Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Firm Valuation : Assume an all equity firm has been growing at a 15 percent annual rate and is expected to continue to do so

Firm Valuation: Assume an all equity firm has been growing at a 15 percent annual rate and is expected to continue to do so for 3 more years. At that time, growth is expected to slow to a constant 4 percent rate. The firm maintains a 30 percent payout ratio, and this year's retained earnings net of dividends were $1.4 million. The required return for this firm is 13 percent. If the market is in equilibrium, what is the market value of the firm's common equity (1 million shares outstanding)?

These are the steps below:

rs = 13% or .13

Net Income = $1,400,000/(1 30% payout ratio)

Net Income = $1,400,000/.7 = $2,000,000

Dividends = $2,000,000 * 30% or .3 = $600,000

D0 = $600,000/1,000,000 shares outstanding = $.6

Growth at 15% for year 1 to year 3, dividend will be:

D1 = D0 (1 + g)

D1 = $.6 (1 + 15%) = $.69

D2 = $.69 (1 + 15%) = $.794

D3 = $.794 (1 + 15%) = $.913

D4 = $.913 (1 + 4%) = $.950

P3 = $.950/.13 - .04 = $10.56

On the financial calculator, input CF0 = 0, CF1 = .69, CF2 = .794, CF3 = 11.469, I/Y = 13

NPV = $9.18

P0 * Shares Outstanding

$9.18 * 1,000,000 = $9,180,000

I know the answer is correct. The only part I can't figure out is that on the financial calculator, where did CF3 = 11.469 come from. I don't know how to get this number. Please help me. Thanks

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Investments

Authors: Zvi Bodie, Alan J. Marcus, Alex Kane

6th Edition

0072861789, 9780072861785

More Books

Students also viewed these Finance questions