imported>Doug Williamson |
imported>Doug Williamson |
Line 1: |
Line 1: |
| (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]] |
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