Suppose you are looking to buy a bond that promises to pay $$650,000$ on the date of maturityin one year. $(23$ points$)$a$.$ If you bid for the bond and wind up paying a price of $$640,000,$ solve for the interest rateon this bond. Round your answer to four decimal places.b$.$ If on the next day, you bid for the bond and pay a price of $$625,000,$ solve for the interestrate on the bond now. Round your answer to four decimal places.c$.$ What is the relationship between the bond price and the interest rate on the bond?