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Cost of Irredeemable debt

HHashir8y ago
I came across a question in BPP study text : “Henryted has 12% irredeemable bonds in issue with a nominal value of $100. The market price is $95 ex interest. Calculate the cost of capital if interest is paid half-yearly.” Solution: “If interest is 12% annually, therefore 6% is payable half-yearly. Cost of loan capital = (1+6/95)^2 -1 = 13.0% Please help me with this as i don;t get why the 1s are. And also please let me know how the calculations would be if it is paid, say, quarterly or every 4 months and also if interest is paid every 2 years (which might be rare).
John MoffatJohn MoffatTutor8y ago#1
To the best of my memory, this has never been asked in the exam (interest has always been annual). If it is asked, then the half yearly interest is 6/95. To turn this into a yearly effective rate, then 1 + the yearly rate = (1 + half-yearly rate)^2 (For a full explanation as to why, watch the Paper F2 lectures on interest). If it was payable quarterly, then 1 + yearly rate = (1 + quarterly rate)^4. Paying it every 2 years will never ever happen in the exam!!
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