Problem 1Assume that a $1000 treasury bill is quoted to pay 5% interest over a s

Problem 1Assume that a $1000 treasury bill is quoted to pay 5% interest over a six-month period.How much interest would the investor receive?What will be the price of the treasury bill?What will be the effective yield?Problem 2Given a 15-year bond that sold for $1000 with a 9% coupon rate what would be the price of the bond if interest rates in the marketplace on similar bonds are now 12%? Interest is paid semi-annually. Assume a 15 year-time period.Must show all work and calculations. Work must be legit. I have already performed work and just looking to double check my own calculations. Therefore if you are not good in finance please do not reply to my work.