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On 1 July 2018 Power Ltd

Accounting

On 1 July 2018 Power Ltd. issues $10 million in five-year debentures that pay interest each six months at a coupon rate of 5 per cent. At the time of issuing the securities, the market requires a rate of return of 8 per cent. Interest expense is determined using the effective-interest method.

Required:

  1. Determine if the debenture is issued premium or discount? (2 marks)
  2. Determine the Fair Value of the Debentures? (3 marks)

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1). Since, the fair value is less than the face value so the debenture is issued at a discount.

2). We can calculate the fair value by using the following formula in excel:-

=-pv(rate,nper,pmt,fv)

Here,

PV = Fair value of the bond

Rate = 8%/2 = 4% (semiannual)

Nper = 5*2 = 10 periods (semiannual)

Pmt = Coupon payment = $10,000,000*5%/2 = $250,000

FV = $10,000,000

Substituting the values in formula:

= -pv(4%,10,250000,10000000)

= $8,783,365.63