A portfolio manager would like to replicate the dollar duration of a portfolio composed of $20 million par value of 5-year bonds, by using a combination of 10 year bonds and cash.

The following information pertains to the bonds under consideration:

Bond	Coupon (%)	Maturity (y)	Price ($ per 100)	Duration
1	5%	5	102.43	4.11
2	6%	10	106.4	8.38

What is the par value of the 10 year bonds that must be acquired for the cash+bond portfolio, in order to match the dollar duration of the original portfolio?