Unfortunately MySQL doesn't have a PIVOT function which will convert the rows into columns, so you will need to use an aggregate function with a CASE expression.
The basic syntax of the query will be if you have a limited or known number of columns:
select bank_name,
sum(case when month_year ='10/2011' then payment_sum else 0 end) `10/2011`,
sum(case when month_year ='11/2011' then payment_sum else 0 end) `11/2011`,
sum(case when month_year ='12/2011' then payment_sum else 0 end) `12/2011`
from
(
select bank_name,
payment_sum,
CONCAT(MONTH(payment_due_date), '/', YEAR(payment_due_date)) as month_year
from bank
join finance
on bank.bank_id = finance.bank_id
) d
group by bank_name;
But for your situation, it sounds like you will have an unknown number of dates, so you might need to use a prepared statement to create dynamic sql:
SET @sql = NULL;
SELECT
GROUP_CONCAT(DISTINCT
CONCAT(
'sum(case when month_year = ''',
CONCAT(MONTH(payment_due_date), '/', YEAR(payment_due_date)),
''' then payment_sum end) AS `',
CONCAT(MONTH(payment_due_date), '/', YEAR(payment_due_date)), '`'
)
) INTO @sql
from finance;
SET @sql
= CONCAT('SELECT bank_name, ', @sql, '
from
(
select bank_name,
payment_sum,
CONCAT(MONTH(payment_due_date), ''/'', YEAR(payment_due_date)) as month_year
from bank
join finance
on bank.bank_id = finance.bank_id
) d
group by bank_name;');
PREPARE stmt FROM @sql;
EXECUTE stmt;
DEALLOCATE PREPARE stmt;