This is a zero rates bootstraping question. Suppose there are three coupon bearing treasury bonds. The face value of all three bonds are $100. The first coupon payments for all three bonds will take place in 6 months. The first bond provides coupon at rate of 2% per annum semiannually and will mature in 1.5 years. The current price of the first bond is 98.8102. The second bond pays coupon at the rate of 2% per annum semiannually and will mature in 1 year. The current price for the second bond is 99.4954. The third bond pays coupon at the rate of 1 % per annum annually and will mature in 1.5 years. The price of the third bond is 97.8349. What are 0.5-year zero rate, 1-year zero rate, and 1.5-year zero rate, assuming the zeros rates are measured with continuously compounding? (Hint: using simultaneous equations to find the zero rates. You should have 3 equations with 3 unknown. This simultaneous equations system can be solved analytically.)