/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 6 If a long-term bond is issued at... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

If a long-term bond is issued at a discount, both the carrying value of the bond and the recognized interest expense will increase in each successive period during which the bond is outstanding. Explain why this occurs.

Short Answer

Expert verified
When a long-term bond is issued at a discount, the bond is sold for less than its face value. Over the bond term, the carrying value increases because the bond's unamortized discount is gradually reduced, increasing the bond's book value. At the same time, the interest expense also increases in each successive period as it includes both the contracted interest payments and the amortization of the discount over the bond's life.

Step by step solution

01

Understanding Bond Issuance

Bonds are debt instruments issued by corporations or governments to raise capital. Long-term bonds are those with maturity periods generally greater than 10 years. When a bond is issued at a discount, it means that the bond is sold for less than its face value. This typically happens when the interest rate that the bond offers to its buyers is less than the prevailing market interest rate.
02

Increasing Carrying Value

When a bond is sold at a discount, its carrying (book) value - which is the bond's face value minus any unamortized discount - is less than its face value. Over time, as the discount is amortized (that is, reduced), the carrying value of the bond gets closer to its face value. This conceptually represents the accumulation of the bond's capital repayments over time, which increases the liability on the issuer's balance sheet, i.e., carrying value increases.
03

Recognizing Interest Expense

Interest expense is the cost that the bond issuer incurs over the bond term. For bonds issued at a discount, the interest expense includes both the contractual interest payments and the discount amortized over the bond's life. As the discount is gradually amortized, the total interest expense recorded in each successive period increases. This is a result of the effective interest rate method used to allocate interest expense over the bond's life.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Carrying Value
The carrying value, also known as the book value of a bond, refers to the net amount at which the bond is reported on the issuer's balance sheet. When bonds are issued at a discount, their carrying value begins lower than their face value. Over time, this value increases. Why does this happen? As the issuer begins to repay the discount through discount amortization, the carrying value gradually approaches the bond's face value.

This process happens because the amortization of the discount essentially "spreads out" the discount amount across the life of the bond. Each payment period, a portion of the discount is added to the bond’s carrying value. Hence, the carrying value reflects not just the principal component owed by the issuer, but also the repaid portion of the initial discount.
  • This cumulative increase happens as the bond approaches maturity.
  • Over time, the carrying value rises incrementally, aligning more closely with the bond's face value.
  • This gradual increase aligns with the repayment of the initial discount.
Interest Expense
When bonds are issued at a discount, the interest expense recognized by the issuer includes more than just the periodic interest on the face value. It also incorporates a portion of the discount being amortized during each period. This means the interest expense is not fixed across periods. Instead, it rises as the bond matures.

The effective interest rate method guides this allocation of interest expense over the bond's life. In each period, a larger portion of the discount gets amortized, heightening the recognized interest expense.
  • The rising interest expense is predictable.
  • It gradually pulls the bond’s net cost closer to the face value cost over the bond's life.
  • This systematic rise aids in reflecting the true cost of borrowing over time.
Discount Amortization
Discount amortization involves the gradual reduction of the bond discount over its life. Essentially, it's the process of converting the discount component of bond issuance into regular entries of financial expense. This process is key to understanding the alignment between carrying value and interest expense.

Amortizing a discount involves increasing the bond holder’s balance sheet liability over time. This is because each period of amortization represents a slice of the initial discount converted into carried value. It also contributes to rising interest expense due to the bond’s cost correlating with carrying and real value.
  • Amortization uses the effective interest rate method to determine the discount spread over periods.
  • Each piece of amortization is a financial expense reflecting real borrowing expenses.
  • Through continuous amortization, the issuer systematically repays what was initially saved at issuance.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Describe the major differences between a bond discount and a bond premium. Discuss the distinctions between coupon (or nominal) interest rates and market interest rates at the bond issuance date.

Suppose the U.S. Congress decides to stimulate business investment in new plant and equipment by providing a reduction in income taxes equal to \(10 \%\) of the costs of eligible new investments. If a firm acquires \( 100\) million in new plant and equipment and consequently receives a \( 10\) million dollar reduction in income taxes, should the \(10\) million be interpreted (a) as income, (b) as a reduction in the cost of the acquired assets, or (c) in some other manner? Discuss.

Evaluate the following proposal:" If an asset is fully depreciated for income tax purposes, it is less valuable than an asset that as a substantial undepreciated cost for tax purposes. This implies that the valuation of assets on the balance sheet should be adjusted as their tax bases are reduced."

Wilbur Mills, Inc., began operations in \(1999 .\) The firm recognized \(12\) million of depreciation expense on its income statement and reported \(20\) million as depreciation on its tax return for \(1999 .\) The 1999 income statement shows pre-tax income of \(10\) million with an income tax rate of \(40 \%\) Determine the following amounts for 1999 a. Income tax expense. b. Income tax payable. c. Difference between the book and tax bases of Wilbur Mills'assets at year- end. d. Deferred tax liability at year-end.

Define long-term or noncurrent liabilities. What are the differences between current and noncurrent liabilities?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.