In addition to the five factors discussed in the chapter, dividends also affect the price of an

Question:

In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The Black–Scholes option pricing model with dividends is:
C = S × e-dt × N(d1) – E × e-Rt × N(d2)
d1 = [ln(S/E ) + (R – d + σ2 / 2) × t]/(σ × √t)
d2 = d1 – σ × √t
All of the variables are the same as the Black–Scholes model without dividends except for the variable d , which is the continuously compounded yield on the stock.
a. What effect do you think the yield will have on the price of a call option? Explain.
b. A stock is currently priced at $83 per share, the standard deviation of its return is 50 percent per year, and the risk-free rate is 5 percent per year compounded continuously. What is the price of a call option with a of $85 and a of 6 months if the stock has a yield of 2 percent per year?
Strike Price
In finance, the strike price of an option is the fixed price at which the owner of the option can buy, or sell, the underlying security or commodity. Dividend
A dividend is a distribution of a portion of company’s earnings, decided and managed by the company’s board of directors, and paid to the shareholders. Dividends are given on the shares. It is a token reward paid to the shareholders for their... Maturity
Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest...