Kelly owns a P1000 par 10% coupon bond that has 6 years remaining to maturity. She plans on selling the bond in one year and believes that the required yield next year will have the following probability distribution; Required yield (%) 6.70 6.85 Probability 0.1 0.2 0.3 0.2 0.1 0.1 7.10 7.30 7.55 7.75 a. What is the expected price of the bond at the time of sale? b. That is the expected return (k) and standard deviation risk of the bond? C. Calculate the duration of the bond if YTM= expected return (k). d. What is the percentage change in price if the YTM changes to 15%? Comment on your