What is the unconditional expected value of Y. That is, E[Y] not E[Y|Y>0]. You can assume both Union and Direct participant is on.

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Question: We need conditional expected value Y as per pic 5.7.1.

 

Note: We need only value, not theory(text), please.

 

Using data from IRS Form 5500 filings by U.S. pension plans, I estimated a model of contributions to pension plans as
In(1+c j)=a 0+U j*a 1+ PD j*a 2+ e j
Where the subscript i indicates the pension plan, c is employer contributions per participant, U is a dummy that
equals one if the plan is a union plan, and PD is a dummy that equals if the plan is participant directed (meaning that
the employee decides how to invest the money). Note that employer contributions can equal zero, since some
pension plans are funded entirely by employee contributions.
I estimated a Tobit and OLS version of the model. The results are below. Sigma represents the standard deviation of
the residual. Standard error of coefficients is presented in parentheses below each coefficient.
Variable
OLS
Tobit
Union
-0.0626***
-0.0676***
(0.012)
(0.014)
Participant Directed
-0.307***
-0.311***
(0.007)
(0.008)
Constant
5.894***
5.684***
(0.006)
(0.007)
Sigma
2.7434
3.226***
Observations
744615
744615
What is the unconditional expected value of Y. That is, E[Y] not E[Y|Y>0]. You can assume both Union and Direct
participant is on.
Transcribed Image Text:Using data from IRS Form 5500 filings by U.S. pension plans, I estimated a model of contributions to pension plans as In(1+c j)=a 0+U j*a 1+ PD j*a 2+ e j Where the subscript i indicates the pension plan, c is employer contributions per participant, U is a dummy that equals one if the plan is a union plan, and PD is a dummy that equals if the plan is participant directed (meaning that the employee decides how to invest the money). Note that employer contributions can equal zero, since some pension plans are funded entirely by employee contributions. I estimated a Tobit and OLS version of the model. The results are below. Sigma represents the standard deviation of the residual. Standard error of coefficients is presented in parentheses below each coefficient. Variable OLS Tobit Union -0.0626*** -0.0676*** (0.012) (0.014) Participant Directed -0.307*** -0.311*** (0.007) (0.008) Constant 5.894*** 5.684*** (0.006) (0.007) Sigma 2.7434 3.226*** Observations 744615 744615 What is the unconditional expected value of Y. That is, E[Y] not E[Y|Y>0]. You can assume both Union and Direct participant is on.
What is the unconditional expected value of Y. That is, E[Y] not E[Y|Y>0]. You can assume both Union and Direct
participant is on.
Transcribed Image Text:What is the unconditional expected value of Y. That is, E[Y] not E[Y|Y>0]. You can assume both Union and Direct participant is on.
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