Duração Macaulay

Σ t·PV(CF_t)/P.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Duração anos
4,53

About this calculator

The Macaulay Duration is a measure of the sensitivity of a fixed-income security to changes in interest rates. It calculates the weighted average time to maturity of a security, considering the present value of each cash flow. The formula is the sum of the product of time and present value of each cash flow, divided by the price of the security.

This measure is essential for fixed-income investors, as it helps to assess the interest rate risk associated with a security. The Macaulay Duration is used to compare the sensitivity of different securities and can be useful in constructing an investment portfolio. It is calculated based on the cash flows of the security and the prevailing interest rate.

The Macaulay Duration is a valuable tool for investors seeking to minimize interest rate risk in their portfolios. It is particularly useful for securities with complex cash flows, such as bonds with multiple coupon payments. However, it is essential to remember that the Macaulay Duration is just one of the risk measures that should be considered.

Care must be taken when interpreting the Macaulay Duration, as it assumes that interest rates remain constant. In practice, interest rates can change, which can affect the sensitivity of the security. Additionally, the Macaulay Duration does not account for other factors that can affect the price of the security, such as changes in the credit quality of the issuer.

Frequently asked questions

What is Macaulay Duration?

Macaulay Duration is a measure of the sensitivity of a fixed-income security to changes in interest rates.

How is Macaulay Duration calculated?

Macaulay Duration is calculated as the sum of the product of time and present value of each cash flow, divided by the price of the security.

What is Macaulay Duration used for?

Macaulay Duration is used to assess the interest rate risk associated with a security and compare the sensitivity of different securities.

What are the limitations of Macaulay Duration?

Macaulay Duration assumes that interest rates remain constant and does not account for other factors that can affect the price of the security.

How can I use Macaulay Duration in practice?

Macaulay Duration can be used to construct an investment portfolio with securities that have different sensitivities to changes in interest rates.

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