You are looking at two investment options, A and B. Investment A is a 15-year annuity that needs end-of-month payment of $1100 and has an APR of 9% compounded monthly. Investment B is also a 15-year investment, but a lumpsum investment that has as an APR of 8% compounded daily.

1. How much money do you need to invest in B today as a single lumpsum amount if you wish to have the same wealth as in Investment A in 15 years?

2. If Investment B (with 8% APR compounded daily) gave you the option of investing a constant amount at the end of every six months then what would this amount be in order to give you the same wealth as in A at the end of 15 years?