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Annuity

NNalin8y ago
Hi Sir, I would like yo ask a question. What is the present value of an annuity of $3,000 per annum discounted at 6% per annum if the annuity starts at the end of the third year and finishes at the end of the 10th year? A. $22,080 B. $16,581 C. $996 D. $14,061 The answer is B. But shouldn't it be D? I am confused regarding the part mentioned at annuity starts at end of third year. So for annuity should we do annuity of 1-10 minus 1-2 or annuity 1-10 minus 1-3? Thank you
John MoffatJohn MoffatTutor8y ago#1
B is the correct answer. The 10 year annuity gives the total discount factor for years 1 to 10. We need the total for years 3 to 10, so we need to subtract the total for years 1 to 2 (which is the 2 year annuity factor). I do suggest that you watch my free lectures on this, because I do explain this point with examples. (The lectures are a complete free course for Paper F2 and cover everything needed to be able to pass the exam well.)
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