The treasurer of a large corporation wants to invest $20 million in excess short-term cash in a particular money market investment. The prospectus quotes the instrument at a true yield of 3.15 percent; that is, the EAR for this investment is 3.15 percent. However, the treasurer wants to know the money market yield on this instrument to make it comparable to the T-bills and CDs she has already bought. If the term of the instrument is 90 days, what are the bond equivalent and discount yields on this investment? (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.)

The solution starts like this:

1.0315 = [1 + (APR)(90 /365)]^365/90

Bond equivalent yield (APR) = 3.113%

However, I dont know how to get the result of 3.113%. Can you please explain how to solve that equation step by step? Thanks.