$5,000 daily compounding certificate of deposit

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Discussion Overview

The discussion revolves around the calculation of returns on a $5,000 daily compounding certificate of deposit (CD) with a specified interest rate and annual percentage yield over a six-month period. Participants explore the formula for calculating the final amount at maturity and share their perspectives on current interest rates compared to historical rates.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Historical

Main Points Raised

  • One participant inquires about the final amount after six months and requests the formula for calculation.
  • Another participant calculates the yield based on a daily compounding interest rate, providing a specific formula and result of $5,070 after six months.
  • A participant reflects on historical interest rates, noting that CDs used to earn significantly higher rates compared to current offerings.
  • Another participant comments on the current low-interest environment for savings accounts and CDs, suggesting that they are less favorable compared to past rates.

Areas of Agreement / Disagreement

Participants express differing views on the attractiveness of current interest rates compared to historical rates, indicating a lack of consensus on the value of CDs and savings accounts today.

Contextual Notes

Participants reference different methods of calculating interest and historical context, but there is no resolution on the overall value of current financial products compared to the past.

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howdy,

i am considering of opening a $5,000 daily compounding certificate of deposit for six months with an interest rate of 2.78% and an annual percentage yield of 2.82%. how much money will i get after the six month maturity date and what's the formula for this? :redface:
 
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There are 180 days in 6 months (banks, I believe, use a nominal "360 day year"). Since this is compounded daily, calculate everything in terms of days- in particular, the daily interest is [tex]\frac{0.0278}{360}=0.0000772[/tex]. Applying that for 180 days,
Yield = [tex]5000(1.0000772)^{180}= 5070[/tex]. Your $5000 will have earned $70 interest in the 6 months.

(I remember when certificates of deposit would earn 10% a year. Of course, inflation was was 14% and mortgages were 18% then!)
 
HallsofIvy said:
(I remember when certificates of deposit would earn 10% a year. Of course, inflation was was 14% and mortgages were 18% then!)

what, Carter?

Pff, banks and bonds right now are just a waste of time hehe. I think about 8 years ago or so, i was getting like, 2x as much interest in my savings account then I could get in a 2-year $10,000+ CD now-a-days.
 
Yes, but now a savings account will give you about 1 1/2 to 2% interest- still about half what a CD will.
 

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