My question:

If an investor wants to receive 500000 euros and the expected yield on the 9-year bond is 4.0% then what would be the amount of an initial investment?

If average stock portfolio would yield 7.2% per annum then how much time would it take for a portfolio to increase 3 times in value if all prots are reinvested?

A bond has a face value of $1000, fixed coupon rate of 6% and 3 years to maturity. The discount rate is 1.0%. What is the Macaulay Duration?

A bond has a face value of $1000, fixed coupon rate of 6.8% and 3 years to maturity. The discount rate is 1.8%. If Macaulay duration equals to 2.83, what is modified duration in this case?

Bank has invested 298.6 mln EUR into government bonds with duration 6.5 years and 671.6 mln EUR into government bond with duration 3.5 years. What is the overall duration of the portfolio?