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First Direct's 7% Savings Account

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Comments

  • RG2015
    RG2015 Posts: 6,094 Forumite
    Ninth Anniversary 1,000 Posts Name Dropper Photogenic
    User36750 said:
    Thanks all.

    Not sure it's really worth it for £135ish.

    But thank you for showing workings out too!
    Do you have any alternative plans that would earn more than this?

    If you have £3,600 in an easy access account @ 2.85% you could drip feed it over the 12 months and earn £182 in a year.

    https://www.moneysavingexpert.com/savings/regular-savings-calculator/
  • RG2015
    RG2015 Posts: 6,094 Forumite
    Ninth Anniversary 1,000 Posts Name Dropper Photogenic
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    ColdIron said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    Have you just multiplied £1,800 by 7%?
    A rough calculation
    The calculator does an accurate maths calculation so is better than a rough calculation.
  • masonic
    masonic Posts: 27,986 Forumite
    Part of the Furniture 10,000 Posts Photogenic Name Dropper
    edited 31 December 2022 at 8:45PM
    RG2015 said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    ColdIron said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    Have you just multiplied £1,800 by 7%?
    A rough calculation
    The calculator does an accurate maths calculation so is better than a rough calculation.
    It's not the accuracy of the maths that is at issue here, it is the validity of the underlying assumptions. The end results depend on a number of factors, including which date the account is opened, whether it is a leap year, whether or not the date subsequent contributions is brought forward in the month (not relevant in this case), and if so whether a 13th payment can be made. A 'rough calculation' is likely to use less accurate assumptions than the MSE calculator (for example, calculating on the basis of an assumed average balance), but the MSE calculator will also make some assumptions that may or may not bear out in a real world example. It is possible for one to arrive at a closer answer through a rough calculation if you happen on a more valid set of input values. In this case £1800 is a poor choice of input value for the average balance.
  • masonic
    masonic Posts: 27,986 Forumite
    Part of the Furniture 10,000 Posts Photogenic Name Dropper
    edited 31 December 2022 at 9:10PM
    I'm a fan of the above method, which calculates an average balance based on the formula for the sum of an arithmetic progression. The assumption is that there are an equal number of days between each payment and until maturity, which is clearly not quite right. However, to get more accuracy one must delve into months with different numbers of days, where they fall in the account year, and of course with payments that can't be made on non-working days, or otherwise distributed unevenly. If you've gone that far, you might as well input the whole series of cashflows and relevant dates in order to get a precise answer.
  • RG2015
    RG2015 Posts: 6,094 Forumite
    Ninth Anniversary 1,000 Posts Name Dropper Photogenic
    masonic said:
    RG2015 said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    ColdIron said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    Have you just multiplied £1,800 by 7%?
    A rough calculation
    The calculator does an accurate maths calculation so is better than a rough calculation.
    It's not the accuracy of the maths that is at issue here, it is the validity of the underlying assumptions. The end results depend on a number of factors, including which date the account is opened, whether it is a leap year, whether or not the date subsequent contributions is brought forward in the month (not relevant in this case), and if so whether a 13th payment can be made. A 'rough calculation' is likely to use less accurate assumptions than the MSE calculator (for example, calculating on the basis of an assumed average balance), but the MSE calculator will also make some assumptions that may or may not bear out in a real world example. It is possible for one to arrive at a closer answer through a rough calculation if you happen on a more valid set of input values. In this case £1800 is a poor choice of input value for the average balance.
    I should have said more accurate. £135 is more accurate than £126.

    The poster used a rough calculation and said they weren’t sure how the calculator did it’s maths.

    The calculator clearly gave a more accurate answer than their admitted rough calculation.

    I found their comparison and question illogical.
  • masonic
    masonic Posts: 27,986 Forumite
    Part of the Furniture 10,000 Posts Photogenic Name Dropper
    RG2015 said:
    masonic said:
    RG2015 said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    ColdIron said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    Have you just multiplied £1,800 by 7%?
    A rough calculation
    The calculator does an accurate maths calculation so is better than a rough calculation.
    It's not the accuracy of the maths that is at issue here, it is the validity of the underlying assumptions. The end results depend on a number of factors, including which date the account is opened, whether it is a leap year, whether or not the date subsequent contributions is brought forward in the month (not relevant in this case), and if so whether a 13th payment can be made. A 'rough calculation' is likely to use less accurate assumptions than the MSE calculator (for example, calculating on the basis of an assumed average balance), but the MSE calculator will also make some assumptions that may or may not bear out in a real world example. It is possible for one to arrive at a closer answer through a rough calculation if you happen on a more valid set of input values. In this case £1800 is a poor choice of input value for the average balance.
    I should have said more accurate. £135 is more accurate than £126.

    The poster used a rough calculation and said they weren’t sure how the calculator did it’s maths.

    The calculator clearly gave a more accurate answer than their admitted rough calculation.

    I found their comparison and question illogical.
    Indeed, I don't know exactly what the calculator is doing either, but a quick glance at the official regulated figure from the provider should have indicated which answer should be treated with greater suspicion ;)
  • agent69
    agent69 Posts: 362 Forumite
    Part of the Furniture 100 Posts Name Dropper Combo Breaker
    The amount invested increases from £300 in month one up to £3600 in month 12.

    Average amount invested is £300 + £3600 divided by 2 (£1950). So interest will be £1950 * 7% = £136.50.
  • RG2015
    RG2015 Posts: 6,094 Forumite
    Ninth Anniversary 1,000 Posts Name Dropper Photogenic
    masonic said:
    RG2015 said:
    masonic said:
    RG2015 said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    ColdIron said:
    ColdIron said:
    I'm not sure how the calculator does its maths - I don't make it £135, I reckon closer to £126
    Have you just multiplied £1,800 by 7%?
    A rough calculation
    The calculator does an accurate maths calculation so is better than a rough calculation.
    It's not the accuracy of the maths that is at issue here, it is the validity of the underlying assumptions. The end results depend on a number of factors, including which date the account is opened, whether it is a leap year, whether or not the date subsequent contributions is brought forward in the month (not relevant in this case), and if so whether a 13th payment can be made. A 'rough calculation' is likely to use less accurate assumptions than the MSE calculator (for example, calculating on the basis of an assumed average balance), but the MSE calculator will also make some assumptions that may or may not bear out in a real world example. It is possible for one to arrive at a closer answer through a rough calculation if you happen on a more valid set of input values. In this case £1800 is a poor choice of input value for the average balance.
    I should have said more accurate. £135 is more accurate than £126.

    The poster used a rough calculation and said they weren’t sure how the calculator did it’s maths.

    The calculator clearly gave a more accurate answer than their admitted rough calculation.

    I found their comparison and question illogical.
    Indeed, I don't know exactly what the calculator is doing either, but a quick glance at the official regulated figure from the provider should have indicated which answer should be treated with greater suspicion ;)
    Just to close off this section of the thread, the MSE calculator gives £135 and the FD example gives £136.50.

    The 6.5 method also gives £136.50 so all are pretty close.

    £3,600 x 7% / 2 gives £126 but has the benefit of being an easier calculation for mental arithmetic.

    All have their merits so the choice is personal.


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