Be able to convert an Annual Interest Rate with different compounding frequencies to an Effective Annual Rate (and vice versa). Example: What is the Effective Annual Rate ("EAR") for 7.35% compounded monthly/

Respuesta :

Answer:

7.602729%

Explanation:

Given:

Rate of interest = 7.35% = 7.35/100 = 0.0735

Effective Annual Rate (Monthly) = ?

Rate of interest(monthly) = 0.0735 / 12 = 0.006125

n = 1 year x 12  = 12 month

Computation:

Effective Annual Rate (Monthly)  = [tex](1+r)^n-1[/tex]

Effective Annual Rate (Monthly)  = [tex][ (1 + 0.006125 )^{12} - 1 ] \times 100 \\[/tex]

[tex][ (1 .006125 )^{12} - 1 ] \times 100 \\[ 1.07602729 - 1 ] \times 100\\ [0.07602729 ] \times 100 \\7.602729[/tex]

Effective Annual Rate (Monthly) = 7.602729%