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Son of Sam 2:34 Sun Dec 8
How do you calculate this?
Find the accumulated value of an annuity due of $400 payable at the beginning of every month for ten years at 6% compounded monthly.

Replies - Newest Posts First (Show In Chronological Order)

. . 12:10 Mon Dec 9
Re: How do you calculate this?
using Excel I made it 435275.10
Used the formula * 1.06 and just went down sheet 120 times

. . 12:02 Mon Dec 9
Re: How do you calculate this?
400 + 6% = 424 after Month 1. Month 2 same calculation but use 424 = 449.44 keep going until you get to month 120 and that is your answer
I suggest you use Excel

BRANDED 11:12 Sun Dec 8
Re: How do you calculate this?
Start with 36,209.53

Year Year Withdraw Year. Interest Total Withdraw Total Interest Balance

BRANDED 11:07 Sun Dec 8
Re: How do you calculate this?
1 ($4,800.00) $2,074.43 ($4,800.00) $2,074.43 $33,483.96
2 ($4,800.00) $1,906.32 ($9,600.00) $3,980.75 $30,590.28
3 ($4,800.00) $1,727.85 ($14,400.00) $5,708.60 $27,518.13
4 ($4,800.00) $1,538.36 ($19,200.00) $7,246.96 $24,256.49
5 ($4,800.00) $1,337.19 ($24,000.00) $8,584.15 $20,793.68
6 ($4,800.00) $1,123.61 ($28,800.00) $9,707.76 $17,117.29
7 ($4,800.00) $896.86 ($33,600.00) $10,604.62 $13,214.15
8 ($4,800.00) $656.12 ($38,400.00) $11,260.75 $9,070.28
9 ($4,800.00) $400.54 ($43,200.00) $11,661.28 $4,670.81
10 ($4,800.00) $129.19 ($48,000.00) $11,790.47 $0.00

Spandex Sidney 8:09 Sun Dec 8
Re: How do you calculate this?
Having completed my financial adviser qualifications I should know this. It's full of shit like this.

However I don't!

The thing to watch out for is the payment is due at the beginning of the month and interest is added at the rate of 6% / 12 at the end of the month. So the end of the first month it's worth $402. You carry that figure forward, add on the next $400 and do the same to the $802 to make $806.01 at then end of month two.

This is then repeated a further 119 times to

Son of Sam 7:39 Sun Dec 8
Re: How do you calculate this?
if you go to the savings calculator page https://www.thecalculatorsite.com/finance/calculators/savings-calculators.php and put in 0 and then adding 400month at interest mentioned you get $7,682,793.42

BRANDED 5:05 Sun Dec 8
Re: How do you calculate this?
https://www.thecalculatorsite.com/finance/calculators/compoundinterestcalculator.php

BRANDED 5:04 Sun Dec 8
Re: How do you calculate this?
If you put you final number in that compound interest calculator I sent you you get the right numbers Son.

Son of Sam 4:58 Sun Dec 8
Re: How do you calculate this?
legrandefromage 4:26 Sun Dec 8

How do you get that?

Kaiser Zoso 4:43 Sun Dec 8
Re: How do you calculate this?
Give it up, thicko.

Noah 4:41 Sun Dec 8
Re: How do you calculate this?
https://investmentproperty.co.uk/property-investment-resources/parrys-valuation-investment-tables-property-investment-appraisals/

BRANDED 4:36 Sun Dec 8
Re: How do you calculate this?
What is the equation for that?

BRANDED 4:35 Sun Dec 8
Re: How do you calculate this?
(nt)

BRANDED 4:32 Sun Dec 8
Re: How do you calculate this?
Nice work. I guess the word annuity was the operator.

legrandefromage 4:26 Sun Dec 8
Re: How do you calculate this?
The answer is 36,209.53 if what you are looking for is the present value of an annuity that will pay 400 each month for 10 years (120 payments) at 6% p.a. compound (0.5% per month)

That is you would need the 36k now to generate the 400 per month payments while the balance continues to attract interest during the payment period.

BRANDED 4:21 Sun Dec 8
Re: How do you calculate this?
If it’s that then put it on the fucking horses

charleyfarley 4:05 Sun Dec 8
Re: How do you calculate this?
Yr 1 is 400 x 0.06 = 24
yr 2 is 400 +24 x 0.06 = 25.4

yr 10 is 400 x 1.06 to the power of 10
therefore 400 x 1.06^10 = 400 x 1.79 = $716

BRANDED 3:18 Sun Dec 8
Re: How do you calculate this?
Basically with no interest it’s $4,800 a year
So with no interest it would be ten times that which is $48,000
If the interest is added at the end of each month you have to work out the interest rate and then apply if to the end of month figure each month for 120 months.
Month one is $480 plus the interest = a
Month two is (a+$480) x interest rate

Etc

BRANDED 3:13 Sun Dec 8
Re: How do you calculate this?
Yes it is.

Son of Sam 3:12 Sun Dec 8
Re: How do you calculate this?
its actually a homework question im trying to help with , it is not a real situation, and the question was phrased like that.

So i found this
https://www.bankrate.com/calculators/investing/annuity-calculator.aspx

put in the figures and it spat out 36,209 and was wondering how that was calculated or what formula is used

Stubbo 3:09 Sun Dec 8
Re: How do you calculate this?
6% a reasonable expectation of stock market rate of return over 10 years?

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