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wel
3 years ago
7

ABC Inc needs to raise $111 million to expand operations. The CFO plans to sell 15-year zero-coupon bonds to fund the project. B

onds of similar maturity and risk are priced by the market to yield a 4.2% semiannual APR. What total face value of bonds must be sold to raise the cash?
Business
1 answer:
oee [108]3 years ago
7 0

Answer:

$207.06 million

Explanation:

First and foremost, it should be borne in mind that the price of a zero-coupon bond is the present value of its face value since the bond does not pay any coupons over its tenor as shown thus:

PV of bonds=FV/(1+i)^n

PV of bonds=amount required=$111 million

FV=face value=the unknown

i=semiannual yield = 4.2%/2=2.1%

n=number of semiannual periods in 15 years=15*2=30

$111=FV/(1+2.1%)^30

FV=$111*(1+2.1%)^30

FV=$207.06 million

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Journal Entries

On Jan 1

Cash A/c           Dr. $9,594,415

Discount on bonds payable A/c        Dr. $405,585

      To Bonds payable A/c          $10,000,000

(Being the issuance of bond payable is recorded)

Discount value of issued bonds = $10,000,000 - $9,594,415 = $405,585

2).

On Jun

Interest expenses A/c             Dr. $390,559

Discount on bonds payable A/c($405,585 ÷10)           Dr.40,559

 To Cash A/c($10,000,0000 × 3.5%)     $350,000

(Being the payment of first semiannual interest is recorded)

3).  

On Dec 31

Interest expenses A/c              Dr. $390,559

Discount on bonds payable A/c($405,585*10/100)     Dr.$40,559

 To Cash A/c($10,000,000*3.5/100)      $350,000

(Being the payment of second semiannual interest is recorded)

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= Interest Expenses + Amortized Discount

= $700,000 + $81,117

= $781,117

Interest expenses = $350,000 + $350,000 = $700,000

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c).The Company issued the bonds at $9,594,415 for the face amount of $10,000,000 because bonds issued at discount for $405,585 as the coupon rate is less than the market interest.  

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