Question
A company currently has earnings (E 0 ) of $2.00 and a dividend (D 0 ) of $0.50. The firms current return on equity (ROE)
A company currently has earnings (E0) of $2.00 and a dividend (D0) of $0.50. The firms current return on equity (ROE) is 30%. The firm will maintain the same dividend payout and ROE over the next two periods. Then it will transition in a linear reduction in years 3, 4, and 5 to a growth of 3%. The firm will then grow at 3% to perpetuity. The firms beta is presently 1.6, but this will transition to 1 over the same period. The risk-free rate is 4% and the market risk premium is 6%. ROE is expected to be 10% beginning in year 5 to perpetuity. What is the present value of this firms equity using a three-stage model with linear transition in years 3, 4, and 5?
0 | 1 | 2 | 3 | 4 | 5 | 6 | |
Earnings Growth Rate | 0.225 | 0.225 | 0.225 | 0.16 | 0.095 | 0.03 | 0.03 |
EPS | 2 | 2.45 | 3.00125 | 3.48145 | 3.812188 | 3.926553 | 4.04435 |
Div Payout (DPS/EPS) | 0.25 | 0.25 | 0.25 | ||||
DPS | 0.5 | 0.6125 | 0.750313 | ||||
Ke | 0.136 | 0.136 | 0.136 | 0.124 | 0.112 | 0.1 | 0.1 |
PV Cashflows | 0.539173 | 0.581414 |
I need to find DPS: D3, D4, D5, D6.
For D1 and D2, it was the normal formula. IE; D1: D0(1+g1) ; D2: D1(1+g2)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started