Suppose that you, on 1st of January 2023, enter a long position in a 10-year forward contract on a non-dividend-paying stock. The stock price is $50 and the risk-free rate of interest is 5% per annum with yearly compounding (as per 1st of January 2023). a) What are the forward price and the initial value of the forward contract? Five years later, 1st of January 2028, the price of the stock is $60 and the risk-free interest rate is still 5%. ` b) On 1st of January 2028, what are the forward price and the value of the forward contract that you entered into on 1st of January 2023? Explain. c) Suppose that you on 1st of January 2028 enter a short position in a forward contract on the same underlying stock and with expiration date in 5 years. What is the value of your total position? (I.e. what is the total value of the long position in the forward contract in a) and your short position). What is the payoff of your total position at maturity? d) On 1st of January 2028, what is the value to the party holding the short position in the contract entered into on 1st of January 2023? Explain.
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.
5. Suppose that you, on 1st of January 2023, enter a long position in a 10-year forward contract
on a non-dividend-paying stock. The stock price is $50 and the risk-free rate of interest is 5%
per annum with yearly compounding (as per 1st of January 2023).
a) What are the forward price and the initial value of the forward contract?
Five years later, 1st of January 2028, the price of the stock is $60 and the risk-free interest
rate is still 5%. `
b) On 1st of January 2028, what are the forward price and the value of the forward contract that
you entered into on 1st of January 2023? Explain.
c) Suppose that you on 1st of January 2028 enter a short position in a forward contract on the
same underlying stock and with expiration date in 5 years. What is the value of your total
position? (I.e. what is the total value of the long position in the forward contract in a) and your
short position). What is the payoff of your total position at maturity?
d) On 1st of January 2028, what is the value to the party holding the short position in the contract
entered into on 1st of January 2023? Explain.
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Hey you said net pay off is b11 + b10 but you wrote 12.76 shouldn't it be 20.39?
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