The interest rate on the Series EE savings bonds you purchased between January 2002 and May 2005 changes every six months. The interest rate for these bonds is 90 percent of the average yields on five-year Treasury notes for the preceding six months. The new interest rates are announced in May and November and are the annual rates that apply to the savings bonds for the next six-month earning period. The current interest rate is 0.81 percent for the bonds you purchased between January 2002 and May 2005, but your average yield on these bonds over the time you've held them is between 2.85 percent and 2.96 percent.
Series EE savings bonds are, by law, required to double in value in 20 years. That means that regardless of the yield you're currently earning on the savings bonds, by waiting to redeem the bonds until they're 20 years old, you're guaranteed to earn about 3.5 percent.
Your older savings bonds currently are only earning 0.81 percent, but the oldest of the group are halfway to the 20-year mark. If you don't need the money, I don't see the need to cash them in only to invest them in a money market account. You may be able to improve on the 0.81 percent, but you won't be able to beat the guaranteed 3.5 percent by moving the bonds into a money market account -- assuming you don't need to cash in until the bonds hit the 20-year mark.
Taxation is another issue. You have the ability to defer paying income tax on the interest earnings until you cash them in or the bonds mature, whichever comes first. That said, you don't have to defer paying the tax, you can pay it in the year earned. For some savers, most often for savings bonds held in a child's name, that would be advantageous over deferring paying income taxes. If you qualify for and plan to use the education tax exclusion when redeeming savings bonds, you would want to defer taxation until the bonds are redeemed for qualified higher education expenses.
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