2. Exercise 9.2 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. C 3.41 (3.41) 0.007384Q (2.84) 0.000005359Q2 (3.16) 23.0X1 (3.23) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X₁ = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Holding constant the effects of bank branching (X1), what is the level of total assets that minimizes the average operating expense ratio? $1,557.42 million O $688.93 million $461.81 million $1,377.87 million What is the average operating expense ratio for a savings and loan association with the level of total assets determined in the previous part and 1 branch? 1.18% 0.90% 4.94% 3.44% What is the ratio with 10 branches instead? 1.20% ○ 1.48% O 3.74% 5.24%

EBK HEALTH ECONOMICS AND POLICY
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ISBN:9781337668279
Author:Henderson
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Chapter4: Economic Evaluation In Health Care
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2. Exercise 9.2
A study of 86 savings and loan associations in six northwestern states yielded the following cost function.
C
3.41
(3.41)
0.007384Q
(2.84)
0.000005359Q2
(3.16)
23.0X1
(3.23)
where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($
million) times 100 percent.
Q = output; measured by total assets ($ million)
X₁ = ratio of the number of branches to total assets ($ million)
Note: The number in parentheses below each coefficient is its respective t-statistic.
Holding constant the effects of bank branching (X1), what is the level of total assets that minimizes the average operating expense ratio?
$1,557.42 million
O $688.93 million
$461.81 million
$1,377.87 million
What is the average operating expense ratio for a savings and loan association with the level of total assets determined in the previous part and 1
branch?
1.18%
0.90%
4.94%
3.44%
What is the ratio with 10 branches instead?
1.20%
○ 1.48%
O 3.74%
5.24%
Transcribed Image Text:2. Exercise 9.2 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. C 3.41 (3.41) 0.007384Q (2.84) 0.000005359Q2 (3.16) 23.0X1 (3.23) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X₁ = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Holding constant the effects of bank branching (X1), what is the level of total assets that minimizes the average operating expense ratio? $1,557.42 million O $688.93 million $461.81 million $1,377.87 million What is the average operating expense ratio for a savings and loan association with the level of total assets determined in the previous part and 1 branch? 1.18% 0.90% 4.94% 3.44% What is the ratio with 10 branches instead? 1.20% ○ 1.48% O 3.74% 5.24%
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