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3 Issuing costs of state guaranteed bonds - Financial Risk and ...

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Annex 3 Analysis <strong>of</strong> missing issuing cost data<br />

However, a comparison <strong>of</strong> means shows that smaller, more risky banks were no more or less likely<br />

to have their <strong>bonds</strong> included in or excluded from the analysis due to issuance volume. The results<br />

<strong>of</strong> this test are shown in Table 38. Although the mean issuance volume is smaller for smaller than<br />

larger banks (as one may expect), the difference is not statistically significant.<br />

Table 38: Differences in issuance volume between large <strong>and</strong> small banks<br />

Excluded<br />

<strong>bonds</strong><br />

154<br />

N 1 N 2 1 2 1- 2 t-stat SE<br />

27 95 2316 2425 -109 -0.379 288<br />

Included<br />

<strong>bonds</strong><br />

41 41 3195 3204 -8.98 -0.28 32.5<br />

-stat (outcome <strong>of</strong> t-test for continuous variables based on meancomparison<br />

tests), SE (st<strong>and</strong>ard error), subscript 1 indicates statistic relates to smaller-more risky banks <strong>and</strong> subscript 2 indicates<br />

statistic relates to larger-less risky banks<br />

A3.2.3 Imputing missing issuing cost data<br />

Finally, Table 39 presents the results <strong>of</strong> re-estimating the main issuing cost model with imputed<br />

data.<br />

Missing issuing cost data was replaced with imputed issuing cost data. This was achieved through a<br />

stochastic process <strong>of</strong> matching <strong>bonds</strong> for which issuing cost data was missing with <strong>bonds</strong> for which<br />

issuing cost data was present on the basis <strong>of</strong> observable bond characteristics, which was repeated<br />

multiple times to test for the sensitivity <strong>of</strong> the matching process. Formally, OLS regression was<br />

used to impute the data <strong>and</strong> 10 iterations were undertaken.<br />

Table 39 presents the results <strong>of</strong> averaging over the multiple imputations <strong>and</strong> shows that the main<br />

effect <strong>of</strong> <strong>state</strong> guarantees on issuing <strong>costs</strong> is robust to the use <strong>of</strong> imputed data.

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