The price of a non-dividend-paying stock is $100. Suppose that the continuously compounded risk-free rate is 1% per year, the market expected return is 7% (continuously compounded), the stock beta is 1.2, and the stock price volatility is 30% per year. Assume that the stock price follows the Geometric Brownian Motion. a) Solve for the expected stock return per year (0.01 + 1.2 0.07) + 0.3² 2 100 0.139+2 b) A derivative pays off $100 if the stock price is in the range between $90 and $110 in year two and 0 otherwise. Determine its current price. 0.139 = 75.73 c) What is the two-year 95% VaR if you short 100 shares of the stock today given that N¹(0.05) = -1.645? Note that the stock price follows a log normal distribution rather than a normal distribution
Dividend Valuation
Dividend refers to a reward or cash that a company gives to its shareholders out of the profits. Dividends can be issued in various forms such as cash payment, stocks, or in any other form as per the company norms. It is usually a part of the profit that the company shares with its shareholders.
Dividend Discount Model
Dividend payments are generally paid to investors or shareholders of a company when the company earns profit for the year, thus representing growth. The dividend discount model is an important method used to forecast the price of a company’s stock. It is based on the computation methodology that the present value of all its future dividends is equivalent to the value of the company.
Capital Gains Yield
It may be referred to as the earnings generated on an investment over a particular period of time. It is generally expressed as a percentage and includes some dividends or interest earned by holding a particular security. Cases, where it is higher normally, indicate the higher income and lower risk. It is mostly computed on an annual basis and is different from the total return on investment. In case it becomes too high, indicates that either the stock prices are going down or the company is paying higher dividends.
Stock Valuation
In simple words, stock valuation is a tool to calculate the current price, or value, of a company. It is used to not only calculate the value of the company but help an investor decide if they want to buy, sell or hold a company's stocks.
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