A manager faces a cash outflow of $2,000,000 in 2years. There are two alternatives available:

A 3-yr bond that pays a coupon payment of $90, has a duration of 2.81 years and sells at $930.25.

A set of bonds that mature in 1 year with a single payment of $1,060 and sell for $933.22

The yield to maturity is 9 percent. How much should he invest in the 1-year and 3-year bonds so that the portfolio is fully immunized?