A 5-year 6% coupon bond paying semi-annual interest with a duration of 4.43 years has a flat price of $978.42. The coupon period has182 days.

(a) If the last coupon payment was made four months ago, how much an investor must pay to buy this bond?

(b) What is the yield to maturity (YTM) of the bond of the bond?

(c) If the market interest rate decreases from 6.9% to 6.7% immediately after the purchase of this bond, what is the percent change in the value of this bond?

(d) If this bond is callable in 4 years with the call price of $1,100 what is the yield to call (YTC) of the bond?