Q6. The following details indicate the immunization of bond compute as indicated:

1. A Four year bond has a par value of $ 1000 with a coupon rate of 6% with a current continuously compounded yield of 9%. Calculate the duration for the same and net present value
2. If a zero coupon bond is purchased for immunization what is its face value.
3. With this zero-coupon bond assume that interest rate increases to 11% and decreases to 8% compute to indicate the net position value.

Please solve it all as it is a complete one question.