Investments & Portfolio Management-
Exam 2 Questions Fully Solved.
Objective of The Risky Portfolio - Answer The main goal in forming a risky portfolio is to
maximize the portfolio's sharpe ratio
The Sharpe ratio is a measure of risk-adjusted return
Sharpe Ratio - Answer The Sharpe Ratio is a metric used in finance to measure the risk-
adjusted return of an investment or portfolio. It shows how much return you are getting for the
level of risk you're taking.
sharpe ratio Interpretation, and why its uselful - Answer - Higher Sharpe Ratio: A high Sharpe
Ratio means that the investment offers a higher return per unit of risk. For example, a Sharpe
Ratio of 1 means you are earning 1 unit of return for every unit of risk taken. A Sharpe Ratio
above 1 is generally considered good, above 2 is very good, and above 3 is excellent.
-Lower Sharpe Ratio: A low or negative Sharpe Ratio indicates that the investment's returns do
not compensate well for the risk taken. It could mean the investment has poor returns relative
to its volatility or even underperforms the risk-free rate.
Why the Sharpe Ratio is Useful
Comparison Tool:Allows comparison of investments with different risk levels.Higher Sharpe
Ratio = more efficient in balancing risk and reward.
Risk Management:Helps in portfolio construction by identifying high return, low-risk
investments.
Role of Diversification - Answer diversification helps to reduce the overall portfolio risk
(standard deviation) without necessarily affecting the expected return
- By holding a variety of assets, unsystematic (asset-specific/idiosyncratic) risks are minimized-
which leads to a portfolio that can achieve a higher sharpe ratio by lowering risk while
maintaining even returns
, measured by variance σ2\sigma^2σ2), potentially increasing the portfolio's geometric return
closer to the arithmetic return.
Systematic & Unsystematic Risk - Answer Concept of Diversification: Each asset's price
movement is influenced by two types of factors:
Systematic (Market) Risk: This is the risk that affects the entire market, such as economic
changes or political events. It is unavoidable through diversification and remains in a well-
diversified portfolio.
Unsystematic (Asset-Specific) Risk: This risk is unique to individual assets or companies and is
statistically independent of other assets' risks. By diversifying—holding more assets with
unrelated risks—this type of risk can be reduced to zero.
Implication of Diversification: Since unsystematic risk can be mitigated through diversification, a
well-diversified portfolio eliminates asset-specific risks, leaving only systematic risks to be
managed.
Risk and return and sharpe ratio maximization - Answer - Risk and Return: There is a general
rule in finance that higher risk can lead to higher returns. However, this principle applies
primarily to systematic risks—the risks that remain after diversification.
- Reward for Risk: Investors are not rewarded for holding unsystematic (idiosyncratic) risks since
these can be eliminated by diversification. Only systematic risks, which are inherent to the
market, offer compensation through potentially higher returns.
- Maximizing the Sharpe Ratio: To maximize the Sharpe Ratio in an optimal portfolio, an investor
should focus on eliminating unsystematic risks, leaving only systematic risks that could provide a
return premium. This means constructing a diversified portfolio to minimize risk without
sacrificing potential returns
Managing Risk Types in a Portfolio - Answer Higher Risk = Higher Returns:Applies only to risks
that cannot be eliminated (systematic risks).
Unrewarded Risk:Investors are not rewarded for holding unsystematic (idiosyncratic) risks.
Sharpe Ratio Maximization:Focus on eliminating unsystematic risks.Keep only systematic risks
that may offer return premiums.
Market Compensation & Risk Premium/ EMH (systematic risk) - Answer Systematic Risk
Compensation:The market compensates investors for taking on systematic risk because it
cannot be eliminated and affects all assets.
Exam 2 Questions Fully Solved.
Objective of The Risky Portfolio - Answer The main goal in forming a risky portfolio is to
maximize the portfolio's sharpe ratio
The Sharpe ratio is a measure of risk-adjusted return
Sharpe Ratio - Answer The Sharpe Ratio is a metric used in finance to measure the risk-
adjusted return of an investment or portfolio. It shows how much return you are getting for the
level of risk you're taking.
sharpe ratio Interpretation, and why its uselful - Answer - Higher Sharpe Ratio: A high Sharpe
Ratio means that the investment offers a higher return per unit of risk. For example, a Sharpe
Ratio of 1 means you are earning 1 unit of return for every unit of risk taken. A Sharpe Ratio
above 1 is generally considered good, above 2 is very good, and above 3 is excellent.
-Lower Sharpe Ratio: A low or negative Sharpe Ratio indicates that the investment's returns do
not compensate well for the risk taken. It could mean the investment has poor returns relative
to its volatility or even underperforms the risk-free rate.
Why the Sharpe Ratio is Useful
Comparison Tool:Allows comparison of investments with different risk levels.Higher Sharpe
Ratio = more efficient in balancing risk and reward.
Risk Management:Helps in portfolio construction by identifying high return, low-risk
investments.
Role of Diversification - Answer diversification helps to reduce the overall portfolio risk
(standard deviation) without necessarily affecting the expected return
- By holding a variety of assets, unsystematic (asset-specific/idiosyncratic) risks are minimized-
which leads to a portfolio that can achieve a higher sharpe ratio by lowering risk while
maintaining even returns
, measured by variance σ2\sigma^2σ2), potentially increasing the portfolio's geometric return
closer to the arithmetic return.
Systematic & Unsystematic Risk - Answer Concept of Diversification: Each asset's price
movement is influenced by two types of factors:
Systematic (Market) Risk: This is the risk that affects the entire market, such as economic
changes or political events. It is unavoidable through diversification and remains in a well-
diversified portfolio.
Unsystematic (Asset-Specific) Risk: This risk is unique to individual assets or companies and is
statistically independent of other assets' risks. By diversifying—holding more assets with
unrelated risks—this type of risk can be reduced to zero.
Implication of Diversification: Since unsystematic risk can be mitigated through diversification, a
well-diversified portfolio eliminates asset-specific risks, leaving only systematic risks to be
managed.
Risk and return and sharpe ratio maximization - Answer - Risk and Return: There is a general
rule in finance that higher risk can lead to higher returns. However, this principle applies
primarily to systematic risks—the risks that remain after diversification.
- Reward for Risk: Investors are not rewarded for holding unsystematic (idiosyncratic) risks since
these can be eliminated by diversification. Only systematic risks, which are inherent to the
market, offer compensation through potentially higher returns.
- Maximizing the Sharpe Ratio: To maximize the Sharpe Ratio in an optimal portfolio, an investor
should focus on eliminating unsystematic risks, leaving only systematic risks that could provide a
return premium. This means constructing a diversified portfolio to minimize risk without
sacrificing potential returns
Managing Risk Types in a Portfolio - Answer Higher Risk = Higher Returns:Applies only to risks
that cannot be eliminated (systematic risks).
Unrewarded Risk:Investors are not rewarded for holding unsystematic (idiosyncratic) risks.
Sharpe Ratio Maximization:Focus on eliminating unsystematic risks.Keep only systematic risks
that may offer return premiums.
Market Compensation & Risk Premium/ EMH (systematic risk) - Answer Systematic Risk
Compensation:The market compensates investors for taking on systematic risk because it
cannot be eliminated and affects all assets.
