Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

$17,407,069. $17,317,990. $17,233,953. $19,307,069. Discount-Mart issues $19 mil

ID: 2468226 • Letter: #

Question

$17,407,069.

$17,317,990.

$17,233,953.

$19,307,069.

Discount-Mart issues $19 million in bonds on January 1, 2012. They have a eight-year term and pay interest semiannually. This is the partial bond amortization schedule for the bonds. Date Cash Paid Interest Expense Increase in Carrying Value Carrying Value 1/1/12 $17,079,880 6/30/12 $950,000 $1,024,793 $74,793 17,154,673 12/31/12 950,000 1,029,280 79,280 17,233,953 6/30/13 950,000 1,034,037 84,037 17,317,990 12/31/13 950,000 What is the carrying value of the bonds as of December 31, 2013?

Explanation / Answer

Market Interest Rate ( Half Yearly) = Interest Expenses/Beginning Carrying Value

Market Interest Rate ( Half Yearly) = 1024793/17079880

Market Interest Rate ( Half Yearly) = 6%

Interest Expenses on December 31, 2013 = Market Interest Rate * Carrying Value on 6/30/13

Interest Expenses on December 31, 2013 = 6%*17,317,990

Interest Expenses on December 31, 2013 = 1039079

Increase in Carrying Value = Interest Expenses on December 31, 2013 - Interest Paid on December 31, 2013

Increase in Carrying Value = 1039079 - 950000

Increase in Carrying Value = 89079

Carrying value of the bonds as of December 31, 2013 = Carrying Value on 6/30/13 + Increase in Carrying Value

Carrying value of the bonds as of December 31, 2013 = 17,317,990+89079

Carrying value of the bonds as of December 31, 2013 = 17,407,069

Answer

17,407,069

Date Cash Paid Interest Expense Increase in Carrying Value Carrying Value 1/1/12          17,079,880 6/30/12            950,000                    1,024,793                                          74,793          17,154,673 12/31/12            950,000                    1,029,280                                          79,280          17,233,953 6/30/13            950,000                    1,034,037                                          84,037          17,317,990 12/31/13            950,000                    1,039,079                                          89,079          17,407,069