Part V. Miscellany. Questions 21-24.

21. The S&P stock index level is currently 3100.00. The short-term risk-free interest rate is 0.50%, while the stock index offers a dividend yield of 2.00% (both of these rates are continuously compounded).

What is the (fair) forward price on a 9-month forward contract (on the S&P stock index)? (Give your answer to two digits past the decimal place.)

22. The S&P stock index level is currently 3500.00. The short-term risk-free interest rate is 0.50%, while the stock index offers a dividend yield of 2.00% (both of these rates are continuously compounded).

What is the (fair) futures price on an (S&P stock index) futures contract that is 11 months from maturity? (Give your answer to two digits past the decimal place.)

23.The S&P stock index level is currently 3000.00 (or "three thousand points"). The short-term risk-free interest rate is 0.50%, while the stock index offers a dividend yield of 2.00% (both of these rates are continuously compounded).

What is the (market) value of (being long) one (S&P stock index) futures contract that is 3 months from maturity? (Contract size is $100 per point.)

(Give your answer to the nearest dollar.)

24.

Consider a (traded) 6-month call option on 100 shares of ABC stock, at strike price $100/share.

Over the next month, ABC pays a $2/share dividend, then ABC stock splits 2-for-1.

The terms on the option are now: a (traded) 5-month call option on 100or200 shares??of ABC stock, at strike price (98/49/50/100 per share?)