Please help with the following questions.

Please show work.

1) You are analyzing a 4.6% coupon bond that pays interest annually. It has a par value of $1,000 and is now selling for $1,065. It matures in eight years. Face value $1,000. Calculate: a) Current Yield b) Yield to maturity 2) Find the duration of a 5% coupon bond making annual payments with three years to maturity and a yield to maturity of 4.55%. Face Value $1,000. 3) You are analyzing a 5% coupon bond making annual payments and with three years until maturity. The yield to maturity if 4.55%, what is the modified duration? Face Value $1,000. 4) What is the duration of a zero coupon bond that matures in 15 years and is currently selling for $32. 5) You are considering investing in a no load mutual fund that has had excellent performance. At yesterday's closing price the total assets of this mutual fund were $920 Million and it liabilities were $8 Million. The fund has 17.9 Million shares outstanding. What is its NAV as of yesterday's close