5.11 The Interest Method: Solution

Solution

PV (Price) = 350,000 (8.9826) + 10,000,000 (0.8203) = $11,346,910 
Year Coupon Interest Expense Amortization Balance
0 $11,346,910
1  $350,000 $226,938 ($123,062) $11,223,848
2  $350,000 $224,477 ($125,523) $11,098,325
3  $350,000 $221,967 ($128,033) $10,970,292
4  $350,000 $219,406 ($130,594) $10,839,698
5  $350,000 $216,794 ($133,206) $10,706,492
6  $350,000 $214,130 ($135,870) $10,570,622
7  $350,000 $211,412 ($138,588) $10,432,034
8  $350,000 $208,641 ($141,359) $10,290,675
9  $350,000 $205,814 ($144,186) $10,146,489
10  $350,000 $202,930 ($147,070) $10,000,000
Total $3,500,000 $2,152,509 ($1,347,491)

*This solution table has been provided by Yirmy Ertel, Class of 2021, Touro University, The Lander College for Men.

 

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Fixed Income Mathematics Copyright © 2025 by Kenneth Bigel is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.