Suppose Amazon pays no dividends but spent $5 billion on share repurchases last year. If Amazon’s equity cost of capital is 12%, and if the amount spent on repurchases is expected to grow by 8% per year, estimate Amazon’s market capitalization. If Amazon has 6 billion shares outstanding, what stock price does this correspond to?
**please list out step by step actions, please show the formulas used, please DONT USE excel**
The stock price is computed as shown below:
Payout in next year is computed as follows:
Amount on share repurchases last year (1 + growth rate)
= $ 5 billion x 1.08
= $ 5.4 billion
Equity value is computed as follows:
= Payout in next year / (equity cost of capital - growth rate)
= $ 5.4 billion / (0.12 - 0.08)
= $ 135 billion
The share price is computed as follows:
= Equity value / Number of shares outstanding
= $ 135 billion / 6 billion shares
= $ 22.50
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