Response to the following problem:
Find the Macaulay duration and the modified duration of a 20-year, 10% corporate bond priced to yield 8%. According to the modified duration of this bond, how much of a price change would this bond incur if market yields rose to 9%? Using annual compounding, calculate the price of this bond in one year if rates do rise to 9%.
How does this price change compare to that predicted by the modified duration? Explain the difference.