recent developments in high frequency financial ... - Index of

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Table 3 Simulation of the base-line VEC model for the entire sample
Absolute IRF×100
Buy/ask vs. buy/bid Ask Bid Ask-bid t-test
NYSE 1996 Mean 0.9749 0.1042 0.8707*
Std. (0.3889) (0.0964) (0.3241)
NYSE 2000 Mean 1.0570 0.2129 0.8441*
Std. (0.8160) (0.2195) (0.6900)
SSE 2000 Mean 0.3643 0.1239 0.2404*
Std. (0.4103) (0.1644) (0.2518)
Total Mean 0.7987 0.1470 0.6517*
Std. (0.6375) (0.1695) (0.5374)
Sell/ask vs. sell/bid Bid Ask Bid-ask
NYSE 1996 Mean 0.8844 0.1024 0.7821*
Std. (0.3028) (0.1102) (0.2147)
NYSE 2000 Mean 1.0043 0.3447 0.6596*
Std. (0.7174) (0.3187) (0.4584)
SSE 2000 Mean 0.3021 0.1026 0.1994*
Std. (0.2695) (0.1002) (0.1705)
Total Mean 0.7303 0.1832 0.5470*
Std. (0.5560) (0.2283) (0.3925)
Buy/ask vs. sell/bid Buy/ask Sell/bid Difference
NYSE 1996 Mean 0.9749 0.8844 0.0905**
Std. (0.3889) (0.3028) (0.1585)
NYSE 2000 Mean 1.0570 1.0043 0.0528***
Std. (0.8160) (0.7174) (0.1193)
SSE 2000 Mean 0.3643 0.3021 0.0622
Std. (0.4103) (0.2695) (0.1719)
Total Mean 0.8445 0.7935 0.0510**
Std. (0.6277) (0.5513) (0.1200)
This table reports statistical tests on the average impulse–response functions (IRFs) of the VEC model
0
1
1 0 AaB AaB at
B 0 1 AbB AbS C bt
B
C
@ 0 0 1 0 A ex
0 0 0 1
B t
ex S 0 1
B C
B C
@ A
t
¼
EC
a L ð Þ
EC
b L
0 1
at 1
B ð ÞC
bt B C
1
st @
BðLÞ A 1 þ AL ð Þ
ex
SðLÞ B t 1
ex S 0 1
B C
B C
@ A
t 1
þ
ua t
ub t
uB t
uS 0 1
B C
B C
@ A
0
1t
AaaðLÞ 0 AaBðLÞ AaSðLÞ B 0 AbbðLÞ AbBðLÞ AbSðLÞ C
with the restrictions, AL ð Þ ¼ B
C
@ ABaðLÞ 0 ABBðLÞ ABSðLÞA 0 ASbðLÞ ASBðLÞ ASSðLÞ We compare (a) the impact of a unitary buyer-initiated shock on the ask and bid quotes; (b) the
impact of unitary seller-initiated shock on the ask and bid quotes, and (c) the impact of a unitary
buyer-initiated shock on the ask quote with the impact of a unitary seller-initiated shock on the bid
quote. We use data on 11 NYSE-listed stocks from January to March 1996, 11 NYSE-listed
stocks from January to March 2000, and 11 SSE stocks from July to September 2000. We report
statistical tests of the null of equality of the absolute IRFs against the alternative of a positive
difference. The error-correction term is the bid-ask spread. Δat (Δbt) is the change in the ask (bid)
ð Þ and
quote between two consecutive trades. The trade-size indicators are ex B t ¼ xBt log Vt
ex S t ¼ xS t log Vt
ð Þ, where Vt is the trade size in number of shares, and xt B (xt S ) equals 1 for buys
(sells) and zero otherwise. For midpoint trades both variables equal zero
*Statistically greater than zero at the 1% level
**Statistically greater than zero at the 5% level
***Statistically greater than zero at the 10% level
A. Escribano and R. Pascual