How to query Where Datetime many time?

I want query datetime many time. but i try query it's not work.

Example

Table cus_bill

Number       Period
A-20160101   01/2015
A-20160410   04/2015
A-20160912   09/2015
A-20161020   10/2015
A-20161102   11/2015
A-20161219   12/2015

SQL

SELECT v.*
FROM cus_bill v
WHERE TO_DATE('01/'||V.PERIOD,'DD/MM/YYYY') >= TO_DATE('01/'|| '10/2015','DD/MM/YYYY') 
and TO_DATE('01/'||V.PERIOD,'DD/MM/YYYY') <= TO_DATE('01/'|| '12/2015','DD/MM/YYYY')
and V.PERIOD IN ('01/2015','09/2015')  

But it's not work (0 Rows).

Desired output:

Number       Period
A-20160101   01/2015
A-20160912   09/2015
A-20161020   10/2015
A-20161102   11/2015
A-20161219   12/2015


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