June 12 Update: 
For new money, EverBank pays a1.10%, 6-Month Bonus Rate for New Accounts up to $99,999!
Our Survey Leader at 0.90% at Barclays Bank with no minimum balance

Series I Bonds now pay 1.18% for 6 months:  See iBond Rates

Today's savings account rates at banks we recommend:

Savings Account Rates (APY) as of June 12, 2013

0.90% at Barclays Bank
Online Savings, no hidden fees & No minimum balances
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0.85% at Sallie Mae Bank
High Yield Savings Account, No Monthly Fees, No Minimum Balance
0.90% in Money Market Account with check writing
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0.85% at American Express Bank, FSB
Online Savings Account -No Monthly Fees, No Minimum Balance
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0.85% at FNBO Direct
Online Savings Account. No Min Deposit. No Maintenance Fees.
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0.85% at Mutual of Omaha Bank
Online savings between $25 to $500,000
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0.84% at Ally Bank
Online Savings Account - No minimum, no monthly fees.
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0.80% at CIT Bank
$25,000 minimum -   0.85% APY for balances over $25K
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0.80% at at Discover Bank
  Online Savings Account, No Monthly Fees, $500 Minimum Balance
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0.75% at  CapitalOne360 Bank was ING Direct
360 Savings Account. No Fees. No Minimum Balance.
ING Direct was sold to Capital One!
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0.67 % "ongoing rate" at EverBank
Yield Pledge MM Savings Account, $1,500 Min Balance
1.10%, 6-Month Bonus Rate for New Accounts up to $99,999!
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0.60% at  StarOne Credit Union
Money Market Savings Account, $50 minimum, no monthly fees.
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0.10% at HSBC Direct
Online Savings Account. No Fees. $1 to open, $0.01 Minimum Balance 
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Make sure you read the article: Beware of Annuities

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