- A profitable, well-established corporation needs to raise capital for a major expansion. It chooses to issue additional corporate bonds rather than new shares of stock. Which of the following provides the strongest economic rationale for this decision?
Answer: Management believes the company's stock is currently undervalued and wants to avoid diluting existing shareholders' equity.
If management believes its stock is undervalued, issuing new stock would sell ownership for less than it's worth, harming existing shareholders. Issuing debt (bonds) raises capital without diluting the ownership stake. While bonds create a fixed interest payment obligation, this is often preferable to issuing equity at an unfavorable price.
- According to the semi-strong form of the efficient market hypothesis, which of the following strategies is LEAST likely to generate persistent abnormal returns that outperform the market average?
Answer: Analyzing a company's recently published annual financial statements and making trades based on that data.
The semi-strong form of the efficient market hypothesis posits that all publicly available information—including past prices, earnings reports, and financial statements—is already fully reflected in a stock's current price. Therefore, analyzing a recently published annual report (which is public information) would not give an investor an edge to earn persistent abnormal returns.
- Suppose the central bank conducts an unexpected, large-scale open market purchase of government securities. Holding all else constant, what is the most likely immediate impact in the market for existing government bonds?
Answer: The price of bonds will rise and the nominal interest rate will fall.
An open market purchase of securities increases bank reserves and the money supply. This leads to an increase in the supply of loanable funds, which causes the nominal interest rate to fall. Since bond prices have an inverse relationship with interest rates, a fall in interest rates will cause the price of existing bonds to rise.
- An investor holds a well-diversified portfolio, such as an index fund that tracks the entire S&P 500. Which of the following events would pose the greatest risk to the value of this portfolio?
Answer: The central bank unexpectedly announces a significant increase in the target interest rate.
A diversified portfolio is largely protected from idiosyncratic (company-specific or industry-specific) risk. However, it remains fully exposed to systematic (market-wide) risk. An unexpected increase in interest rates is a macroeconomic event that affects the valuation of nearly all companies in the market simultaneously and thus represents a significant systematic risk.
- A government report is released indicating a much higher than expected probability of a severe economic recession in the next year. Which of the following portfolio adjustments is most likely to occur as risk-averse investors react to this news?
Answer: A shift in demand away from corporate bonds and towards U.S. Treasury bonds.
Recessions increase the risk of corporate defaults, making corporate bonds riskier. In response, investors engage in a "flight to safety," selling riskier assets (like corporate bonds) and buying safer assets (like U.S. Treasury bonds). This causes the demand for, and price of, U.S. Treasury bonds to rise, while the demand for, and price of, corporate bonds falls.
- An individual buys a share of stock for $80. During the year, the company pays an annual dividend of $2 per share. At the end of the year, the investor sells the stock for $86. What is the investor's total percentage return on the investment?
Answer: 10.0%
Total return includes both income (dividends) and capital gains. The capital gain is the selling price minus the purchase price ($86−$80=$6). The dividend income is $2. The total dollar return is $6+$2=$8. The percentage return is the total dollar return divided by the initial investment: $8/$80=0.10, or 10.0%. - A perpetuity is a financial asset that pays a fixed sum of money each year forever. If a perpetuity pays $100 annually and the prevailing market interest rate for similar assets falls from 5% to 4%, what is the effect on the perpetuity's price?
Answer: The price increases from $2,000 to $2,500.
The price of a perpetuity is calculated as the annual payment divided by the market interest rate (P = C/r). Initially, the price is $100/0.05=$2,000. When the interest rate falls to 4%, the new price becomes $100/0.04=$2,500. The price increases because the fixed $100 payment is more valuable when the alternative return (market interest rate) is lower. - An investor is considering two investment options with identical risk profiles. Option X is a zero-coupon bond that pays a single lump sum of $1,210 in two years. Option Y pays $550 at the end of year one and another $605 at the end of year two. If the prevailing market interest rate is 10% per year, which option provides a higher value to the investor today?
Answer: The options provide equal value, so the investor should be indifferent.
To compare the options, we must calculate the present value (PV) of each. The PV of Option X is $1,210/(1+0.10)2=$1,210/1.21=$1,000. The PV of Option Y is ($550/1.10)+($605/1.102)=$500+$500=$1,000. Since their present values are identical, a rational investor would find them equally valuable. - An investor uses $20,000 of her own capital and borrows an additional $80,000 to purchase a financial asset for $100,000. After one year, the asset's price increases to $110,000. Ignoring transaction costs and interest on the loan, what is the percentage return on the investor's own capital?
Answer: 50%
The total asset value increased by $110,000−$100,000=$10,000. This entire gain accrues to the investor's equity. The return on the investor's own capital is the gain divided by the initial capital: $10,000/$20,000=0.50, or 50%. This demonstrates how leverage amplifies returns. - A new financial technology platform allows individuals to buy and sell fractional ownership of fine art masterpieces with near-instantaneous settlement and very low transaction fees. How does this innovation primarily change the characteristics of fine art as an asset class?
Answer: It significantly increases the liquidity of fine art but does not inherently reduce its market risk.
Liquidity is the ease with which an asset can be converted to cash without affecting its market price. The new platform makes trading fine art easier, faster, and cheaper, thus increasing its liquidity. However, the fundamental risk associated with the art's fluctuating market value (market risk) remains unchanged by the trading mechanism.
- Financial market data reveals that the yield on 3-month Treasury bills is 5%, while the yield on 10-year Treasury bonds is 4%. This situation, known as an inverted yield curve, most likely signals market expectations of:
Answer: a future decrease in short-term interest rates, often associated with an economic slowdown.
An inverted yield curve, where short-term rates are higher than long-term rates, suggests that investors expect short-term interest rates to be lower in the future. This expectation of falling rates is strongly associated with anticipated economic slowdowns or recessions, as central banks typically cut rates during such periods.
- During a financial crisis, the yield on Baa-rated corporate bonds rises from 6% to 9%, while the yield on U.S. Treasury bonds falls from 4% to 2%. What is the most accurate interpretation of this change in interest rate spreads?
Answer: The risk premium for holding corporate debt has increased due to a "flight to quality."
The spread, or difference, between the corporate and Treasury bond yields represents the risk premium for holding corporate debt. Initially, the spread was 6%−4%=2%. It widened to 9%−2%=7%. This indicates that investors are demanding much higher compensation for the increased perceived risk of corporate default. This "flight to quality" is typical during crises. - Consider two bonds, Bond X and Bond Y, both with a face value of $1,000 and the same coupon rate. Bond X matures in 5 years, while Bond Y matures in 30 years. If the market interest rate suddenly increases by 1%, which bond will experience a larger percentage decrease in its price?
Answer: Bond Y, because its longer maturity makes its price more sensitive to rate changes.
A bond's price sensitivity to changes in interest rates is known as interest rate risk, which is closely related to its duration. Longer-maturity bonds have higher duration and are therefore more sensitive to interest rate fluctuations. When market rates rise, the price of the 30-year bond will fall by a larger percentage than the price of the 5-year bond.
- An investor in the 35% marginal federal income tax bracket is choosing between two bonds. Bond C is a corporate bond with a taxable yield of 8%. Bond M is a municipal bond with a tax-exempt yield of 5.5%. Which bond offers a higher after-tax return for this investor, and why?
Answer: Bond M, because its tax-exempt yield is greater than Bond C's after-tax yield of 5.2%.
To compare the bonds, we must calculate the after-tax yield of the taxable corporate bond. The formula is: Pre-tax Yield × (1 - Marginal Tax Rate). For Bond C, this is 8%×(1−0.35)=8%×0.65=5.2%. Since Bond M's tax-exempt yield of 5.5% is greater than Bond C's after-tax yield of 5.2%, Bond M offers a higher return for this specific investor. - An investor's portfolio consists entirely of stock in a single large automobile manufacturing company. To reduce the idiosyncratic risk of this portfolio, which of the following would be the most effective addition?
Answer: A broad market index fund composed of stocks from many different industries.
Idiosyncratic risk is firm-specific or industry-specific risk that can be reduced through diversification. Adding a broad market index fund provides maximum diversification by adding exposure to many different companies and industries whose fortunes are not perfectly correlated with the auto industry. Adding stock from a related industry (tires), a derivative on the same stock, or more of the same stock fails to effectively diversify this specific risk.
- An investor purchases a one-year bond with a nominal yield of 7%. At the time of purchase, the expected rate of inflation was 3%. Over the course of the year, the actual rate of inflation turns out to be 5%. What are the ex-ante and ex-post real interest rates for this investor, respectively?
Answer: 4% and 2%
The ex-ante (expected) real rate is the nominal rate minus the expected inflation rate: 7%−3%=4%. The ex-post (actual) real rate is the nominal rate minus the actual inflation rate: 7%−5%=2%. The investor's actual real return was lower than anticipated because inflation was higher than expected. - A bond with a face value of $1,000 and an annual coupon payment of $50 is purchased when the market interest rate is 5%. Immediately after purchase, new economic data causes the market interest rate for comparable bonds to rise to 6%. What is the most immediate consequence for the owner of this bond?
Answer: The market price of the bond will fall below its face value.
The price of a bond is inversely related to the market interest rate. The bond's fixed $50 coupon payment (a 5% coupon rate) is now less attractive compared to new bonds that will be issued at the higher 6% market rate. To offer a competitive yield to maturity, the price of the existing bond must fall below its $1,000 face value.
- The price of a newly created cryptocurrency triples in one month, despite having no clear revenue stream or underlying tangible assets. Media reports show that most buyers are purchasing it solely because they expect its price to continue rising rapidly. This scenario is most characteristic of:
Answer: an asset price bubble, which poses a significant risk of a large and sudden price collapse.
An asset price bubble occurs when the price of an asset exceeds its fundamental value by a large margin. Bubbles are often fueled by speculative buying and the belief that prices will continue to rise, independent of the asset's intrinsic worth. Such situations are inherently unstable and often end in a sudden price collapse, or 'crash.'
- A financial institution creates a mortgage-backed security (MBS) by purchasing thousands of individual mortgages, pooling them, and selling claims on the resulting pool of mortgage payments to investors. A primary economic benefit of this securitization process is that it:
Answer: allows for the dispersal of mortgage default risk and increases the liquidity of mortgage loans.
Securitization takes illiquid assets (like individual mortgage loans held by a bank) and transforms them into more liquid, tradable securities (MBS). This process allows the risk associated with potential defaults on the original loans to be sold and distributed across a wide base of investors rather than being concentrated on the originating bank's balance sheet.
