Issuing Bonds at a Premium
P3 | Compute and record amortization of bond premium. |
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When
the contract rate of bonds is higher than the market rate, the bonds
sell at a price higher than par value. The amount by which the bond
price exceeds par value is the
premium on bonds Difference
between a bond’s par value and its higher carrying value; occurs when
the contract rate is higher than the market rate; also called bond
premium.. To illustrate, assume that
Adidas
issues bonds with a $100,000 par value, a 12% annual contract rate,
semiannual interest payments, and a two-year life. Also assume that the
market rate for Adidas bonds is 10% on the issue date. The Adidas bonds
will sell at a premium because the contract rate is higher than the
market rate. The issue price for these bonds is stated as 103.546
(implying 103.546% of par value, or $103,546); we show how to compute
this issue price later in the chapter. These bonds obligate the issuer
to pay out two separate future cash flows:
- Par value of $100,000 cash at the end of the bonds’ two-year life.
- Cash interest payments of $6,000 (6% × $100,000) at the end of each semiannual period during the bonds’ two-year life.
The exact pattern of cash flows for the Adidas bonds is shown in Exhibit 14.8.
EXHIBIT 14.8 | Cash Flows for Adidas Bonds |
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When Adidas accepts $103,546 cash for its bonds on the issue date of December 31, 2011, it records this transaction as follows.
These bonds are reported in the long-term liability section of the issuer’s December 31, 2011, balance sheet as shown in Exhibit 14.9.
A premium is added to par value to yield the carrying (book) value of
bonds. Premium on Bonds Payable is an adjunct (also called
accretion) liability account.
EXHIBIT 14.9 | Balance Sheet Presentation of Bond Premium |
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Amortizing a Bond Premium
Adidas receives $103,546 for its bonds; in return, it pays bondholders
$100,000 after two years (plus semiannual interest payments). The $3,546
premium not repaid to issuer’s bondholders at maturity goes to reduce
the issuer’s expense of using the $103,546 for two years. The upper
portion of panel A of Exhibit 14.10
shows that total bond interest expense of $20,454 is the difference
between the total amount repaid to bondholders ($124,000) and the amount
borrowed from bondholders ($103,546). Alternatively, we can compute
total bond interest expense as the sum of the four interest payments
less the bond premium. The premium is subtracted because it will not be
paid to bondholders when the bonds mature; see the lower portion of
panel A. Total bond interest expense must be allocated over the four
semiannual periods using the straight-line method (or the effective
interest method in Appendix 14B).
EXHIBIT 14.10 | Interest Computation and Entry for Bonds Issued at a Premium |
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Straight-Line Method
The straight-line method allocates an equal portion of total bond
interest expense to each of the bonds’ semiannual interest periods. To
apply this method to Adidas bonds, we divide the two years’ total bond
interest expense of $20,454 by 4 (the number of semiannual periods in
the bonds’ life). This gives a total bond interest expense of $5,113 per
period, which is $5,113.5 rounded down so that the journal entry
balances and for simplicity in presentation (alternatively, one could
carry cents). Panel B of Exhibit 14.10 shows how the issuer records bond interest expense and updates the balance of the bond liability account for
each semiannual period (June 30, 2012, through December 31, 2013).
Point: A premium decreases Bond Interest Expense; a discount increases it.
EXHIBIT 14.11 | Straight-Line Amortization of Bond Premium |
* Total bond premium (of $3,546) less accumulated periodic amortization ($887 per semiannual interest period).
† Bond par value (of $100,000) plus unamortized premium.
‡ Adjusted for rounding. |
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Exhibit 14.11
shows the pattern of decreases in the unamortized Premium on Bonds
Payable account and in the bonds’ carrying value. The following points
summarize straight-line amortization of the premium bonds:
- At issuance, the $100,000 par value plus the $3,546 premium equals the $103,546 cash received by the issuer.
- During
the bonds’ life, the (unamortized) premium decreases each period by the
$887 amortization ($3,546/4), and the carrying value decreases each
period by the same $887.
- At maturity, the unamortized premium
equals zero, and the carrying value equals the $100,000 par value that
the issuer pays the holder.
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