Suppose that we observe the yield curve for U$.$S$.$ Treasury securities and would like to estimate a set of spot rates to use for bond valuation.

We construct the theoretical spot rate curve using the following idea: the value of any coupon bond should be equal to the value of the portfolio of zero$-$coupon bonds that matches its cash flows.

The following table reports maturities, coupon rates, and yields for four Treasury securities$.$ Compute the spot rate corresponding to each maturity in the table.