Savings institutions often state a nominal rate, which can be thought of as a simple annual interest rate, and the effective interest rate, which is the actual interest rate earned due to compounding. Given the nominal rate, it is easy to calculate the effective interest rate as follows. Assume that $1 is invested in an account paying an interest rate of 6% compounded monthly. Using the compound interest formulaUpper A equals Upper P left parenthesis 1 plus StartFraction r Over m EndFraction right parenthesis Superscript nA=P1+rmn, with P = 1, r = 0.06, m = 12, and n = 12,Upper A equals left parenthesis 1 plus StartFraction 0.06 Over 12 EndFraction right parenthesis Superscript 12 Baseline almost equals 1.0617A=1+0.061212≈1.0617.So the effective interest rate is 1.0617minus−1 = 0.0617, or 6.17%.
Find the effective interest rate for the investments with a nominal yield of 6 %6%, compounded daily.