Please post with mathematical formulas, not an excel sheet

4. An n-year 1,000$ par value bond with 3.25% annual coupons is pur- chased at a price to yield an annual effective interest rate of i. You are given: (i) If the annual coupon rate had been 4.50% instead of 3.25%, the price of the bond would have increased by 100$. (ii) At the time of the purchase, the present value of all the coupon payments is equal to the present value of the bond's redemption value of 1,000$. Calculate