You are looking at two investment options, A and B. Investment A is a 15-year annuity that needs end-of-month payment of $1200 and has an APR of 8% compounded monthly. Investment B is also a 15-year investment, but a lumpsum investment that has as an APR of 7% compounded weekly.

(a) 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?

(b) If Investment B (with 7% APR compounded weekly) 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?