It is true that the amortization schedule for a bond issued at a discount rate contains a carrying value that increases over time. Hence the given statement in the question reflects a true statement.
A loan amortization schedule refers to a table that represents each periodic loan payment that is owed, generally monthly, for level-payment loans. The amortization schedule breaks down how much of each payment is specified for the interest versus the principal. The amortization schedule for a bond is issued at a discount rate and has a carrying value that increases in terms of maturity over time.
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