Could I please get help for these 5 problems? #6-10. Work, explnation and solution must be showed. Thank you

6. Annualized interest rates are currently 0.03 (ie., 3.0%) over 1 year, 004 over 2 years, and 0.055 over 3 years. An investment that costs $1,000 today will yield positive cash flows of $300, $400, and $500 in the next three years. What is its NPV? (86.891) The nominal interest rate is 7.0%. The inflation rate is 4.7%. Be exact what is the real interest rate? (2.2%) A 10-year zero coupon bond with a $1,000 face value has an interest rate of 6% per year, what would be the change in the bonds value if the 10-year interest rate were to rise by 0.1%. (S5241) 8, A 10-year bond has an annualized nominal rate of return of 5.9%. Assuming inflation remains at 45% per year, what would be its compounded real rate of return over 10 years? (14.2%) 9, 10. A perpetuity will pay cash flows of $10,000, in real dollars, every year indefinitely starting next year. If the prevailing nominal interest rate is 9.5%, and inflation rate is 4.0% (both forever, what is the PV of this perpetuity? (189,090.909)