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May 9th, 2016, 11:36 AM  #1 
Newbie Joined: Feb 2012 From: Central Florida Posts: 10 Thanks: 0  average percent multiplier?
If I have 3 fixed rate Annuity or Bank CD accts. The 1st acct a balance of 100,000 earns an annual percent yield of (APY) 3.25% (0.0325). The 2nd acct a balance of 100,000 earns 3.0% (APY). The 3rd acct a balance of 300,000 earns 3.3% (APY). They all have a 10yr maturity date. How would I determine what percent I could multiply the whole balance total of all 3 accts (500,000) to find my yearly earnings (?) without having to do all 3 separate and add them up. 
May 9th, 2016, 11:48 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,746 Thanks: 2133 
The method you've mentioned is essentially the only way.

May 20th, 2016, 02:00 PM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
You could find an "average" interest rate. Since the 3.3% is for three times as much money as the others, "weight" the average: (3.25+ 3+ 3(3.3))/(1+ 1+ 3)=16.15/5 = 3.23. Then Find 3.23% of $500,000: 0.0323(500,000)= $16150. However, that is exactly the same work as finding 3.25% of $100,000= $3250, 3% of $100,00= $3000, 3.3% of 300,000= $9900. $3250+ $3000+ $9900= $16150. 

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