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Annualized Return | Portfolio Analysis Basics
Introduction to Portfolio Management with Python
course content

Conteúdo do Curso

Introduction to Portfolio Management with Python

Introduction to Portfolio Management with Python

1. Portfolio Analysis Basics
2. Portfolio Optimization Basics
3. Factor Investing

bookAnnualized Return

What is Annualization?

In the two upcoming chapters, we will also discuss the important concept of annualization.

First, let's define what is annualization in terms of return.

It shows how much the investment has grown or shrunk each year, on average, over a period of time.

Additionally, this measure helps us to compare the performance of investments over different time spans by putting them on the same yearly basis.

Сomputing Annualized Returns

Now, we'll discuss in a formal way, how to compute annualized return.

In general, we can compute annualized return using the following expression:

Speaking about the ratio between 1 year and the entire period, we should mention, that it depends on the units in which the period is measured.

For example, if the period is measured in years, than it will be computed in the following way:

Alternatively, we can measure the period in the months, which will give us the following expression:

Coming back to the previous example with stocks of Nvidia and AMD, here is a code, which will help us compute annualized returns for them, using corresponding formulas:

123456789
# Computing annualized return for Nvidia Nvidia_annualized = (1 + 0.27) ** (12/6) - 1 print('Nvidia:') print(Nvidia_annualized) # Computing annualized return for AMD AMD_annualized = (1 + 3.93) ** (1/5) - 1 print('AMD:') print(AMD_annualized)
copy

Tarefa

In this task you need to:

  1. Compute the annualized return R_sony_annualized for the Sony Group Corporation stocks, using the given 10-month return R_sony, by defining the required ratio p_sony, and applying the formula for annualized return.
  2. Compute the annualized return R_cola_annualized for the Coca-Cola Company stocks, using the given 5-year return R_cola, by defining the required ratio p_cola, and applying the formula for annualized return.

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Tudo estava claro?

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Seção 1. Capítulo 6
toggle bottom row

bookAnnualized Return

What is Annualization?

In the two upcoming chapters, we will also discuss the important concept of annualization.

First, let's define what is annualization in terms of return.

It shows how much the investment has grown or shrunk each year, on average, over a period of time.

Additionally, this measure helps us to compare the performance of investments over different time spans by putting them on the same yearly basis.

Сomputing Annualized Returns

Now, we'll discuss in a formal way, how to compute annualized return.

In general, we can compute annualized return using the following expression:

Speaking about the ratio between 1 year and the entire period, we should mention, that it depends on the units in which the period is measured.

For example, if the period is measured in years, than it will be computed in the following way:

Alternatively, we can measure the period in the months, which will give us the following expression:

Coming back to the previous example with stocks of Nvidia and AMD, here is a code, which will help us compute annualized returns for them, using corresponding formulas:

123456789
# Computing annualized return for Nvidia Nvidia_annualized = (1 + 0.27) ** (12/6) - 1 print('Nvidia:') print(Nvidia_annualized) # Computing annualized return for AMD AMD_annualized = (1 + 3.93) ** (1/5) - 1 print('AMD:') print(AMD_annualized)
copy

Tarefa

In this task you need to:

  1. Compute the annualized return R_sony_annualized for the Sony Group Corporation stocks, using the given 10-month return R_sony, by defining the required ratio p_sony, and applying the formula for annualized return.
  2. Compute the annualized return R_cola_annualized for the Coca-Cola Company stocks, using the given 5-year return R_cola, by defining the required ratio p_cola, and applying the formula for annualized return.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Tudo estava claro?

Como podemos melhorá-lo?

Obrigado pelo seu feedback!

Seção 1. Capítulo 6
toggle bottom row

bookAnnualized Return

What is Annualization?

In the two upcoming chapters, we will also discuss the important concept of annualization.

First, let's define what is annualization in terms of return.

It shows how much the investment has grown or shrunk each year, on average, over a period of time.

Additionally, this measure helps us to compare the performance of investments over different time spans by putting them on the same yearly basis.

Сomputing Annualized Returns

Now, we'll discuss in a formal way, how to compute annualized return.

In general, we can compute annualized return using the following expression:

Speaking about the ratio between 1 year and the entire period, we should mention, that it depends on the units in which the period is measured.

For example, if the period is measured in years, than it will be computed in the following way:

Alternatively, we can measure the period in the months, which will give us the following expression:

Coming back to the previous example with stocks of Nvidia and AMD, here is a code, which will help us compute annualized returns for them, using corresponding formulas:

123456789
# Computing annualized return for Nvidia Nvidia_annualized = (1 + 0.27) ** (12/6) - 1 print('Nvidia:') print(Nvidia_annualized) # Computing annualized return for AMD AMD_annualized = (1 + 3.93) ** (1/5) - 1 print('AMD:') print(AMD_annualized)
copy

Tarefa

In this task you need to:

  1. Compute the annualized return R_sony_annualized for the Sony Group Corporation stocks, using the given 10-month return R_sony, by defining the required ratio p_sony, and applying the formula for annualized return.
  2. Compute the annualized return R_cola_annualized for the Coca-Cola Company stocks, using the given 5-year return R_cola, by defining the required ratio p_cola, and applying the formula for annualized return.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Tudo estava claro?

Como podemos melhorá-lo?

Obrigado pelo seu feedback!

What is Annualization?

In the two upcoming chapters, we will also discuss the important concept of annualization.

First, let's define what is annualization in terms of return.

It shows how much the investment has grown or shrunk each year, on average, over a period of time.

Additionally, this measure helps us to compare the performance of investments over different time spans by putting them on the same yearly basis.

Сomputing Annualized Returns

Now, we'll discuss in a formal way, how to compute annualized return.

In general, we can compute annualized return using the following expression:

Speaking about the ratio between 1 year and the entire period, we should mention, that it depends on the units in which the period is measured.

For example, if the period is measured in years, than it will be computed in the following way:

Alternatively, we can measure the period in the months, which will give us the following expression:

Coming back to the previous example with stocks of Nvidia and AMD, here is a code, which will help us compute annualized returns for them, using corresponding formulas:

123456789
# Computing annualized return for Nvidia Nvidia_annualized = (1 + 0.27) ** (12/6) - 1 print('Nvidia:') print(Nvidia_annualized) # Computing annualized return for AMD AMD_annualized = (1 + 3.93) ** (1/5) - 1 print('AMD:') print(AMD_annualized)
copy

Tarefa

In this task you need to:

  1. Compute the annualized return R_sony_annualized for the Sony Group Corporation stocks, using the given 10-month return R_sony, by defining the required ratio p_sony, and applying the formula for annualized return.
  2. Compute the annualized return R_cola_annualized for the Coca-Cola Company stocks, using the given 5-year return R_cola, by defining the required ratio p_cola, and applying the formula for annualized return.

Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Seção 1. Capítulo 6
Switch to desktopMude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
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