Iphone 5 to iphone 4 lightning adapter?

I got an ihome for christmas, it is for the iphone 5 or new ipod touch. I unfortunately still have the iphone 4.Is there a lightning adapter that has an iphone 5 port on the bottom and an iphone 4 on the top instead of just the opposite? Is the micro usb to iphone 4 the same as iphone 5 to iphone 4?

Found this
http://www.miniinthebox.com/lightning-female-connector-to-30-pin-male-connector-cable-15cm_p693543.html?currency=GBP&litb_from=paid_adwords_shopping