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Alex_Xolod [135]
2 years ago
5

Mike Village sold $1,000,000 of general obligation bonds on October 1, 2018, maturing at the rate of $100,000 every 6 months sta

rting April 1, 2019, and paying interest at the rate of 4 percent per annum on the unpaid balance. Compute (a) the interest expenditure Mike will report in its governmental fund statement of revenues, expenditures, and changes in fund balances for the calendar years ended December 31, 2018 and December 31, 2019 and (b) the interest expense Mike will report in its government-wide statement of activities for the same calendar years. Also, (c) prepare journal entries needed to adjust Mike’s 2019 fund financial statements so government-wide statements can be prepared.
Business
1 answer:
Bad White [126]2 years ago
6 0

Answer:

Accrued expense means the expense which has been incurred and recorded in the financial statement during the accounting period but payment for the same has not been made.

Stub period means the period in which the interest due on the bonds is not equivalent to interest as per interest cycle .

Explanation:

Part A)

No interest is matured during 2018 and hence, no expense will be    recorded in fund statement of revenue, expenditures, and changes in fund balances for the year 2018.

Compute interest for the year ended on December 31, 2019:  

By adding the interest due on $1,000,000 principal at the rate of 4% for six months and interest due on $900,000 principal at the rate of 4% for six months, the total expenditure can be calculated as follows:

Interest expenditure = ($1, 000, 000 x 4% x 0.5) + ($900,000 x 4% x 0.5)

= $20, 000 + $18, 000  

= $38, 000  

$20,000 represents interest on $1,000,000 for half the year and $18,000 represents interest on amount computed after deducting first maturity of $100,000, computed for half of the year.  

Hence, for the year ending December 31, 2019 M will report 1$38,000 as interest expenditure in  

Its fund statement of revenues, expenditure and changes in fund balance.

Part B)

Compute interest expenditure that M will report in its government-wide statement of activities for the year ended December 31, 2018 and 2019:

For the year ended December 31, 2018

Interest due on the principal of $1,000,000 at the rate of 4% for three months:

Interest expenditure = [$1,000,000 x 4% x 0.25]

= $10,000

Hence, for the year ending December 31, 2018 M will report 10,000 as interest expenditure in its wide statement of activities.

For the year ended December 31, 2019:

By adding the interest due on $1,000,000 principal at the rate of 4% for three months and interest due on $900,000 principal at the rate of 4% for six months, the total expenditure can be calculated as follows:

Interest expenditure = [($1,000,000 x 4% x 0.25) + ($900,000 x 4% x 0.5) + ($800,000 x 4% x0.25)]

= $10,000 + $18000 + $8,000

= $36,000

$900,000 is computed by reducing the first maturity of $100,000 due on April 1, 2019 and $800,000 is computed by reducing the second maturity of $100,000 due on September 30, 2019.

$10,000 is computed for the period January 1, 2019 to March 30, 2019 and $18,000 is computed for 6 months period from April 1, 2019 to September 30, 2019. $8000 is computed for the period October 01, 2019 to December 31, 2019.

Hence, for the year ending December 31, 2019 M will report 36,000 as interest expenditure in its government-wide statement of activities.

Part C)

Prepare journal entries required to adjust fund financial statements so that government-wide statements:

Date Account Title                               Debit               Credit

               Net Position                                   10000

                   Accrued interest payable                                 10000

        Accrued interest payable            2000

                   Interest expense                                                 2000

 

Accrued interest payable is a liability account having a credit balance, to record increase in interest payable, its account is credited. Interest payable for the period October 31 to December 31, 2018 increases the balance of accrued interest payable balance and hence, its account is credited with $10,000.

Interest expense is an expense account with debit nature balance, to record decrease in expense, its account is credited. Hence, to record the net effect of interest payable computed as the difference between balance of $10,000 outstanding at the end of 2018 and $8,000 outstanding at the end of 2019, the interest expense is credited.

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Answer:

a. The regression equation required is Y = 915.18 – 0.2819X.

b. b-1. Correlation coefficient (r) = –0.9423

b-2. Coefficient of determination = r^2 = 88.80%

b-3. The negative correlation coefficient of -0.9423 implies that increase in X mostly causes a decrease in Y. The coefficient of determination implies that 88.80% variation in Y is explained by X.

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Explanation:

Note: See the attached excel file for the calculation of Mean of X and Y and other values.

a. Develop a regression equation to forecast the cost per gallon as a function of the number of gallons produced.

The regression can be written as follows:

Y = bo + b1X ………………… (1)

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b0 = Mean of Y – (b1 * Mean of X) = 1,018.20 - (365.44 * 0.2819) = 915.18

Substituting b) and b1 values into equation (1), regression equation to forecast the cost per gallon as a function of the number of gallons produced can be written as follows:

Y = 915.18 – 0.2819X ……………………….. (2)

Equation (2) is the regression equation required.

b. What are the correlation coefficient and the coefficient of determination? Comment on your regression equation in light of these measures.

b-1. Correlation coefficient (r) can be calculated using the following formula:

r = (Sum of (Y - Mean of Y) * (X - Mean of X)) / ((Sum of (Y - Mean of Y)^2) * (Sum of (X - Mean of X)^2))^0.5 = –34,273.08 / (10,879.60 * 121,585.14)^0.5 = –0.9423

b-2. Coefficient of determination = r^2 = –0.94^2 = 0.8880, or 88.80%

b-3. The negative correlation coefficient of -0.9423 implies that increase in X mostly causes a decrease in Y. The coefficient of determination implies that 88.80% variation in Y is explained by X.

c. Suppose that the market survey indicates a demand of 325,000 gallons in the Bucyrus Ohio, area. Estimate the manufacturing cost per gallon for a plant producing 325,000 gallons per year.

Since X and Y are in thousands, 325,000 gallons implies we have:

X = 325

Substitute X = 325 into equation (2), we have:

Y = 915.18 - (0.2819 * 325)

Expressing in full form, we have:

Y = $823

Therefore, the manufacturing cost per gallon is $823.56.

Download xlsx
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