Approximate Macaulay Duration Formula

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Approximate Macaulay Duration is a measure of the weighted average time until a bond's cash flows are received. Check FAQs
AMYD=AMD(1+R)
AMYD - Approximate Macaulay Duration?AMD - Approximate Modified Duration?R - Rate of Interest?

Approximate Macaulay Duration Example

With values
With units
Only example

Here is how the Approximate Macaulay Duration equation looks like with Values.

Here is how the Approximate Macaulay Duration equation looks like with Units.

Here is how the Approximate Macaulay Duration equation looks like.

4.445Edit=1.27Edit(1+2.5Edit)
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Approximate Macaulay Duration Solution

Follow our step by step solution on how to calculate Approximate Macaulay Duration?

FIRST Step Consider the formula
AMYD=AMD(1+R)
Next Step Substitute values of Variables
AMYD=1.27(1+2.5)
Next Step Prepare to Evaluate
AMYD=1.27(1+2.5)
LAST Step Evaluate
AMYD=4.445

Approximate Macaulay Duration Formula Elements

Variables
Approximate Macaulay Duration
Approximate Macaulay Duration is a measure of the weighted average time until a bond's cash flows are received.
Symbol: AMYD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Approximate Modified Duration
Approximate Modified Duration is a measure of a bond's price sensitivity to changes in interest rates, reflecting how much the bond's price will change for a 1% change in yield.
Symbol: AMD
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Rate of Interest
Rate of Interest is the annual interest payment made by the bond issuer to the bondholder, expressed as a percentage of the bond's face value.
Symbol: R
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

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How to Evaluate Approximate Macaulay Duration?

Approximate Macaulay Duration evaluator uses Approximate Macaulay Duration = Approximate Modified Duration*(1+Rate of Interest) to evaluate the Approximate Macaulay Duration, Approximate Macaulay Duration provides a quick estimate of the duration of a bond without the need for detailed cash flow analysis and discounting. Approximate Macaulay Duration is denoted by AMYD symbol.

How to evaluate Approximate Macaulay Duration using this online evaluator? To use this online evaluator for Approximate Macaulay Duration, enter Approximate Modified Duration (AMD) & Rate of Interest (R) and hit the calculate button.

FAQs on Approximate Macaulay Duration

What is the formula to find Approximate Macaulay Duration?
The formula of Approximate Macaulay Duration is expressed as Approximate Macaulay Duration = Approximate Modified Duration*(1+Rate of Interest). Here is an example- 4.445 = 1.27*(1+2.5).
How to calculate Approximate Macaulay Duration?
With Approximate Modified Duration (AMD) & Rate of Interest (R) we can find Approximate Macaulay Duration using the formula - Approximate Macaulay Duration = Approximate Modified Duration*(1+Rate of Interest).
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