The shares of XYZ Inc. are currently selling for $120 per share. The shares are expected to go up by 10 percent or down by 5 percent in each of the following two months (Month 1 and Month 2). XYZ Inc. is also expected to pay a dividend yield of 2 percent at the end of Month 1. The risk-free rate is 0.5 percent per month. a. What is the value of an American call option on XYZ shares, with an exercise price of $125 and two months to expiration? Use the binomial model to obtain the answer. b. Draw a binomial tree diagram for this American call option, showing the share price, call price, and whether the call should be exercised at each state during the next two months. ***Answer b only
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.
The shares of XYZ Inc. are currently selling for $120 per share. The shares are expected to go up by 10 percent or down by 5 percent in each of the following two months (Month 1 and Month 2). XYZ Inc. is also expected to pay a dividend yield of 2 percent at the end of Month 1. The risk-free rate is 0.5 percent per month.
a. What is the value of an American call option on XYZ shares, with an exercise price of $125 and two months to expiration? Use the binomial model to obtain the answer.
b. Draw a binomial tree diagram for this American call option, showing the share price, call price, and whether the call should be exercised at each state during the next two months.
***Answer b only
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