Dividend growth model and Expected credit loss: Difference between pages

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(DGM).
''Financial reporting - impairment of financial assets - IFRS 9''


The Dividend growth model links the value of a firm’s equity and its market cost of equity by modelling the expected future dividends receivable by the shareholders as a constantly growing perpetuity.
(ECL).


Its most common uses are:
Expected credit loss is a calculation of the present value of the amount expected to be lost on a financial asset, for financial reporting purposes.


(1) Estimating the market <u>cost of equity</u> from the current share price; and
It is calculated as:


(2) Estimating the fair <u>value</u> of equity from a given or assumed cost of equity.
ECL = PD x EAD x LGD x Discount Factor
 
 
Expressed as a formula:
 
Ke = D<sub>1</sub> / P<sub>0</sub> + g
 
''OR (rearranging the formula)''
 
P<sub>0</sub> = D<sub>1</sub> / ( Ke - g )
 
 
Where:
 
P<sub>0</sub> = ex-dividend equity value today.
 
D<sub>1</sub> = expected dividend at Time 1 period hence.
 
Ke = cost of equity per period.
 
g = constant periodic rate of growth in dividend from Time 1 to infinity.
 
 
This is an application of the general formula for calculating the present value of a growing perpetuity.
 
 
 
'''Example 1'''
 
Calculating the market <u>value</u> of equity.
 
 
Where:
 
D<sub>1</sub> = expected dividend at Time 1 period hence = $10m.
 
Ke = cost of equity per period = 10%.
 
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%.
 
 
P<sub>0</sub> = D<sub>1</sub> / ( Ke - g )
 
= 10 / ( 0.10 - 0.02 )
 
= 10 / 0.08
 
= $125m.
 
 
 
'''Example 2'''
 
Or alternatively calculating the current market <u>cost of equity</u> using the rearranged formula:
 
Ke = D<sub>1</sub> / P<sub>0</sub> + g




Where:
Where:


D<sub>1</sub> = expected dividend at Time 1 period hence = $10m.
ECL = expected credit loss
 
P<sub>0</sub> = current market value of equity per period = $125m.
 
g = constant periodic rate of growth in dividend from Time 1 to infinity = 2%.
 
 
Ke = 10 / 125 + 2%


= 10%.
PD = probability of default


EAD = exposure at default


Also known as the Dividend discount model, the Dividend valuation model or the Gordon growth model.
LGD = loss given default


Discount Factor is based on the expected date of default


== See also ==
* [[CertFMM]]
* [[Cost of equity]]
* [[Corporate finance]]
* [[Perpetuity]]


[[Category:Corporate_finance]]
==See also==
*[[Default]]
*[[Discount factor]]
*[[Exposure At Default]]
*[[Financial asset]]
*[[IFRS 9]]
*[[Impairment]]
*[[Loss Given Default]]
*[[Probability of Default]]

Revision as of 09:21, 28 May 2017

Financial reporting - impairment of financial assets - IFRS 9

(ECL).

Expected credit loss is a calculation of the present value of the amount expected to be lost on a financial asset, for financial reporting purposes.

It is calculated as:

ECL = PD x EAD x LGD x Discount Factor


Where:

ECL = expected credit loss

PD = probability of default

EAD = exposure at default

LGD = loss given default

Discount Factor is based on the expected date of default


See also