work the answer on paper and Not excel. thanks include all formulas and a little explanation

Assume that a bond has 5 years left to maturity and pays its 6% coupon semi-annually and the prevailing interest rate for this bond is 8%. a) Calculate the price of the bond. (8 Marks) b) Compute the duration and modified duration of the bond. (10 Marks) c) Using modified duration, compute the change in price of the bond if the interest rate increase by 50 basis points. ( 3 Marks) d) Calculate the current market price of a zero coupon bond with a face amount of $1,000, maturing in 30 years, and priced to yield 6%. (4 Marks)