Valuation of Future Cash Flows
In this case, we know the EAR is 18 percent, a compounding. Let q stand for the quoted rate. We have:
EAR = [1 + (Quoted rate/m)]^m - 1
0.18 = [1 + q/12]^12 - 1
1.18 = [1 + q/12]^12
We need to solve this equation for the quoted rate, as we did to find an unknown interest rate in Chapter 1.
1.18(1/12) = 1 + q/12
1.0139 = 1 + q/12