Estimate the wage expense for a bank with $70 million in small business loans, $285 million in real estate loans, and $10 million in personal loans.

Managerial Accounting Homework

Cost Estimation in the Banking Industry

Cost management is particularly important in the banking industry where pricing is competitive and interest rates are set by a combination of market forces and regulatory policies. Fictitious Bank Corp, is a midsized privately owned bank operating in multiple states. The company offers a range of traditional banking services including checking and savings accounts, IRAs, home and personal loans, and small business loans.

In an effort to stay competitive in the marketplace, Fictitious’ top management has hired your team to perform an industry benchmark analysis of their different expense categories to assess their competitiveness in the market.

Data Collection*

As an industry expert in banking, you have access to data on Fictitious’ competitors. You have compiled data on the non-interest expenses of 66 competitors with total assets between 300 and 700 million dollars. This data is provided in the bankdata.xlsx file in BlackBoard and includes non-interest cost and loan data, in thousands of dollars. Data on three types of expenses were collected, with definitions of these expense provided below.

Selected Data Definitions

Total Non-Interest expense: all expenses incurred in the operation of the bank, which are not related to the interest paid on deposits and other liabilities.

Wage and Salary expense: total wages and salaries of bank employees excluding top executives. This expense includes insurance and other benefits.

Fixed Asset expense: expenses related to servicing physical assets such as rent, maintenance, and janitorial services. This number also includes depreciation on building and equipment owned.

*all data a presented in thousands of dollars

Assignment

Instructions: Please embed your answers inside the document after each question. If you are unsure about something, feel free to email me for guidance.

1. Using the data provided, estimate the following OLS regression models for each of the three different types of expenses: wage expense, fixed asset expenses, and total non-interest expenses (i.e. run three different regressions).

Expense = α + β1*R.E. Loans + β2*Pers. Loans + β3*Small Bus. Loans + ε

Answer:

(i) Wage expense

The dependent variable:

· Wage expense

The independent variable:

· R.E Loans

· Individual loan

· Small business loan

The regression output is given below.

Regression Statistics  
Multiple R 0.859084
R Square 0.738026
Adjusted R Square 0.725349
Standard Error 483.0629
Observations 66

ANOVA          
  df SS MS F Significance F
Regression 3 40757900 13585967 58.22146 0.000
Residual 62 14467688 233349.8    
Total 65 55225588      

  Coefficients Standard Error t Stat P-value
Intercept 7144.814 261.6878 27.30282 0.00
Real Estate Loans 0.004375 0.000785 5.573366 0.00
Individual Loans 0.021059 0.005606 3.756422 0.00
Small Bus Loans 0.02076 0.002124 9.775657 0.00

The OLS regression model is

Wage expense = 7144.814 + 0.004375* RE loans + 0.021059*Ind loans +0.02076*Small bus loans

(ii) fixed asset expenses

The dependent variable:

· fixed asset expenses

The independent variable:

· R.E Loans

· Individual loan

· Small business loan

The regression output is given below.

Regression Statistics  
Multiple R 0.218251
R Square 0.047633
Adjusted R Square 0.001551
Standard Error 590.9733
Observations 66

ANOVA          
  df SS MS F Significance F
Regression 3 1083017 361005.6 1.033661 0.38397
Residual 62 21653469 349249.5    
Total 65 22736485      

  Coefficients Standard Error t Stat P-value
Intercept 2355.675 320.1457 7.358134 5.15E-10
Real Estate Loans -0.00081 0.00096 -0.84418 0.401814
Individual Loans -0.0037 0.006858 -0.53911 0.591742
Small Bus Loans 0.004339 0.002598 1.670125 0.099936

The OLS regression model is

Fixed asset expense = 2355.675-0.00081* RE loans -0.0037*Ind loans +0.004339*Small bus loans

(iii) Total non interest expense

The dependent variable:

· Total non interest expense

The independent variable:

· R.E Loans

· Individual loan

· Small business loan

The regression output is given below

Regression Statistics  
Multiple R 0.40606
R Square 0.164885
Adjusted R Square 0.124476
Standard Error 2078.217
Observations 66

ANOVA          
  df SS MS F Significance F
Regression 3 52869806 17623269 4.080418 0.010402
Residual 62 2.68E+08 4318986    
Total 65 3.21E+08      

  Coefficients Standard Error t Stat P-value
Intercept 15081.44 1125.824 13.39591 5.79E-20
Real Estate Loans 0.004634 0.003377 1.372137 0.174965
Individual Loans 0.027698 0.024119 1.148406 0.255213
Small Bus Loans 0.023764 0.009136 2.601092 0.011605

The OLS regression model is

Total non interset expense = 15081.44 +0.004634* RE loans +0.027698*Ind loans +0.023764*Small bus loans

2. Interpret the coefficients and explanatory power of the models in part1. Which costs are fixed and variable? Does the size and statistical significance of these coefficients seem to match what you would think about the three different types of costs?

3. Estimate the wage expense for a bank with $70 million in small business loans, $285 million in real estate loans, and $10 million in personal loans.

4. A member of Fictitious’ board believes that Fictious’ labor costs are too high relative to the amount of loans they make. He cites a study conducted by a large accounting firm, which included data from banks such as Bank of America and Wells Fargo. Conceptually (without comparing models, etc.), discuss the validity of the board members claim.

Hint: relevant range