Index and Match Dates and Values

See my attached spreadsheet. I am trying to get start dates and end dates based upon rates.

The first start date is really simple, I just use A2.

In F2 should return the last date from A2:A27 where the rate is I2

In E3 The I would like to return the first date in A2:A27 where the rate is G3

and so on. If the rate is 0 then the date can be blank or 1/1/1900

Can someone please help?

Thank you!

F2 =MAX(IF($B$2:$B$100=$I2,$A$2:$A$100))

This is an array function so Ctrl+Shift+Enter

E3 =MIN(IF($B$2:$B$100=$I3,$A$2:$A$100))