1. What is a Macaulay duration of a 20 year zero coupon US treasury bond. Is modified duration larger or smaller for that bond than its Macaulay duration. SHOW CLEAR WORK
2. 1 year spot rate is 1%, 2 year spot rate is 2%. Calculate the forward rate between the 1st and the 2nd year. Use semiannual compounding. SHOW WORK
3. Write the Black-Scholes option price formula for non dividend paying stocks.