Podcast
Questions and Answers
What is the relationship between the nominal risk-free rate and the real risk-free rate?
What is the relationship between the nominal risk-free rate and the real risk-free rate?
Which of the following is NOT a type of risk that investors face when investing in securities?
Which of the following is NOT a type of risk that investors face when investing in securities?
What is the primary reason investors demand a risk premium?
What is the primary reason investors demand a risk premium?
Which of these is an example of default risk?
Which of these is an example of default risk?
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What is the primary factor that determines the level of liquidity risk in a particular investment?
What is the primary factor that determines the level of liquidity risk in a particular investment?
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Which of these is the most likely impact of higher interest rates on the value of a long-term bond?
Which of these is the most likely impact of higher interest rates on the value of a long-term bond?
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Which of these is NOT a consideration when determining the required rate of return for an investment?
Which of these is NOT a consideration when determining the required rate of return for an investment?
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How does the concept of opportunity cost relate to interest rates?
How does the concept of opportunity cost relate to interest rates?
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Which type of risk refers to the potential inability to sell an investment quickly without incurring a loss?
Which type of risk refers to the potential inability to sell an investment quickly without incurring a loss?
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What is the term for the extra return investors demand to compensate for the possibility that a borrower might not repay their loan?
What is the term for the extra return investors demand to compensate for the possibility that a borrower might not repay their loan?
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If you buy a bond that matures in 10 years compared to a bond maturing in 1 year, what type of risk are you likely taking on more of?
If you buy a bond that matures in 10 years compared to a bond maturing in 1 year, what type of risk are you likely taking on more of?
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What does 'HPR' stand for in the context of investments?
What does 'HPR' stand for in the context of investments?
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Which component of the total interest rate reflects the expected increase in the general price level in the economy?
Which component of the total interest rate reflects the expected increase in the general price level in the economy?
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In a perfect world, with no risk and no inflation, what is the theoretical return on an investment called?
In a perfect world, with no risk and no inflation, what is the theoretical return on an investment called?
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What is one of the key reasons why the geometric mean is preferred over the arithmetic mean when calculating returns over multiple periods?
What is one of the key reasons why the geometric mean is preferred over the arithmetic mean when calculating returns over multiple periods?
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If you invest €100 per month in a stock for 5 years, using a dollar-cost averaging strategy, which measure would best calculate the average cost per share?
If you invest €100 per month in a stock for 5 years, using a dollar-cost averaging strategy, which measure would best calculate the average cost per share?
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What is the main purpose of annualized return?
What is the main purpose of annualized return?
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Which of these is NOT a key factor in determining the total interest rate of an investment?
Which of these is NOT a key factor in determining the total interest rate of an investment?
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A company with a history of consistent profitability and strong financial performance is likely to have a _____ default risk premium compared to a company with a history of financial instability.
A company with a history of consistent profitability and strong financial performance is likely to have a _____ default risk premium compared to a company with a history of financial instability.
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What is the main difference between the arithmetic mean return and the geometric mean return?
What is the main difference between the arithmetic mean return and the geometric mean return?
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Which of the following is NOT considered to be a potential benefit of using dollar-cost averaging?
Which of the following is NOT considered to be a potential benefit of using dollar-cost averaging?
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If you invest in a company that has a high liquidity risk, what would you expect to happen to the price of the stock if you needed to sell quickly?
If you invest in a company that has a high liquidity risk, what would you expect to happen to the price of the stock if you needed to sell quickly?
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What type of risk, if high, would cause investors to demand the highest return on their investment, all other factors being equal?
What type of risk, if high, would cause investors to demand the highest return on their investment, all other factors being equal?
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Which of the following statements about the relationship between the geometric and arithmetic mean returns is correct?
Which of the following statements about the relationship between the geometric and arithmetic mean returns is correct?
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Why is Time-Weighted Return (TWR) preferred for evaluating portfolio managers?
Why is Time-Weighted Return (TWR) preferred for evaluating portfolio managers?
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What makes Money-Weighted Return (MWR) more useful for individual investors?
What makes Money-Weighted Return (MWR) more useful for individual investors?
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If an investor adds money before a period of poor performance, what is the most likely outcome?
If an investor adds money before a period of poor performance, what is the most likely outcome?
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When would Money-Weighted Return (MWR) be more appropriate than Time-Weighted Return (TWR)?
When would Money-Weighted Return (MWR) be more appropriate than Time-Weighted Return (TWR)?
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Why is annualizing returns beneficial?
Why is annualizing returns beneficial?
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What is the primary purpose of annualizing returns?
What is the primary purpose of annualizing returns?
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What is the most accurate description of compounding?
What is the most accurate description of compounding?
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What does the formula FV=PV×(1+r)t represent?
What does the formula FV=PV×(1+r)t represent?
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What is the main difference between Future Value (FV) and Present Value (PV)?
What is the main difference between Future Value (FV) and Present Value (PV)?
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How does compounding frequency affect the Future Value (FV) of an investment?
How does compounding frequency affect the Future Value (FV) of an investment?
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What is the ultimate outcome of continuous compounding?
What is the ultimate outcome of continuous compounding?
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How does the price relative relate to the Holding Period Return (HPR)?
How does the price relative relate to the Holding Period Return (HPR)?
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Which of these is NOT a key component of annualizing a holding period return?
Which of these is NOT a key component of annualizing a holding period return?
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How does annualizing returns help investors compare investments with different holding periods?
How does annualizing returns help investors compare investments with different holding periods?
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Which of these situations would benefit the most from annualizing returns?
Which of these situations would benefit the most from annualizing returns?
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Which of these is the most accurate description of the difference between annualized and non-annualized returns?
Which of these is the most accurate description of the difference between annualized and non-annualized returns?
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What is the key idea behind real return?
What is the key idea behind real return?
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Which of the following statements accurately defines leverage in investing?
Which of the following statements accurately defines leverage in investing?
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What is the relationship between leverage and risk?
What is the relationship between leverage and risk?
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A nominal interest rate of 5% and an inflation rate of 2% would result in a real interest rate of:
A nominal interest rate of 5% and an inflation rate of 2% would result in a real interest rate of:
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Which statement best describes the concept of continuously compounded returns?
Which statement best describes the concept of continuously compounded returns?
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What is the main reason why the arithmetic mean is not a suitable measure for calculating the average cost per share when investing?
What is the main reason why the arithmetic mean is not a suitable measure for calculating the average cost per share when investing?
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Flashcards
Interest Rates
Interest Rates
The cost of borrowing or the return on savings/investments.
Required Rate of Return
Required Rate of Return
Minimum return expected by investors from an investment.
Discount Rates
Discount Rates
Rates used to calculate present value of future cash flows.
Opportunity Cost
Opportunity Cost
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Real Risk-Free Rate
Real Risk-Free Rate
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Nominal Risk-Free Rate
Nominal Risk-Free Rate
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Default Risk
Default Risk
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Liquidity Risk
Liquidity Risk
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Maturity Risk
Maturity Risk
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Risk Premium
Risk Premium
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Inflation Premium
Inflation Premium
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Default Risk Premium
Default Risk Premium
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Liquidity Premium
Liquidity Premium
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Maturity Premium
Maturity Premium
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Holding Period Return (HPR)
Holding Period Return (HPR)
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Arithmetic Mean Return
Arithmetic Mean Return
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Geometric Mean Return
Geometric Mean Return
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Annualized Return
Annualized Return
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Harmonic Mean
Harmonic Mean
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Dollar-Cost Averaging (DCA)
Dollar-Cost Averaging (DCA)
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Continuously Compounded Returns
Continuously Compounded Returns
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Real Return
Real Return
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Nominal Interest Rate
Nominal Interest Rate
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Leverage
Leverage
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Leveraged Return
Leveraged Return
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Arithmetic Mean
Arithmetic Mean
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Cost Averaging
Cost Averaging
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Outliers
Outliers
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Trimmed Mean
Trimmed Mean
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Winsorized Mean
Winsorized Mean
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Money-Weighted Return (MWR)
Money-Weighted Return (MWR)
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Time-Weighted Return (TWR)
Time-Weighted Return (TWR)
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Internal Rate of Return (IRR)
Internal Rate of Return (IRR)
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Key Differences between MWR and TWR
Key Differences between MWR and TWR
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Finish Calculation for Harmonic Mean
Finish Calculation for Harmonic Mean
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Using Trimmed and Winsorized Means
Using Trimmed and Winsorized Means
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Investment Returns
Investment Returns
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Comparing Fund Managers
Comparing Fund Managers
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Returns Evaluation
Returns Evaluation
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Future Value (FV)
Future Value (FV)
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Present Value (PV)
Present Value (PV)
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Compounding
Compounding
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Compounding Frequency
Compounding Frequency
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Continuous Compounding
Continuous Compounding
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Price Relative
Price Relative
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Differences Between TWR and MWR
Differences Between TWR and MWR
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Formula for Annualized Return
Formula for Annualized Return
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Impact of Compounding Frequency on FV
Impact of Compounding Frequency on FV
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Why TWR is Preferred for Managers
Why TWR is Preferred for Managers
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Use of MWR by Investors
Use of MWR by Investors
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Study Notes
Interest Rates
- Interest rates represent the cost of borrowing or return on saving/investing.
- They can be viewed as required rate of return (minimum investor expectation), discount rates (for present value calculations), and opportunity cost (forgone returns).
Real Risk-Free Rate
- This is the return on a risk-free investment with no inflation.
- It reflects the preference for present consumption over future savings.
Nominal Risk-Free Rate
- This is the actual rate on very secure investments (e.g., U.S. Treasury bills).
- It includes an inflation premium accounting for expected inflation.
Relationship Between Rates
- Nominal rate roughly equals real rate plus expected inflation.
- Formula: Nominal Rate ≈ Real Rate + Expected Inflation
Types of Risk in Securities
- Default Risk: The risk that a borrower (e.g., bond issuer) won't repay the loan.
- Example: Corporate bond issuer defaults.
- Liquidity Risk: The risk of not being able to quickly sell an investment without significant loss.
- Example: Difficulty selling a rare collectible.
- Maturity Risk: The risk of fluctuating asset values with longer investment terms.
- Example: A 10-year bond's price changes more than a 1-year bond.
Risk Premiums
- Investors demand extra returns (risk premiums) to compensate for these risks.
- Total return breaks down into:
- Real risk-free rate (pure return).
- Inflation premium (for maintaining purchasing power).
- Default risk premium (for borrower creditworthiness).
- Liquidity premium (for quick saleability).
- Maturity premium (for longer-term price fluctuations).
Holding Period Return (HPR)
- Measures investment profitability over a specified period.
- Includes price changes and income (e.g., dividends).
- Formula: HPR = [(Ending Value + Income) / Beginning Value] - 1
- Example: [(€22 + €1) / €20] - 1 = 15%
- For multiple periods, returns compound: HPR = (1 + HPRYear 1)(1 + HPRYear 2) - 1
- Example: (1.1)(1.05)(1.08) - 1 = 18.51%
Arithmetic vs. Geometric Mean Return
- Arithmetic Mean: Simple average of periodic returns.
- Geometric Mean: Recognizes compounding effects. It is always less than or equal to the arithmetic mean. The geometric mean is the true rate of compounding growth.
Annualized Return
- Converts a holding period return to an equivalent annual rate.
- Formula: ((1 + HPR)^(365 / Days Held)) - 1
Harmonic Mean
- Used to calculate average cost per share when investments are made at different prices over time. (Dollar-Cost Averaging)
- Addresses the issue that arithmetic means can be distorted by outliers.
Time-Weighted Return (TWR) vs Money-Weighted Return (MWR)
- TWR: Evaluates investment performance ignoring when cash flows occurred. Better for assessing a manager's skill, when they don't control cash flows.
- MWR: Considers when money was added or withdrawn, more personal. Better for an individual investor's own portfolio assessment.
Compounding
- Interest earned on interest over time.
- Increases growth potential.
Future Value (FV) and Present Value (PV)
- Future Value (FV): Value of an investment in the future.
- Present Value (PV): Current value of a future amount.
Continuous Compounding
- Theoretical maximum compounding frequency, interest compounds constantly.
Leveraging
- Employing borrowed funds to magnify potential investment gains.
- Increases both profit potential and loss potential.
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Description
This quiz covers the key concepts related to interest rates, including real and nominal rates, and the relationship between them. It also explores various types of risks associated with securities. Test your knowledge of finance and investment principles.