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- This topic has 3 replies, 2 voices, and was last updated 3 years ago by John Moffat.
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- February 10, 2021 at 5:30 pm #609946
Hi John,
Confused with question in Kaplan revision kit.
Q. Company B, a forestry company, is looking to raise $5 million through the issue of 6 year deep discounted zero rated bonds. The issue price has been set at a 40% discount. Kevin may invest but is looking for a return of 10% per annum to do so.
Calculate the gross redemption yield on the deep discounted bonds?
A. 60 x (1+r)^6 = 100
1+r = 1.0889 (how did they work this out line out?). What happened to the ^6 when the 1+r was brought over to the left hand side?
r=8.9%Thanks
GrahamFebruary 11, 2021 at 8:04 am #609996I assume that you are happy with the first line
60 x (1+r)^6 = 100
Dividing both sides by 60 gives:
(1+r)^6 = 1.6667
Therefore 1+r = the 6th root of 1.6667 = 1.0889
February 11, 2021 at 1:24 pm #610041Hi John
I assume that if there is a 40% discount now he pays 60 and then will get back the nominal of 100 in 6 years and that’s where the 60 comes from?
Also, thanks very much for the clarification on the equation
Graham
February 11, 2021 at 4:20 pm #610067Yes, that is the reason and you are welcome 🙂
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