Chapter 10, Problem 10.10P

1.

To determine

Interest Capitalization:

Interest capitalization refers to the interest amount that is added to the cost of the long-term asset. Such interest capitalization amount includes the interest amount of the debt which was financed for acquiring the asset.

To Calculate: The amount of interest that Company M should capitalize in the year 2018 and 2019 using the weighted average method.

Explanation of Solution

Calculate the amount of interest that Company M should capitalize in the year 2018 using the weighted average method.

Determine the average accumulated expenditures.

Month	Construction Expenditure ($)		Interest Outstanding (Number of months)		Accumulated Expenditure ($)
January 1, 2018	100,000	$\times$	$\frac{12}{12}$	=	1,000,000
March 1, 2018	600,000	$\times$	$\frac{10}{12}$	=	500,000
June 30, 2018	800,000	$\times$	$\frac{6}{12}$	=	400,000
October 1, 2018	600,000		$\frac{3}{12}$	=	150,000
Accumulated expenditures (before interest)	$3,000,000
			Average accumulated expenditures		$2,050,000

Table (1)

Determine the weighted average rate of all other interest-bearing debts.

	Amount ($)		Interest rate		Interest Amount ($)
Accumulated expenditures	$3,000,000	$\times$	10%	=	300,000
Long-term note 6%	$4,000,000		6%		240,000
Long-term note 8%	$6,000,000	$\times$	8%	=	480,000
Total	$13,000,000				1,020,000

Table (2)

Working Note:

Determine the weighted-average interest rate.

$\begin{array}{c}\text{Weighted average =}\frac{\text{Interest amount}}{\text{Amount}}\times 100\\ =\frac{\text{\$1,020,000}}{\$13,000,000}\times 100\\ =7.85\%\left(\text{Rounded}\right)\end{array}$

Determine the capitalized interest.

$\begin{array}{c}\text{Capitalized}\text{interest = }\left(\begin{array}{l}\text{Accumulated expenditure }\\ \times \text{ Interest rate }\end{array}\right)\\ =\$2,050,000\times \frac{7.85}{100}\\ =\$160,925\end{array}$

Calculate the amount of interest capitalized in the year 2019.

Determine the average accumulated expenditures.

Month	Construction Expenditure		Interest Outstanding		Accumulated Expenditure
January 1, 2019	3,160,925	$\times$	$\frac{9}{9}$	=	3,160,925
January 31, 2019	270,000	$\times$	$\frac{8}{9}$	=	240,000
April 30, 2019	585,000	$\times$	$\frac{5}{9}$	=	325,000
August 31, 2019	900,000	$\times$	$\frac{1}{9}$	=	100,000
Accumulated expenditures (before interest)	4,915,925
			Average accumulated expenditure		3,825,925

Table (3)

Determine the weighted average rate of all other debt.

	Amount ($)		Interest rate		Interest Amount ($)
Expenditure	$3,000,000	$\times$	10%	=	300,000
Long-term note 6%	$4,000,000		6%		240,000
Long-term note 8%	$6,000,000	$\times$	8%	=	480,000
Total	$13,000,000				1,020,000

Table (4)

Working Note:

Determine the weighted-average interest rate.

$\begin{array}{c}\text{Weighted average =}\frac{\text{Interest amount}}{\text{Amount}}\times 100\\ \text{=}\frac{\text{\$1,020,000}}{\$13,000,000}\times 100\\ =7.85\%\left(\text{Rounded}\right)\end{array}$

Determine the capitalized interest.

$\begin{array}{c}\text{Capitalized}\text{interest = }\left(\begin{array}{l}\text{Accumulated expenditure }\\ \times \text{ Interest rate }\\ \times \frac{\text{Number of months of construction}}{\text{12}}\end{array}\right)\\ =\$3,825,925\times \frac{7.85}{100}\times \frac{9}{12}\\ =\$225,251\end{array}$

Conclusion

Thus, the amount of interest capitalized in the year 2018 and 2019 is $160,925 and $225,251 respectively.

2.

To determine

The cost of the building.

Explanation of Solution

Determine the total cost of the building.

Particulars	Amount ($)
Accumulated expenditure before interest capitalization as on September 30, 2019	4,915,925
Add:  Interest capitalization as on 2019	225,251
Total cost of building	5,141,176

Table (5)

Conclusion

Hence, the total cost of the building is the total cost of the building is $5,141,176.

3.

To determine

To Calculate: The amount of interest expense that will appear in the 2018 and 2019 income statements.

Explanation of Solution

	2018	2019
	Amount ($)	Amount ($)
$\$3,000,000\times 10\%$	300,000	300,000
$\$4,000,000\times 6\%$	240,000	240,000
$\$6,000,000\times 8\%$	480,000	480,000
Total interest capitalized	1,020,000	1,020,000
Less: Interest capitalized	(160,925)	(225,251)
Interest expense	859,075	794,749

Table (6)

Conclusion

Hence, the amount of interest expense that will appear in the income statement for the years 2018 and 2019 are $859,075 and $794,749 respectively.