In: Finance
Today is April 15 (denoted "time 0"). XYZ stock may or may not pay dividends before September 1. (No data on this.) Consider the following forward contracts on XYZ stock, all expiring on September 1 (denoted "time T"). Assuming that all these contracts are "fairly priced," complete the missing numbers, and (algebraically) the right column, from the long party's perspective. It is given that B(0,T) = $0.9800 This is the price today, per $1 face value, of a T-bill (government zero-coupon bond) maturing on Sept. 1.
Apr. 15 value (down payment) | Delivery price on Sept. 1 | Thus the payoff for the long party is
Contract 1 $8 | $65 | S(T) -65
Contract 2 …………. | 0 | ………………..
Contract 3 0 | ……… | ………………..
Contract 4 …………. | $75 | ………………..
Contract 5 $2 | ……… | ………………..
In other words, Contract 1 is fully specified. Based on that, you need to complete the other contracts. There is no need to show work
The above question is regarding the pricing of the call option. We will use basic call option pricing formula to solve the above:
But for that we need to know
r: interest rate for the time period
: current stock price.
The solution is as: