Please provide the formulas and no excel.

Assume that the price of a stock is $50 at the beginning of the year, the risk-free rate is 6% (assumed constant, continuously compounding) and a $2 dividend is to be paid after a half year. (a) Determine the current forward price Fo(1) maturing in one year. (b) For a short position in forward maturing in one year, find the expected value of the forward after 9 months if at that time the stock price turns out to be $48 or $52 equally likely. Recall that the value of a long forward position is given by (F(T) Fo(T))B(t, T), where F/(T) and B(t, T) are respectively the forward price and the price of a zero coupon bond at time t, both maturing at time T. Assume that the price of a stock is $50 at the beginning of the year, the risk-free rate is 6% (assumed constant, continuously compounding) and a $2 dividend is to be paid after a half year. (a) Determine the current forward price Fo(1) maturing in one year. (b) For a short position in forward maturing in one year, find the expected value of the forward after 9 months if at that time the stock price turns out to be $48 or $52 equally likely. Recall that the value of a long forward position is given by (F(T) Fo(T))B(t, T), where F/(T) and B(t, T) are respectively the forward price and the price of a zero coupon bond at time t, both maturing at time T