The parts a) and b) below are independent questions which do not relate to each other. A 10-year bond with a face value of $1,000 pays coupons every 6 months at 5% p.a. compounded half-yearly. Victor purchased the bond on the issue day at a price that would give him a yield to maturity of 6% p.a. compounded half-yearly. Calculate the price Victor paid for the bond. (Round your answer to the nearest cent). (3 mark)