What are the answers for both questions 3 and 4. Thanks

Question 3 You are given the following information: Name UK Govt bonds 5 %, maturing 20 Oct 2018 Type: Annual coupons Settlement date: 20 Oct 2014 Denomination: 1000 Yield to 7% Maturity (a) (b) Calculate the Macaulay Duration [4 marks) Find the PRICE VALUE OF A BASIS POINT (PVBP). [4 marks] What will be the theoretical price if the yield to maturity falls by 35 basis points? [3 marks] Calculate the actual price of the bond if yield to maturity effectively falls by 35 basis points. [3 marks) (d) Question 4 Consider the value of a bond portfolio consisting of one 10-year annual 9.25% coupon bond. The yield to maturity is initially set at 8.60%. One can setup a bond portfolio management, immunization which is a procedure to immunize a bond investment from subsequent interest rate changes. In this respect, you are required to calculate the followings, (a) The bond price in Year 3 following a 100 basis point increase in interest rates [5 marks] (b) The total amount of re-invested coupons in Year 3 following a 100 basis point decrease in interest rates. [5 marks) The Portfolio value in Year 3 following a 100 basis point increase in interest rates. [5 marks] (d) The total amount of re-invested coupons in Year 4 following a 25 basis point increase in interest rates. [5 marks) Assume that par value is 1000