#Account Balance

49 messages · Page 1 of 1 (latest)

unborn grail
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by ‘pays 8.5%’ does this mean that it earns 8.5% interest?

deft sedge
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yes

unborn grail
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to me it looks like that’s compound interest but i just skim read it

deft sedge
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maybe it is

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i did two working outs, but not sure which is correct

unborn grail
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let me see

deft sedge
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Suzette
30,000 ((1+.085)^15 – 1 / .085)
30,000 x 28.2322
= $846,966.00

Bridgett
30,000 ((1+.085)^12 – 1 / .085) (1.085)
30,000 x 19.549 x 1.085
= $636,319.95

Suzette accumulated the highest amount.

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Suzette
A= $30,000
IR= 8.5% or 0.085
n= 15/2 = 7.5 years

30,000 (1+.085) ^7.5
30,000 x 1.8438
= $55,314.00

Bridgett
A= $30,000
IR= 8.5%, 0.085
n= 15 years

30,000 (1+0.085)^15
30,000 x 3.3997
= $101,991.00

Bridgett accumulated the highest amount.

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there

unborn grail
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give me a min to work them out

deft sedge
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okay thank you

unborn grail
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i cant find my calc sorry!

primal cradle
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ill do it

deft sedge
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okiie

primal cradle
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Suzette - 101992.28 - compound interest
Bridgett - 68250 - simple interest

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Suzette makes more @deft sedge

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it states that suzette interest is compounded but bridgett isnt

deft sedge
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can you show me the working

primal cradle
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alr

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Suzette = 30000 x 1.085^15 = 101992.28

misty carbon
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i didnt realise it would be simple interest for the other one

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dont even need to do any calc to now whos gonna have more

deft sedge
misty carbon
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15 years

primal cradle
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Bridgett = 8.5/100 = 0.85, 0.85 x 30000 = 2550, then use simple interest formula (P(1+rt) , 30000 + (15x2550)

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= 68250

primal cradle
deft sedge
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but it says compounded annually

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wouldn't that affect it?

primal cradle
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yeah thats why the formula is different

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its to the power of 15 since it changes each time for 15 years

deft sedge
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oh i see

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i have a few more similar questions if you dont mind, i've worked them out, i just need clarification

primal cradle
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go ahead

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evben though i need to revise some chemistry

deft sedge
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  1. Assume you took out a 15-year loan of $750,000 to be repaid by monthly payments. The loan has an annual rate of 9% interest. You have paid the loan for 9 years. What is the balance on the loan at that point?
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I = 0.09/12 = 0.0075
N = 15 x 12 = 180 periods
Loan = $750,000

Loan Payment:
750,000 = PMT (1 – 1.0075^-180 / .0075)
750,000 = PMT x 98.5934
PMT = 750,000/98.5934 = $7607.00 each month

Loan Balance:
PMT = $7607.00
R = 9%/12 = 0.0075
N = 6 years x 12 = 72 periods

PVA = 7607.00 (1-1.0075^-72 / .0075)
PVA = 7607.00 x 55.4768
PVA = $422,012.02

Loan Balance is $422,012.02

primal cradle
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lemme see if i get that

primal cradle
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thats gonna take a long time to calculate

deft sedge
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i dont think so

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is mine right?

primal cradle
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it should be looks correct but why did you divide 9% interest by 12

deft sedge
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because it's and annual rate

primal cradle
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its 9 anually

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u dont need to find out for 1 month

deft sedge
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hmm

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but how would I be able to find the period