A bond with exactly four years until maturity paying 6% p.a. coupons semi-annually and with a face value of $100 was purchased at a yield of 5% p.a. The bond was sold exactly two years later for a yield of 4.50% p.a. All coupons were reinvested at 4.75% p.a.

1. Calculate the purchase price, per $100 of face value.

2. Calculate the future value of the coupons received as at the liquidation date of the bond.

3. Calculate the bond's sale price.

4. Calculate the realised yield on the bond.