Suppose the treasury spot rate curve is the following. Verify the theoretical price of a 4-year 6% coupon paying Treasury security is $94.2906
Years to maturity/Yield to maturity: 0.5 / 5.00% , 1.0 / 5.40% , 1.5 / 5.80% , 2.0 / 6.40% , 2.5 / 7.00% , 3.0 / 7.20% , 3.5 / 7.40% , 4.0 / 7.80%