Suppose that you observe the following yields of Treasury securities that are shown based on bond-equivalent basis (annualized rates with semi-annual payments):

Year to Maturity	Yield to Maturity (%)	Spot Rates (%)
0.5	6
1.0	6
1.5	5
2.0	4
2.5	3
3	4

Using bootstrapping, calculate the 1.5 year theoretical annualized spot rate in percentage terms. Please round your answer to 3 decimal places.

Similarly, calculate the 2 year theoretical annualized spot rate in percentage terms. Please round your answer to 3 decimal places.