show all work

PROBLEM III (10 Points) You buy a $1 million face value 180 day t-bill at a discount yield of 6 percent. 1. What is the price of the bill? 2. What is the simple interest yield on the bill? 3. Suppose you sold the bill after 30 days at a price of $977,000, what is your holding period yield? 4. What is your profit or loss if you financed the bill with a 30-day term repo @ a repo rate of 5.5 percent? Assume the bill will be sold at the end of 30 day at a discount yield of 5.52 percent. 5. A Money Market Portfolio has $10 billion invested in 90-day T-Bills and $5 billion in 180-day T-bills. What is the gain or loss in the portfolio if interest rates fall by 10 basis points in 90-day T-bills and rise by 10 basis points in 180-day T-bills