The return an investor earns on a bond over a period of time is known as the holding period return, defined as interest income plus or minus the change in the bond$$s price, all divided by the beginning bond price. a$.$What is the holding period return on a bond with a par value of $$1,000$ and a coupon rate of $6$ percent if its price at the beginning of the year was $$1,050$ and its price at the end was $$940?$ Assume interest is paid annually. b$.$ Can you give two reasons the price of the bond might have fallen over the year? please use mathematicsl calculations for part a$,$ and $2$ paragraphs for part b$.$ Thank You!