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- This topic has 5 replies, 2 voices, and was last updated 10 years ago by John Moffat.
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- August 2, 2014 at 5:54 am #180457
Hi Mr,
I find some question at opentuition website, but some question i cannot to solve it, so need you to help. Please see below:
Question 1 : Two investment are available. Investment P offer interest of 5% per year compounded half-yearly for a period of 4 years. Investment Q offer one interest payment of 18% at the end of its 4 year life. What is the annual effective interest rate offered by each of the two investments?
Question 2:
Time , Output , Overhead , Cost Price index
3 year ago , 2000 , $8800 , 132,current year , 5000 , $31,000 , 164
using highlow method, what is variable cost /unit expressed in current year prices.
Thanks π
August 2, 2014 at 7:44 am #1804701
P: Interest of 5% per year is 2.5% every half year.
If the effective annual rate is R, then (1 + R ) = 1.025^2 = 1.050624
So R = 0.0506 or 5.06%Q: If annual rate is R, then (1 + R)^4 = 1.18
So R = (fourth root of 1.18) – 1 = 0.0422 or 4.22%2
If you restate the cost three years ago in current year prices, then it becomes 8,800 x 164/132 = $10,933
It now becomes a normal high/low problem.
Low is 2000 units with cost of 10933
High is 5000 units with cost of 31000August 2, 2014 at 8:27 am #180474Hi Sir,
Thanks a lot.
But i still don’t understanding the question 1. why ^2 ? the question put 4 years.
1.025^2 = 1.050624please advise.
August 2, 2014 at 10:54 am #180493The question wants the effective rate per year. There are two x six months in a year which is why ^2.
(The four years is irrelevant for this question)August 2, 2014 at 11:07 am #180496Oic. Thanks for your explain.
August 2, 2014 at 7:05 pm #180546You are welcome π
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