calculate a fair price at which the stock should sell for today,

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Your assignment here is to value Walmart Inc.'s (WMT’s) stock. A bit oddly, WMT is not expected to pay a dividend at t = 1. WMT’s next dividend (i.e., the dividend at t = 2) is expected to be $3.00/share. Across years 3 and 4 and 5, dividends will grow by 8%/year. After that, dividends are projected to grow at a constant rate of 3% forever. Walmart has a debt-to-equity ratio (in market-value terms) of 1.0. The yield to maturity on WMT's bonds averages 4% and the company's tax rate is 30%. If the risk-free rate is 3.1%, the expected return on the market is 9.1%, and WMT's equity beta is 1.10, calculate a fair price at which the stock should sell for today, based on a discounted valuation of its projected dividends.

Expert Solution
Step 1 Introduction

In order to calculate the stock price today, one needs to calculate the projected dividends for further years and then have to discount it. 

Step 2 Calculation of expected dividend

Calculation of expected dividend is as follows:Expected dividend in year2(D2)=$3Expected dividend in year 3(D3)=D2×(1+g)=$3×(1+0.08)=$3.24Expected dividend in year 4(D4)=$3.24×(1+0.08)=$3.4992Expected dividend in year 5(D5)=$3.4992×1.08=$3.7791Expected dividend after year 5(D6)=$3.7791×1.03=$3.8924

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