonds will increase.</p> Signup and view all the answers

    Which one of the following would lead to an increase in bond supply?

    <p>An improvement in general business conditions.</p> Signup and view all the answers

    Suppose that the expected return on bonds falls relative to other assets. In the bond market this will result in:

    <p>A shift to the left of the bond demand curve.</p> Signup and view all the answers

    Which one of the following statements about the result of a deterioration in business conditions that also causes a decrease in a nation's wealth is false?

    <p>Neither bond demand nor bond supply will shift.</p> Signup and view all the answers

    Which of the following is true of interest-rate risk?

    <p>Individuals owning long-term bonds are exposed to greater interest-rate risk.</p> Signup and view all the answers

    What would happen if it is expected that the Federal Reserve will be raising interest rates before the end of the year?

    <p>Bond prices are likely to fall as yields increase.</p> Signup and view all the answers

    Explain what happens if an economy continues to grow at robust rates for a long period of time.

    <p>This may lead to increasing interest rates and adjustments in the bond market.</p> Signup and view all the answers

    If a bond's rating improves, we would expect:

    <p>The demand for this bond to increase, all other factors constant.</p> Signup and view all the answers

    Fatima holds a one-year $200 face value, taxable bond with a coupon rate of 5%. If she faces a tax rate of 20%, how much tax will she pay for income earned on the investment, and what is the return on the investment when taxes are taken into account?

    <p>She will pay $2 in taxes and earn a return of 4%.</p> Signup and view all the answers

    What is the yield to maturity of a bond if I purchase a 10 percent coupon bond based on my purchase price and calculate it to be 8 percent?

    <p>The yield to maturity is 8 percent.</p> Signup and view all the answers

    Study Notes

    Interest Rates and Value

    • Receiving 100todayismorevaluablethanreceiving100 today is more valuable than receiving 100todayismorevaluablethanreceiving100 in the future because of the opportunity cost of delaying consumption.
    • The higher the interest rate, the less valuable a future payment is, as the opportunity cost of delaying consumption increases.
    • The present value of a future payment is the amount of money that would have to be invested today to equal the future payment, taking into account the interest rate.
    • When the interest rate is zero, there is no opportunity cost of delaying consumption, so receiving 100todayisequaltoreceiving100 today is equal to receiving 100todayisequaltoreceiving100 in the future.

    Bond Market Basics

    • Bond demand is a function of price, with a higher price leading to lower demand as bonds become relatively more expensive compared to other assets.
    • The supply of bonds is influenced by factors such as government spending, wealth, and inflation expectations.
    • The equilibrium price in the bond market occurs where the quantity demanded of bonds equals the quantity supplied.
    • An excess supply of bonds occurs when the quantity supplied exceeds the quantity demanded, leading to downward pressure on prices.
    • An excess demand for bonds occurs when the quantity demanded exceeds the quantity supplied, leading to upward pressure on prices.

    Risk Structure of Interest Rates

    • The term structure of interest rates describes the relationship between yields and maturities for bonds with similar risk and liquidity.
    • The yield curve is a graphical representation of the relationship between maturity and yield.
    • A normal yield curve is upward sloping, implying that longer-maturity bonds have higher yields.
    • An inverted yield curve is downward sloping, suggesting that investors expect lower interest rates in the future.
    • The term spread, or interest rate spread, is the difference in yield between two bonds with different maturities.

    Inflation and Interest Rates

    • Higher expected inflation leads to an increase in the nominal interest rate, as investors demand higher returns to compensate for the erosion of purchasing power.
    • As expected inflation rises, demand for bonds falls, and the supply of bonds increases, pushing prices downward and yields upward.
    • A decrease in expected inflation, such as government policies aimed at reducing the money supply, would lead to a decrease in bond yields.

    Bond Market Shifts

    • A decrease in government spending, leading to a reduction in government debt issuance, would shift the bond supply curve to the left.
    • A decrease in the nation's wealth would lead to decreased demand for bonds, shifting the bond demand curve to the left.
    • Improved general business conditions would lead to increased demand for bonds, shifting the demand curve to the right.

    Interest Rate Risk

    • Interest rate risk refers to the risk that changes in interest rates will affect the value of a bond.
    • Higher interest rate risk is associated with longer-maturity bonds, as their prices are more sensitive to changes in interest rates.
    • The coupon rate of a bond is fixed and does not change as interest rates fluctuate in the market.

    Bond Market Dynamics

    • The expected increase in interest rates by the Federal Reserve would lead to a decrease in bond prices and an increase in bond yields, as investors anticipate lower returns from existing bonds compared to those issued in the future.
    • Robust economic growth leading to strong demand for credit would increase the supply of bonds, pushing prices down and yields upward.
    • An improvement in a bond's rating signals decreased risk and may lead to increased demand, pushing prices upward and yields downward.

    Tax Considerations

    • Bondholders are subject to taxes on the interest income earned from their investments.
    • The tax burden on bond income reduces the after-tax return earned by the bondholder, affecting investment decisions.
    • The after-tax return is calculated by subtracting the tax payable from the coupon income received.

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