Step-by-step explanation:
To calculate the amount of interest that Mason should capitalize, we need to first determine the weighted-average interest rate. We can do this by multiplying the interest rate of each debt by its respective outstanding balance and summing the products. Then we divide the total interest by the total outstanding debt to obtain the weighted-average interest rate.
Weighted-average interest rate for 2024:
Interest on construction loan = $3,000,000 x 10% = $300,000
Interest on $5,000,000 note = $5,000,000 x 5% = $250,000
Interest on $7,000,000 note = $7,000,000 x 8% = $560,000
Total interest = $300,000 + $250,000 + $560,000 = $1,110,000
Total outstanding debt = $3,000,000 + $5,000,000 + $7,000,000 = $15,000,000
Weighted-average interest rate = $1,110,000 ÷ $15,000,000 = 7.4%
Weighted-average interest rate for 2025:
Interest on construction loan = $3,000,000 x 10% = $300,000
Interest on $5,000,000 note = $5,000,000 x 5% = $250,000
Interest on $7,000,000 note = $7,000,000 x 8% = $560,000
Total interest = $300,000 + $250,000 + $560,000 = $1,110,000
Total outstanding debt = $3,000,000 + $5,000,000 + $7,000,000 = $15,000,000
Weighted-average interest rate = $1,110,000 ÷ $15,000,000 = 7.4%
Using the weighted-average interest rate of 7.4%, we can now calculate the amount of interest that should be capitalized each year:
Interest capitalized in 2024:
Weighted-average interest rate = 7.4%
Weighted-average amount of expenditures = (($1,080,000 x 9/12) + ($900,000 x 9/12) + ($320,000 x 6/12) + $700,000) = $2,620,000
Interest capitalized = $2,620,000 x 7.4% = $193,240
Interest capitalized in 2025:
Weighted-average interest rate = 7.4%
Weighted-average amount of expenditures = ($720,000 + $1,035,000 + ($1,800,000 x 3/12)) = $3,315,000
Interest capitalized = $3,315,000 x 7.4% = $245,460
To calculate the total cost of the building, we need to add up all the expenditures incurred during the construction period:
Total cost of building = $1,080,000 + $900,000 + $320,000 + $700,000 + $720,000 + $1,035,000 + $1,800,000 = $6,555,000
To calculate the amount of interest expense that will appear in the 2024 and 2025 income statements, we need to use the following formula:
Interest expense = Weighted-average interest rate x Total outstanding debt
Interest expense in 2024:
Interest expense = 7.4% x $15,000,000 = $1,110,000
Interest expense in 2025:
Interest expense = 7.4% x $15,000,000