On April 28^th, 2014 Canada sold $1.5 Billion of 50-year bonds with a 2.75% coupons (paid semi-annually) and a yield to maturity of 2.96%.

If we assume that on April 28^th, 2029, the YTM on these bonds has now risen to 8%, and given that there is still 35 years before maturity, what price will each $1,000 bond sell for?

What is the clean price of a $1000 bond, if purchased one day before the bond matures?