The periodic monthly rate comes out to 0.47%

It seems the reply you are getting is an annual rate and the reply in the book is an annualized rate

Annual Rate = 0.0047 * 12 = 0.0564 = 5.64%

Annualized Rate = (1+ 0.0047 )^12 - 1 = (1.0047 )^12 - 1 = 1.057881 - 1 = 0.057881 = 5.788%

Not sure how it would be implemented in your calculator though

I used this online Excel RATE calculator to find the monthly rate