Final answer:
Investors expect the stock to sell for $90 at the end of the year.
Step-by-step explanation:
To determine what investors expect the stock to sell for at the end of the year, we need to consider the concept of the stock's price-earnings (P/E) ratio. The P/E ratio is a valuation metric that measures the price investors are willing to pay for each dollar of earnings generated by the company.
In this case, the stock is expected to pay a dividend of $9 per share at the end of the year. To calculate the expected price at the end of the year, we can use the formula:
Expected Price = Dividend / (Required Rate of Return - Growth Rate)
Since the stock's beta is 1, we can assume the required rate of return is equal to the market rate of return, which is usually around 10%.
Let's plug in the values and calculate:
Expected Price = $9 / (0.1 - 0)
Expected Price = $9 / 0.1
Expected Price = $90
Therefore, investors expect the stock to sell for $90 at the end of the year.