Please answer all parts of the question, thank you.

1. A portfolio manager for a target retirement date bond mutual fund for clients with a 6-year investment holding horizon, would like to ensure a 5% annual compound return for the fund. He has a choice between two bonds. Whatever money he has to invest will be invested bonds of one type or the other, so the difference in the prices of the two types of bonds is not a consideration. Find the Duration and Modified Duration for each bond (show your work and answer the questions below) Bond 1 has a 5% annual coupon rate, $1000 maturity value, n = 6 years, YTM = 5% (pays a $50 annual coupon at the end of each year for each of the 6 years and $1,000 maturity payment at the end of year 6). Bond 2 is a zero-coupon bond with a $1000 maturity value, and n = 6 years; YTM=5%. (pays no coupons; only a $1,000 maturity payment at the end of year 6) a. Price Bond 1 Price Bond 2 b. Duration Bond 1 Duration Bond 2 c. Modified Duration Bond 1 Modified Duration Bond 2 (Be sure to show your work for the bond price and duration calculations for credit). d. Which of the two bonds should you choose for your 6-year investment horizon to duration match to ensure your desired 5% annual compound yield if you hold the bond to maturity? Explain why. (assume the same default risk for each bond). e. If interest rates go up by 1%, what will be the % Change in the market value for each Bond's Price? (Hint Change in Price% =- Modified Duration x Change in Rate (expressed as a fraction, i.e. .01). f. Which of the 2 bonds has more price risk and which has more reinvestment risk? Explain why