Question

Mavs Inc. wishes to determine its cost of common stock equity, rs. The market price, P0, of its common stock is $40.07 per share. The firm expects to pay a dividend, D1, of $4.20 at the end of the coming year, 2021. The dividends paid on the outstanding stock over the past 6 years (2015â2020) were as follows:

2015 $3.60
2016 3.65
2017 3.70
2018 3.85
2019 4.00
2020 4.10

What is the cost of common stock equity financing?

Answer 1

13.12%

Step-by-step explanation:

Using the Gordon growth rate model, the cost of common stock equity can be determined using the formula below:

cost of common equity=expected dividend/current market price+growth rate

expected dividend=dividend in a year's time=D1= $4.20

current market price=P0=$40.07

The growth rate of the dividend can be ascertained by using the future value below:

FV=PV*(1+g)^n

FV=2020 dividend=$4.10

PV=2015 dividend=$3.60

g=growth rate=unknown

n=numbr of years between 2015 and 2020=5(dividend has grown for only 5 years not 6 years)

$4.10=$3.60*(1+g)^5

$4.10/$3.60=(1+g)^5

$4.10/$3.60 can be rewritten thus($4.10/$3.60)^1

($4.10/$3.60)^1=(1+g)^5

divide indexes on both sides by 5

($4.10/$3.60)^(1/5)=1+g

g=($4.10/$3.60)^(1/5)-1

g=2.64%

cost of common equity=($4.20/$40.07)+2.64%

cost of common equity=13.12%