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Portfolio return

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Financial Mathematics

Definition

Portfolio return is the total gain or loss generated by a collection of investments over a specific period, expressed as a percentage of the initial investment. It encompasses the returns from all individual assets within the portfolio, taking into account their respective weights and performance. Understanding portfolio return is crucial for evaluating investment strategies and assessing risk in relation to expected rewards.

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5 Must Know Facts For Your Next Test

  1. Portfolio return is calculated by summing the weighted returns of each asset in the portfolio, where weights are based on the proportion of total investment in each asset.
  2. The overall portfolio return can be affected by market conditions, asset allocation decisions, and changes in individual asset performance.
  3. In the context of CAPM, the expected portfolio return is often linked to the risk-free rate plus a risk premium based on the portfolio's beta.
  4. Investors use portfolio return to evaluate performance relative to benchmarks, such as market indices, to determine if their investments are yielding adequate results.
  5. Understanding historical portfolio returns helps investors make informed predictions about future performance and adjust their investment strategies accordingly.

Review Questions

  • How is portfolio return calculated and what factors influence its value?
    • Portfolio return is calculated by taking the weighted average of the returns from each individual asset within the portfolio. The weight for each asset is determined by its proportion of the total investment. Factors influencing its value include individual asset performance, market conditions, and the overall composition of the portfolio, such as diversification levels.
  • Discuss how CAPM relates to portfolio return and why itโ€™s significant for investors.
    • CAPM helps investors understand how expected portfolio return correlates with systematic risk. It posits that the expected return of a portfolio equals the risk-free rate plus a premium for taking on additional risk, which is measured by beta. This model allows investors to assess whether their expected returns justify the risks associated with their portfolios, enabling more strategic investment decisions.
  • Evaluate how diversification affects portfolio return and why it's essential for managing investment risk.
    • Diversification impacts portfolio return by spreading investments across various assets, thereby reducing exposure to any single asset's poor performance. This strategy minimizes risk because while some investments may underperform, others may compensate with higher returns. By effectively diversifying a portfolio, investors can achieve a more stable overall return, aligning with their risk tolerance and investment goals.

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