- This topic has 5 replies, 4 voices, and was last updated 10 years ago by John Moffat.
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- June 4, 2014 at 4:22 pm #173792
someone help me with this.
James wants to invest his pocket money. He receives £5 a month which he puts into a savings account earning
compound interest at 0·5% per month.
If James saves his money, how much will be in the account in five years’ time (to the nearest £)?
A £303
B £338
C £349
D £354June 5, 2014 at 2:24 am #174043hi
i think it’s a future value of annuities
as the rate is monthly,
5 years times will be 5*12=60 monthsVA value of annuity due
VA= a (1+i)^n -1/i
n the time, i=rate a= monthly saving VA=amount in 5 years
VA= 5(1.005)^60 -1/ 0.005= 348.80 to the nearest is £349,
for me it’s cJune 5, 2014 at 5:03 am #174064Hmm thanks 4 ur help
June 13, 2014 at 4:20 pm #176474I am not getting that answer. Unless I am inputting it wrong into the calculator?
#confused.June 13, 2014 at 8:08 pm #176500sorry, I’m getting the same answer. You can post this question to the “ask tutor F2” forum maybe Sir John will help us.
June 14, 2014 at 11:11 am #176546josy87’s answer is correct.
First calculate the present value by multiplying $5 by the annuity discount factor for 60 periods at 0.5% (0.005) per period, using the formula for the annuity factor.
Then multiply the present value by (1.005)^60 to compound it up for 60 periods at 0.5% per period.
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