Given the data in the table and the information below, please answer the following parts. Show all working and formulas used.   

The forward rate for a 3-year loan beginning in 2 years is 0.067%. The forward rate for a 2-year loan starting in 3 years is -0.194%.

 1)   Please calculate the 3-year spot rate.                                          

2)   Please calculate the 2-year spot rate.

Maturity (T) Spot Rate (%) r(1) 0.05 r(2) r(3) r(4) 0.28 0.12 r(6) 0.03