Question

Assume the $19,500 Treasury bill, 4% for 15 weeks. Calculate the effective rate of interest.

Answer 1

The effective interest rate is calculated through the equation,
                               ieff = (1 + i/r)^r - 1
where ieff is the effective interest, i is the nominal interest, and r is the number of 15 weeks in a year. Every year, there are 52 weeks. Thus, there are 3.467 15-weeks approximately. Substituting this into the equation,
                                  ieff  = (1 + 0.04/3.467)^3.467 - 1
                                  ieff = 0.04057
                                     ieff = 4.057%