What Is The Value Of A Share Of EGO Today?
What is the value of a share of EGO today?
Canadian-based mining company El Dorado Gold (EGO) suspended its dividend in March 2016 due to declining gold prices and permit delays in Greece. Assuming EGO will resume paying a $0.75 dividend in two years, growing at 2.8% annually, and its equity cost of capital is 9.1%, what is the current share price? Round to the nearest cent.
Sample Paper For Above instruction
Determining the current value of a stock that has suspended dividends temporarily involves understanding the dividend discount model, especially the Gordon Growth Model, which values a stock based on expected future dividends that grow at a constant rate. In this scenario, EGO's dividend payment is expected to restart two years from now, with a dividend of $0.75 per share, growing annually at 2.8%. To find the present value of the stock today, we need to calculate the value of the future dividend stream starting at the time when dividends resume and discount it back to the present.
The fundamental formula for a stock's value, given dividends grow at a constant rate, is:
Price at dividend initiation (future price) = Dividend in Year 1 / (Cost of equity - Growth rate)
Using this, the price at the time dividends are expected to start (two years from now) is:
Next year's dividend, D₁ = $0.75 * (1 + 0.028) = $0.773
Therefore, the value of the stock at Year 2 (when dividends restart) is:
Vₙ = D₁ / (r - g) = $0.773 / (0.091 - 0.028) = $0.773 / 0.063 = approximately $12.27
This is the value of the stock at Year 2, discounted back to today. To find the present value (PV) of the stock, discount Vₙ two years back at the equity cost of capital:
PV = Vₙ / (1 + r)² = $12.27 / (1.091)² ≈ $12.27 / 1.190 = approximately $10.31
Alternatively, since the dividends start at Year 2, we can adjust the calculation by discounting the expected dividend at Year 2 directly to today:
PV = D₂ / (r - g) / (1 + r)² = $0.75 / (0.091 - 0.028) / (1.091)² = $12.27 / 1.190 ≈ $10.31
Thus, the current fair value of EGO's stock today is approximately $10.31 per share, rounded to the nearest cent.
This valuation process exemplifies the use of dividend discount models for stocks with suspended or delayed dividends, emphasizing the importance of growth assumptions and discount rates in equity valuation.
References
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