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MikeLittle.
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- February 10, 2017 at 6:02 am #371819
“Each year the discount is then ‘unwound’. This increases the deferred liability each year(to increase future cash liability) and then discount is treated as finance cost.
-could you explain what does this sentence mean, specially the word ‘unwound’ in this context and also how discount is treated as finance cost?
Thanks.
February 10, 2017 at 7:34 am #371827This is an F2 topic!
When we have to pay an amount at some point in the future (typically 3 years in ACCA examinations), we are required to account for that amount at its present value
Here’s an example:
We buy an item of PPE and the payment terms are that we shall pay $10,000 on 31 December each year for 2 years as well as an immediate payment of $5,000
Our cost of capital is 10%
At what value should we record the purchase cost of the asset?
$5,000 is payable immediately so that amount has a present value of $5,000
The first instalment of $10,000 is not payable until 12 months hence so what is the PRESENT value of that $10,000 in 12 months’ time?
Well, we could invest money today so that, in 1 year’s time we shall have $10,000 ready for paying as the first instalment. How much should we invest today at 10% interest?
$9,091 because $9,091 + 10% of $9,091 = $10,000
We arrived at the figure of $9,091 by discounting that $10,000 payment by the process of multiplying it by 1/ (1+r) where r is the cost of capital expressed as as percentage (in our case that’s 1/ (1+.10) or .90909
We can do the same exercise for the instalment payable at the end of year 2
Well, we could invest money today so that, in 2 years’ time we shall have $10,000 ready for paying as the second instalment. How much should we invest today at 10% interest?
$8,264 because $8,264 will earn 10% interest of $826 and the amount will have risen after 1 year to $9,090 and we already know that $9,090 equates to $10,000 after a further year
So the present value of our PPE is $5,000 + $9,091 + $8,264 = a total of $22,355 and the double entry on 1 January to record the acquisition is:
Dr TNCA $22,355
Cr Cash $5,000
Cr Payables $17,355But that suggests that we’re only going to pay $22,355 whereas we know that we shall have to pay $25,000 and the difference is the discounted finance cost
At the end of the year, just before we need to make that first payment of $10,000 we should unroll the discounted finance cost
We achieve this by considering the $17,355 that we have ‘borrowed’ ie the deferred payment
Take that figure and multiply it by the cost of capital 10% and that gives us the figure of $1,735
This is the finance cost for the first year and we record this with the double entry on 31 December as:
Dr Finance costs $1,735
Cr Payables $1,735Now we have a balance in the payables account of $17,355 + $1,735 = $19,090
Now pay that first $10,000
Dr Payables $10,000
Cr Cash $10,000and leave a balance in Payables account of $9,090
At the end of the second year, take that figure and multiply it by the cost of capital 10% and that gives us the figure of $909
This is the finance cost for the second year and we record this with the double entry on 31 December as:
Dr Finance costs $909
Cr Payables $909Now we have a balance in the Payables Account of $9,090.90 + $909.09 = $10,000
Now pay that second $10,000
Dr Payables $10,000
Cr Cash $10,000and leave a balance in Payables account of $Zero
Is that a sufficient explanation?
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