Confused about daily interest and compound interest

Researching savings accounts and it seemed to me that by far the best option is interest paid daily  as it would compound. This can't be true or else why would anyone take interest paid monthly or yearly?

My understanding of an interest paid daily account is that if you start off with £100 and the interest rate is 5% the next day you have £105. The next day you have £110.25 etc.

If you opt for interest paid yearly then I understand it calculates the interest at the close of business every day of the year and adds those numbers together. So, there is no compounding.

I must be wrong! Everyone would have interest paid daily accounts and monthly/yearly wouldn't exist!

Can someone enlighten me please?
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Comments

  • Dazed_and_C0nfused
    Dazed_and_C0nfused Posts: 17,018 Forumite
    10,000 Posts Fifth Anniversary Name Dropper
    reg091 said:
    Researching savings accounts and it seemed to me that by far the best option is interest paid daily  as it would compound. This can't be true or else why would anyone take interest paid monthly or yearly?

    My understanding of an interest paid daily account is that if you start off with £100 and the interest rate is 5% the next day you have £105. The next day you have £110.25 etc.

    If you opt for interest paid yearly then I understand it calculates the interest at the close of business every day of the year and adds those numbers together. So, there is no compounding.

    I must be wrong! Everyone would have interest paid daily accounts and monthly/yearly wouldn't exist!

    Can someone enlighten me please?
    If only that were true!

    If the daily interest was 5% it would be a scam.

    If the annual interest was 5%, which is possible without it being a scam, then £100 would earn just over a penny in interest.
  • ColdIron
    ColdIron Posts: 9,692 Forumite
    Part of the Furniture 1,000 Posts Hung up my suit! Name Dropper
    reg091 said:
    My understanding of an interest paid daily account is that if you start off with £100 and the interest rate is 5% the next day you have £105. The next day you have £110.25 etc.
    £5 a day, if only
    You need to read and understand this
  • TheSpectator
    TheSpectator Posts: 850 Forumite
    500 Posts Name Dropper
    Interest is calculated daily on most mortgages and if we used your logic we'd all be owing millions by now.
  • flaneurs_lobster
    flaneurs_lobster Posts: 5,721 Forumite
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    If the annual interest was 5%, which is possible without it being a scam, then £100 would earn just over a penny in interest.
    er, isn't the amount earned £5?
  • TheSpectator
    TheSpectator Posts: 850 Forumite
    500 Posts Name Dropper

    If the annual interest was 5%, which is possible without it being a scam, then £100 would earn just over a penny in interest.
    er, isn't the amount earned £5?
    I think they meant a peny a day as OP talking about daily interest.
  • Dazed_and_C0nfused
    Dazed_and_C0nfused Posts: 17,018 Forumite
    10,000 Posts Fifth Anniversary Name Dropper

    If the annual interest was 5%, which is possible without it being a scam, then £100 would earn just over a penny in interest.
    er, isn't the amount earned £5?
    I think they meant a peny a day as OP talking about daily interest.
    Correct, after one day they would earn ~1p in interest, not £5.
  • flaneurs_lobster
    flaneurs_lobster Posts: 5,721 Forumite
    Sixth Anniversary 1,000 Posts Photogenic Name Dropper

    If the annual interest was 5%, which is possible without it being a scam, then £100 would earn just over a penny in interest.
    er, isn't the amount earned £5?
    I think they meant a peny a day as OP talking about daily interest.
    Ah, I see. Just not used to seeing calculations showing daily earnings and made an erroneous assumption.

    Apologies
  • reg091
    reg091 Posts: 209 Forumite
    Ninth Anniversary 100 Posts Name Dropper Combo Breaker
    Forget about the interest rate, is my assumption that the only account that pays compounded interest one that pays daily?
  • reg091
    reg091 Posts: 209 Forumite
    Ninth Anniversary 100 Posts Name Dropper Combo Breaker
    ColdIron said:
    reg091 said:
    My understanding of an interest paid daily account is that if you start off with £100 and the interest rate is 5% the next day you have £105. The next day you have £110.25 etc.
    £5 a day, if only
    You need to read and understand this
    Thanks. I do understand that but what about compounding? Surely if the interest is added to your balance daily then you would get more than if it just added once at the end of the year? I understand that a quoted interest rate is an annual amount (AER) so in the example given of £1000 at 1% doesn't mean you get 1% per day, you get a fraction of that. But the principle of compounding with daily paid interest surely means you will get more than interest paid at year end.
  • Hoenir
    Hoenir Posts: 6,536 Forumite
    1,000 Posts First Anniversary Name Dropper
    Interest isn't added daily to the account. Interest is calculated daily. What's key is how often it is paid to the account holder.
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