CPA FAR Bonds: Reconcile Carrying Value and Interest Expense (2027 Prep)

Nora's bond schedule shows $6,440 of cash interest and $8,499.55 of interest expense for the same six months. The figures look inconsistent until she checks which balance and rate belong to each calculation.

They measure different amounts. Cash follows the contract's coupon, while effective interest expense follows the opening carrying amount and the issue-date yield. The difference changes the unamortized discount in this original issuer-accounting example.

Keep the perspective fixed. Nora is preparing the borrower's records, using a fictional bond with no issuance costs or unusual features. We will reconcile its first payment, follow the carrying amount to maturity and explain the one-cent rounding adjustment at the end.

Put the bond terms beside the two periodic rates

Our fictional issuer sells $184,000 face value of three-year bonds on January 1 of Year 1. The annual stated coupon is 7%, paid every June 30 and December 31, with principal repaid on December 31 of Year 3.

Six payments are scheduled. The issue-date market yield is 10% nominal annually, compounded semiannually, so this example uses 5% per six-month period. Its coupon rate per payment period is 3.5%.

Read the rate convention. Dividing a stated nominal annual yield by two fits the assumptions supplied here. If a question instead gives an effective annual yield, its equivalent half-year rate needs conversion rather than automatic division.

The issue price is $169,991.09. It comes from discounting the six $6,440 coupons and the $184,000 maturity payment at 5% per period, then rounding the resulting $169,991.089894 to cents.

OpenStax's bond-pricing explanation explains the underlying present-value approach. Our numbers and reconciliation record are original, and the example assumes issuance on a coupon date, no accrued interest, no fees and no early retirement or modification.

Compute coupon cash from face value

The first coupon equals $184,000 times 7% divided by two, giving $6,440. That contractual cash payment repeats every six months in this fixed-rate example, even as the unamortized discount changes.

Use the face amount. Multiplying $169,991.09 by 3.5% would produce $5,949.69 after rounding, but it would apply the coupon rate to the wrong base. The contract promises interest on $184,000.

Nora records the issue separately. She debits Cash $169,991.09 and Discount on Bonds Payable $14,008.91, then credits Bonds Payable $184,000. The debit discount balance reduces the net liability from face value to the issue proceeds.

This is issuer accounting. An investor's interest revenue and investment accounts would require the other side's records, so keep the borrower's account names attached to the schedule throughout your work.

Compute effective expense from the opening carrying amount

For the first six months, interest expense equals $169,991.09 times 5%, or $8,499.5545 before rounding. Our schedule records $8,499.55 and keeps every posted amount to cents using ordinary half-up rounding.

The opening balance matters. Using the closing carrying amount to calculate this period's expense would make the calculation depend on its own result. Use the amount outstanding at the beginning of the interest period.

OpenStax's effective-interest explanation describes the effective-interest relationship. In this specified discount case, expense exceeds the coupon cash payment and the difference amortizes part of the discount. The later rows repeat the method with each new opening carrying amount.

Keep the issue-date yield. A later change in market rates does not replace the supplied 5% periodic rate in this amortized-cost exercise. Fair-value measurement, variable rates and changed contractual terms would require facts beyond this example.

Make the first payment entry agree with the schedule

Subtract $6,440 cash from $8,499.55 expense to obtain $2,059.55 discount amortization. The ending carrying amount becomes $169,991.09 plus $2,059.55, or $172,050.64.

Now connect the entry. Debit Interest Expense $8,499.55, credit Cash $6,440 and credit Discount on Bonds Payable $2,059.55. Debits equal credits, and the credit reduces the discount's original debit balance.

The remaining discount is $11,949.36. Subtract it from face value. You obtain the same $172,050.64 ending carrying amount, which gives Nora a second way to check the first row without repeating the opening-balance calculation.

OpenStax's bond-entry explanation explains issuer entries for bond premiums and discounts, including the separate accounts that let Nora keep Bonds Payable at face value while amortizing the discount over six periods. That distinction prevents a correct expense calculation from being attached to the wrong account.

Carry the ending balance into the next six months

The second period opens at $172,050.64. Multiplying by 5% gives $8,602.532, recorded as $8,602.53, and subtracting the unchanged $6,440 coupon leaves $2,162.53 of discount amortization.

The next balance is $174,213.17. That amount comes from adding $2,162.53 to the second period's opening carrying amount. It also equals face value less the remaining discount of $9,786.83.

This table follows all six periods. Every amount is in dollars, and the last row includes the separately explained one-cent rounding adjustment. The ending balance there is immediately before the $184,000 principal payment.

Treat the direction as a check. This discount bond's carrying amount rises toward face value as its discount is amortized. A declining balance in these rows would suggest a sign or base error worth tracing back to the first affected period.

Explain the one-cent adjustment rather than hiding it

At the start of period six, the recorded carrying amount is $181,371.42. Five percent gives $9,068.571, which would round to $9,068.57, leaving a pre-principal carrying amount of $183,999.99.

Only one cent is missing. The exact present-value calculation and repeated cent rounding account for that difference in this dataset. To finish the illustration at face value, the final recorded expense is $9,068.58 and discount amortization is $2,628.58.

The coupon stays $6,440. This adjustment changes the final amortization and expense by one cent, rather than changing a contractual cash payment. The adjusted ending carrying amount is $184,000 immediately before principal repayment.

Rounding needs an explanation. A large unresolved difference should send you back to the terms and calculations instead of being forced into the last row. The blank record includes a separate rounding-adjustment column so a correction remains visible.

For exam work, follow the task's rounding instructions. If it asks you to retain intermediate precision, keep those digits until the requested answer. Our cents-per-period convention is explicit teaching data, not a universal CPA examination instruction.

Reconcile the total interest and the final liability

Six coupons total $38,640. Add the original $14,008.91 discount and total interest expense over the bond's life is $52,648.91, including the one-cent final adjustment.

Check the cash another way. Total contractual payments are $38,640 of coupons plus $184,000 of principal, or $222,640. Subtract the $169,991.09 proceeds to obtain the same $52,648.91 lifetime borrowing cost for this fee-free example.

Then repay principal. Debit Bonds Payable $184,000 and credit Cash $184,000 at maturity, after recording the final coupon and completing discount amortization. The liability closes to zero following that separate principal entry.

Do not add principal to interest expense. The $184,000 payment settles the liability, while the coupons and amortized discount explain the interest recognized during its life. Nora's reconciliation keeps those amounts in different columns.

Use a premium variation to check the sign

Change the fictional terms to a 10% annual coupon and a 7% nominal annual yield, still paid and compounded semiannually over three years. The six-month cash coupon becomes $9,200, and the periodic yield becomes 3.5%.

The computed issue price of $198,706.81 becomes the opening carrying amount for the premium variation, and multiplying it by the supplied 3.5% periodic yield gives first-period expense of $6,954.74 after cent rounding. Cash exceeds expense by $2,245.26.

The premium therefore decreases. Debit Interest Expense $6,954.74 and Premium on Bonds Payable $2,245.26, then credit Cash $9,200. The ending carrying amount becomes $196,461.55, moving down toward face value.

Use the comparison narrowly. Both variations use specified effective-interest accounting for simple fixed-rate debt. They establish no treatment for issuance costs, convertible features, capitalized interest or a fair-value election, and they do not decide when another method would be acceptable.

Take a reconciliation record into the next study session

Download the worked bond reconciliation (CSV) for the six-period discount schedule, including unrounded expense and the final rounding adjustment. The blank bond reconciliation (CSV) provides twelve rows with space for the periodic rate and a separate principal payment.

Keep your own record traceable. Before comparing an answer, label the face value, coupon frequency and issue-date yield convention, then show how the current row's ending balance becomes the next row's opening balance.

For more practice, use the CPA FAR Online Center to choose another FAR skill after reviewing an uncertain calculation. The hub's original practice feedback supports study and does not reproduce official scoring or predict a licensing result.

The AICPA exam-content page currently lists separate blueprints effective January 1, 2026 and January 1, 2027, so choose the document for your testing date when checking official content requirements. A 2027 preparation title does not make this original worked example an official question or published rubric.

When a row fails to reconcile, circle the first wrong input. Recompute that row with its stated period and rate before carrying the corrected balance forward, and leave the original error visible in your study notes.

2027 preparation edition. Sources checked October 11, 2026. Nora, the issuer, bond terms, schedules, entries and records are original fictional teaching material using specified effective-interest issuer accounting. Dollars are rounded half up to cents each period, with an explicit final one-cent adjustment. No issuance costs, accrued interest, early retirement, modifications, convertible features or fair-value election. This is study instruction, not a real reporting recommendation, official exam item or score prediction. Cover is conceptual art.