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present value

Zzwahira12y ago
dear sir help me with this question: Ayr is planning on paying £300 into a fund on a monthly basis starting three months from now, for twelve months. The interest earned will be at a rate of 3% per month. What is the present value of these payments? A £2,816 B £2,733 C £2,541 D £2,986.
John MoffatJohn MoffatTutor12y ago#1
You discount like any normal question, except that the time period is 1 months and the interest is per 1 month. So......in 3 month periods, the flows are 300 from time 3 to time 12. The interest rate is 3% per period. So, use the 12 period annuity factor at 3% and subtract the 2 period annuity factor at 3%, to be left with periods 3 to 12.
Zzwahira12y ago#2
Sir I didnt understand it help me please I got exams 2morrow I. Worried
BBanu12y ago#3
Dear Mr John I tried but get the following 3% 12 years df (1-12) 9.954 (1-2) 1.913 (3-12) 8.041 * 300 = 2,412.30 pls help - thx
John MoffatJohn MoffatTutor12y ago#4
Sorry - my mistake. It starts in 3 months and is for twelve months in total. So the last payment is in 14 months. So...... Take the annuity factor for 14 periods at 3% per period less the annuity factor for 2 periods at 3% per period.
Zzwahira12y ago#5
Thanks sir now I understand it better
John MoffatJohn MoffatTutor12y ago#6
You are welcome :-)
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