Consider a coupon bond with 10000$ face value, 5% coupon rate with annual coupon payments, and maturity of 3 Years.

1- Assuming there are 3 (three) years left until maturity and the yield to maturity (interest rate) is 6% on this bond, Calculate the present value of the face value, demonstrate calculation steps briefly.

2- Assuming there are 3 (three) years left until maturity and the yield to maturity (interest rate) is 6% on this bond, Calculate the total present value for all coupon payments, demonstrate calculation steps briefly.

3-Assuming 1 (one) year has passed since this bond has been issued (in other words there are 2 (two) years left until the maturity of this bond) and the yield to maturity (interest rate) is 6% on this bond, Calculate the total present value for this bond and demonstrate calculation steps briefly.