Taussig Technologies Corporation (TTC) has been growing at a rate of 20% per year in recent years. This same growth rate is expect- ed to last for another 2 years, then decline to gn 5 6%. If D0 5 $1.60 and rs 5 10%, what is TTC’s stock worth today? What are its expected dividend, and capital gains yields at this time, that is, during Year 1?

Respuesta :

Answer:

(a) 14.84

(b) (i) 10.78%

(ii) 9.97%

Explanation:

D1 = D0 × (1 + Growing rate)

    = 1.6 × 1.2

    = 1.92

D2 = D1 × (1 + Growing rate)

     = 1.92 × 1.2

     = 2.304

P2 = [D2 × (1 - gn)] ÷ (rs + gn)

    = (2.304 × 0.94) ÷ (10%+6%)

     = 13.536

Current price:

[tex]=\frac{1.92}{1.1} + \frac{2.304}{(1.1)^{2}}+\frac{13.536}{(1.1)^{2}}[/tex]

      = 14.84

Expected dividend yield = D0 ÷ Current price

                                         = 1.6 ÷ 14.84

                                         = 10.78%

P1 = [D2 ÷ (1+rs)] + [P2 ÷ (1+rs)]

   = 2.304/1.1 + 13.536/1.1

   = 14.4

Capital gains yield = P1 -  Current price + (D1 ÷ Current price)

                                = 14.4 - 14.84 + (1.92 ÷ 14.84)

                                = 9.97%

Q&A Education