$5,000 daily compounding certificate of deposit

[mouse]

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?

 

[HallsofIvy]

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 \frac{0.0278}{360}=0.0000772. Applying that for 180 days,
Yield = 5000(1.0000772)^{180}= 5070. 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!)

 

[Pengwuino]

(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.

 

[HallsofIvy]

Yes, but now a savings account will give you about 1 1/2 to 2% interest- still about half what a CD will.