The following data relate to a corporate bond which pays coupons semi-annually:

Settlement date 01 March 2022

Maturity date 31 December 2045

Coupon rate 9%

Yield to maturity 10%

Face value $1,000

Percentage of face value paid back to the investor on maturity 100%

Using the above data, calculate

1. The flat price of the bond

2. Accrued interest

3. The invoice price of the bond

Note: Show the assumptions, if any, you made in your calculations.