Amortization Table for Titan Branch Inc.’s 5% Bonds Over the First Three Years

Introduction

Titan Branch Inc., a prominent entity in the corporate sector, issued $700,000 worth of 5% bonds with a maturity period of 10 years when the prevailing market interest rate was 4%. The company successfully raised funds amounting to $757,243 through this bond issuance. The bonds’ interest is paid semi-annually, making the calculation of an amortization table essential to provide insights into the gradual reduction of the bond’s liability and the corresponding interest payments.

Amortization Table

An amortization table illustrates how the principal and interest payments for a bond evolve over its term, allowing stakeholders to visualize the financial implications of the bond issuance. Let’s delve into Titan Branch Inc.’s amortization table for the first three years:

Year 1

In the first year, the bond’s principal amount remains constant at $700,000. The semi-annual interest payment is calculated by applying the coupon rate (5%) to the principal. However, the interest rate in the market is 4%, leading to a difference between the coupon rate and the market rate. This difference affects the interest expense and subsequently the amortization of the bond.

Beginning Principal: $700,000

Coupon Rate: 5%

Market Rate: 4%

Semi-Annual Interest Payment: $700,000 * 5% / 2 = $17,500

Difference: $17,500 – ($700,000 * 4% / 2) = $3,500 (This difference contributes to amortization)

Thus, the amortization of the bond’s principal for the first year is $3,500, and the remaining principal at the end of the first year is $700,000 – $3,500 = $696,500.

Year 2

In the second year, the bond’s principal is reduced to $696,500 due to the previous year’s amortization. The semi-annual interest payment is recalculated based on this reduced principal.

Beginning Principal: $696,500

Coupon Rate: 5%

Market Rate: 4%

Semi-Annual Interest Payment: $696,500 * 5% / 2 = $17,412.50

Difference: $17,412.50 – ($696,500 * 4% / 2) = $3,512.50 (Amortization)

The amortization of the bond’s principal for the second year is $3,512.50, and the remaining principal at the end of the second year is $696,500 – $3,512.50 = $692,987.50.

Year 3

In the third year, the process continues with a further reduction in principal and recalculated interest payments.

Beginning Principal: $692,987.50

Coupon Rate: 5%

Market Rate: 4%

Semi-Annual Interest Payment: $692,987.50 * 5% / 2 = $17,324.69

Difference: $17,324.69 – ($692,987.50 * 4% / 2) = $3,524.69 (Amortization)

The amortization of the bond’s principal for the third year is $3,524.69, and the remaining principal at the end of the third year is $692,987.50 – $3,524.69 = $689,462.81.

Conclusion

The presented amortization table for Titan Branch Inc.’s 5% bonds over the first three years showcases the systematic reduction of the bond’s principal due to the interplay between the coupon rate and the prevailing market rate. As the principal decreases, the interest payments also diminish, contributing to a gradual decrease in the company’s liability. This table not only aids in financial planning but also offers a clearer understanding of the bond’s financial impact on Titan Branch Inc. and its stakeholders.