Marcel co. is growing quickly. dividends are expected to grow at a 20 percent rate for the next 3 years, with the growth rate falling off to a constant 7 percent thereafter. required: if the required return is 11 percent and the company just paid a $3.00 dividend. what is the current share price?

$111.94

Explanation:

Find dividend per year;

D1 = 3*(1.20) = 3.60

D2 = 3.60*(1.20) = 4.32

D3 = 4.32*(1.20) = 5.184

D4 = 5.184* (1.07) = 5.5469

Next, find PV of dividends at 11% required return;

PV(of D1) = 3.60/ 1.11 = 3.2432

PV(of D2) = 4.32/ 1.11² = 3.5062

PV(of D3) = 5.184/ 1.11³ = 3.7905

Next, find PV of terminal cashflow;

PV (of D4 onwards) =

PV (of D4 onwards) =

= 101.3984

Next, sum up the PVs to get the price of the stock;

= 3.2432 + 3.5062 + 3.7905 + 101.3984

Price = $111.94

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.