I am having trouble with these questions....Can someone please help me with these. I would really appreciate it if you would show me your work/formula.

I am trying to study for an exam, and need to see how the problems are worked out.

Thank you for the help in advance.

5- A bond (semi-annual payments) currently has a price of $1,052.50, a coupon rate of 8%, and time to maturity of 12 years. What is the YTM? 6. Compute the duration and modified duration of a 4vear bond that makes annual payments with a coupon rate of 9% and a YTM of 7%. 7. If interest rates FALL by 100 basis points, what is the dollar and percentage change in price? 8. If interest rates RISE by 100 basis points, what is the dollar and percentage change in price? 9. If the coupon rate was 590 instead of 990, would the bond be more or less sensitive to changes in itn changes in interest rates? Explain