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​Canadian-based mining company El Dorado Gold​ (EGO) suspended its dividend in March 2016 as a result of declining gold prices and delays in obtaining permits for its mines in Greece. Suppose you expect EGO to resume paying annual dividends in two years​ time, with a dividend of ​$0.25 per​ share, growing by 2 % per year. If​ EGO's equity cost of capital is 9.2 %​, what is the value of a share of EGO​ today?

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Respuesta :

Answer:

$3.18 (rounded to nearest cent)

Explanation:

FIrst we shall find out the price at the end of year 2:

P1 = D2 ÷ (k-g)

Where,

P1 = price a the end of first year

D2 is the dividend in second year = $0.25

k is the cost of equity = 9.2% =0.092.

g is the growth rate = 2% = 0.02

now,

P1 = $0.25 ÷ (0.092 - 0.02)

=$0.25 ÷  0.072

=$3.4722222222  (this is estimated price after two years).

Value of share today:

= Price of share after one year × (discounting factor @9.2% for one year).

Discounting factor @9.2% for two years = 1 ÷ (1.092)

                                                                   =0.91575091575

The value of share today:

= ($3.4722222222) × (0.91575091575.)

= $3.17969068

= $3.18 (rounded to nearest cent).

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