Entry of Interest Payments on Books

Booking the payment of the periodic interest is accomplished by a charge to Bond Interest and a credit to Cash. This interest should never be entered in the regular Interest and Discount account. If the bonds are coupon bonds with the coupons redeemable through a designated trust company, a check for the full amount of the interest on the outstanding bonds should be issued and booked as above. If the coupons are redeemable at the company’s office, an entry debiting Bond Interest and crediting Coupons Payable should be made, to record the interest charge and the liability therefor. As the coupons are redeemed, Coupons Payable is charged and Cash credited, any balance remaining in Coupons Payable account representing the liability existing because of coupons not yet presented for redemption. In the case of bonds registered both as to principal and interest, the interest checks made payable to the registered parties constitute a charge to Bond Interest and a credit to Cash. It is sometimes advisable to transfer by one check the total bond interest payable to a special bank account and issue the individual interest checks against this fund. Whenever the books are closed it is always necessary, unless the end of the fiscal period coincides with the bond interest date, to take account of the accrued bond interest as on that date. The adjusting entry here is similar to that for any accrued expense.

Relation of Bond Interest to Premium or Discount

The main problem in connection with accounting for bond interest is that of the relation between bond premium or discount and the periodic bond interest. At practically any time in the market there is a rate at which the bonds could be sold at par. This rate is known as the effective rate. If a company puts an issue of bonds on the market at a higher rate than this, the market will offer a premium for them. The amount of the premium will be, theoretically, the present value of the periodic sum represented by the difference between the stated bond interest and the effective interest, these periodic payments extending over the life of the bond. In other words, the premium represents the price paid to buy the additional interest, dollar for dollar, on a compound interest basis. The premium is therefore not an earning, an item of income, but is an offset to the excess bond interest. The portion of it applicable to each period represents the excess interest which deducted from the bond interest shows the real or effective cost of the money borrowed and to be paid back. Thus, the bond interest rate based on the money actually received, i.e., par plus premium, is exactly the same as the market or effective rate on par. In other words, the corporation is paying for its actual borrowings simply the current market rate of interest.

It is therefore incorrect to show on the books the cost of the loan at any other figure than the effective interest. The actual periodic payment of interest is, however, at the bond interest rate. This must be brought down to the effective rate by application to it of a portion of the premium which represents the sum paid for the privilege of receiving the higher rate of interest. Similarly, bonds are marketed at a discount when the bond interest rate is lower than the market rate prevailing on similar security at the time the bonds are floated. This may be looked upon as a payment by the company in lump sum to compensate a purchaser for the difference in the income on the bond and what he might obtain on the open market. The discount should be applied, therefore, periodically to bring the cost of the loan up to its true figure, viz., the market or effective rate. An illustration will clarify the points of the above discussion.

Example of True Interest Cost

Assume a 7% bond, interest every six months, payable in 25 years (50 periods), par $1,000, sold in a market whose prevailing interest rate is 6%. By the method developed on page 273, the value of such a bond is found to be $1,128.6488, the premium being $128.6488. At the effective rate the real cost to the issuing company is 3% on $1,128.6488, or $33.8595. The actual sum paid as interest is $35, i.e., 3½% on $1,000. The difference between the effective and actual bond interest, or $1.1405, is the portion of the premium to be used that period in order to reduce the amount of actual interest paid to the real or effective cost of the loan. The bookkeeping entries are:

(6) Bond Interest$35.00
Cash $35.00
(7) Premium on Bonds1.14
Bond Interest 1.14

Similar calculations and entries for each of the succeeding 49 periods would be made, the application of the effective rate always being, of course, to the amortized value of the bond as on that date. This process is called scientific amortization of the premium (or discount) of the bond. Its effect is readily seen to be to spread over the life of the bond the premium (or discount) and so not to take credit for it in a lump sum during the period in which the bond is matured. There are four cases to which this principle of showing the true interest cost is applicable, as follows: