Question

Item 4Item 4 You’ve collected the following information from your favorite financial website. 52-Week Price Stock (Div) Div Yld % PE Ratio Close Price Net Chg Hi Lo 64.60 47.80 Abbott 1.12 1.9 235.6 62.91 −.05 145.94 70.28 Ralph Lauren 2.50 1.8 70.9 139.71 .62 171.13 139.13 IBM 6.30 4.3 23.8 145.39 .19 91.80 71.96 Duke Energy 3.56 4.9 17.6 74.30 .84 113.19 96.20 Disney 1.68 1.7 15.5 ?.10 According to your research, the growth rate in dividends for IBM for the next 5 years is expected to be 5 percent. Suppose IBM meets this growth rate in dividends for the next five years and then the dividend growth rate falls to 3.5 percent indefinitely. Assume investors require a return of 10 percent on IBM stock.

Answer 1

Answer:

P₀ = $106.96

Explanation:

the current dividend paid by IBM was $6.30 per stock

Div₀ = $6.30

Div₁ = $6.615

Div₂ = $6.94575

Div₃ = $7.2930375

Div₄ = $7.657689375

Div₅ = $8.040573844

Div₆ = $8.321993928

we must first determine the terminal value at year 5 = Div₆ / (rrr - g) = $8.321993928 / (10% - 3.5%) = $128.0306758

now we must discount the future values using the 10% discount rate:

P₀ = $6.615/1.1 + $6.94575/1.1² + $7.2930375/1.1³ + $7.657689375/1.1⁴ + $8.040573844/1.1⁵ + $128.0306758/1.1⁵ = $6.013 + $5.740 + $5.479 + $5.230 + $4.993 + $79.50 = $106.96