Suppose that you manage a pension fund that has liabilities of $2 million, $4 million, $8 million, and $10 million coming due in 1, 2, 3, and 4 years, respectively. You want to invest in bonds whose cash flows will exactly match the liabilities. The following bonds are available: 1-year, 2-year, 3-year, and 4-year annual-coupon bonds selling at par; the yields (YTMs) are 1%, 2%, 3%, and 4%, respectively. What's the necessary dollar amount of investment in 1-year bond today?