Question

Superior Inc. is starting a new project. It plans to develop an online platform that allows for 3D printing of online purchases. This would effectively reduce the online purchases' delivery times to minutes. It expects this new product to be a great success and bring rapidly growing profits in the first few years. After that, it expects the competition to kick in which will reduce the growth of annual profits. The dividends on Superior Inc.'s shares will be growing accordingly. Here is the exact schedule of expected future dividends:

Most recently paid dividend is $4.
Expected annual growth rate of dividends for the first 3 years is 50%.
Expected annual growth rate of dividends after that is 10%.
Discount rate for this company is 15%.

Required:
Calculate the price per share of stock of Superior Inc.

Answer 1

P0 = $216.18147448015 rounded off to $216.18

Step-by-step explanation:

The dividend discount model (DDM) can be used to calculate the price of the stock today. DDM calculates the price of a stock based on the present value of the expected future dividends from the stock. The formula for price today under DDM is,

P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + [(Dn * (1+g) / (r - g)) / (1+r)^n]

Where,

• D1, D2, ... , Dn is the dividend expected in Year 1,2 and so on

• g is the constant growth rate in dividends

• r is the discount rate or required rate of return

P0 = 4 * (1+0.5) / (1+0.15) + 4 * (1+0.5)^2 / (1+0.15)^2 +

4 * (1+0.5)^3 / (1+0.15)^3 + [(4 * (1+0.5)^3 * (1+0.1) / (0.15 - 0.1)) / (1+0.15)^3]

P0 = $216.18147448015 rounded off to $216.18