FIN2106 Lecture Notes - Lecture 9: Discounting, Cash Flow, Weighted Arithmetic Mean

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25 Jun 2018
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Module 9 – FIN2106
-Duration
oDuration is a measure of the effective maturity of a security
Duration incorporates the timing and size of a security’s cash flows
It shows the weighted average time for receipt of cash flows
Duration also measures how price sensitive a security is to changes in
interest rates
The greater (shorter) the duration, the greater (lesser) the price
sensitivity
Duration measures the average time to receipt of cash flows.
Duration =
oWhere cf = cash flow, df = discount factor, t = period
From an economic viewpoint, duration is an ‘elasticity’.
Where: P = the price (or market value) of the asset, r = the
interest rate or yield, D = the duration of the asset
- Duration of a perpetuity
oThe duration of a perpetuity can be calculated as shown:
o Therefore, for a bond paying 5% p.a. in perpetuity, the duration is:
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Document Summary

Duration: duration is a measure of the effective maturity of a security. Duration incorporates the timing and size of a security"s cash flows. It shows the weighted average time for receipt of cash flows. Duration also measures how price sensitive a security is to changes in interest rates. The greater (shorter) the duration, the greater (lesser) the price sensitivity. Duration measures the average time to receipt of cash flows. Duration : where cf = cash flow, df = discount factor, t = period. From an economic viewpoint, duration is an elasticity". Where: p = the price (or market value) of the asset, r = the interest rate or yield, d = the duration of the asset.

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