The price of a stock $120 today. It is expected to pay a dividend of $2 per share in two months, $2.5 in five months, and 3$ in eight months. The risk-free rate of interest is 5% per annum with continuous compounding for all maturities. An investor has just taken a long position in a six-month forward contract on the stock. a) What are the forward price and the initial value of the forward contract? b) Three months later, the price of the stock is $100 and the risk-free rate of interest is 10% per annum. What are the forward price and the value of the long position in the forward contract?
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 price of a stock $120 today. It is expected to pay a dividend of $2 per share in two months, $2.5 in five months, and 3$ in eight months. The risk-free rate of interest is 5% per annum with continuous compounding for all maturities. An investor has just taken a long position in a six-month forward contract
on the stock.
a) What are the forward price and the initial value of the forward contract?
b) Three months later, the price of the stock is $100 and the risk-free rate of interest is 10% per annum. What are the forward price and the value of the long position in the forward contract?
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