ψ
b
and
ψ
s
(
ψ
s
>
ψ
b
) (per active firm) to be active and the relationship
cost (the cost spend to maintain customers)
φ
b
and
φ
s
(
φ
s
>
φ
b
) (per client) to work with a
household. Asset managers charge a fee
f
(
W
)
for their services.
f
i
(
w
) =
φ
i
+
uw
,
(
i
=
b
,
s
)
(1)
where
φ
i
is fixed cost and u is a markup. We suppose
u
<
R
i
−
r
. In traditional asset
management equilibrium (at this equilibrium, a household gets the same welfare whether
it hires a traditional asset manager or not), we focus on a household’s decision whether to
hire an asset manager or not. We find that when
R
i
w
−
f
i
(
w
)
>
rw
, they choose to hire an
asset manager. Otherwise, they will invest by themselves. That is, when
w
>
φ
i
R
i
−
r
−
u
,
(2)
they prefer to an asset manager in different intermediaries.
Let
w
i
,0
=
φ
i
R
i
−
r
−
u
,
i
=
b
,
s
.
(3)
Then, the net profit of any intermediary is
π
i
(
M
) =
u
M
Z
∞
w
i
,0
wdG
(
w
)
.
(4)
For free and positive entry with equality,
π
(
M
) satisfies
π
i
(
M
)
≥
ψ
i
,
(5)
Therefore, the conditions in the equilibrium with positive entry are as follows.
M
i
=
u
ψ
i
Z
∞
w
i
,0
wdG
(
w
)
,
i
=
b
,
s
,
(6)
where
w
i
,0
satisfies formula (3).
Welfare can be expressed as
W
i
=
Z
w
i
,0
0
rwdG
(
w
) +
Z
∞
w
i
,0
(
R
i
−
u
)
w
−
φ
i
dG
(
w
)
,
i
=
b
,
s
.
(7)
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Now, we discuss that Robo-Advisors have access to the investment technology with
return
R
(
R
<
R
s
<
R
b
). Moreover, they have a higher fixed entry cost
ψ
>
ψ
s
>
ψ
b
but a
lower cost per client
φ
<
φ
b
<
φ
s
. To be similar to (2), when
w
=
φ
R
−
r
−
u
,
(8)
the households choose Robo-Advisors. Otherwise, they prefer to autarky. In other words,
the first participation cutoff is
w
1
=
φ
R
−
r
−
u
.
(9)
The second cutoff is between the Robo-Advisor and traditional manager in a big
intermediaries as follows:
(
R
−
u
)
w
b
,2
−
φ
= (
R
b
−
u
)
w
b
,2
−
φ
b
(10)
That is,
w
b
,2
=
φ
b
−
φ
R
b
−
R
.
(11)
Similarly, the second cutoff is between the Robo-Advisors and traditional manager in
a middle or small intermediaries
w
s
,2
=
φ
s
−
φ
R
s
−
R
.
(12)
It is not difficult to find that the condition for profitable entry by the Robo-Advisors is
w
1
<
w
2
.
Therefore, the number of Robo-Advisors is
M
0
=
u
ψ
Z
w
i
,2
w
1
wdG
(
w
)
,
i
=
b
,
s
,
(13)
and the number of traditional managers is
M
i
,1
=
u
ψ
i
Z
∞
w
i
,2
wdG
(
w
)
,
i
=
b
,
s
.
(14)
Moreover, welfare is
W
0
i
=
R
w
1
0
rwdG
(
w
) +
R
w
i
,2
w
1
((
R
−
u
)
w
−
φ
)
dG
(
w
) +
R
∞
w
i
,2
((
R
i
−
u
)
w
−
φ
i
)
dG
(
w
)
,
i
=
b
,
s
.
(15)
If Robo-Advisors entry is profitable, i.e.,
W
1
<
W
i
,2
, it means some poor households
can get asset management services. That is, more people can get asset management services
in the Fintech equilibrium (it means household has the same welfare when facing investing
by himself and choosing the robot advisors) than in the traditional equilibrium (which
means household who is on this situation has the same welfare no matter he chose to invest
by himself or chose the traditional invest advisors).
When
w
1
<
w
i
,0
i.e.,
(
φ
i
−
φ
)(
r
+
u
) +
φ
R
i
<
φ
i
R
, Robo-Advisors improves access to
asset management services. Robo-Advisors compete with the traditional advisors.
In other words, Fintech brings the traditional intermediaries competitive shocks. How
big is the competitive shocks? Will the size of the competitive shock vary with the size of
the intermediary? For discuss these problems, we introduce two indexes to measure the
competitive shocks as follows.
Definition 1.
Num is defined
Num
=
the number o f Robo
−
Advisors
the number o f traditional managers
(16)
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The bigger the index is, Num, the bigger the competitive shock is, since the bigger Num means
Robo-Advisors are more relative to the traditional advisors.
Definition 2.
Pro is defined
pro
=
the total net pro f it o f the intermediary with Robot
−
Adivisor
the total net pro f it o f traditional intermediary
(17)
The bigger the index is, Pro, the bigger the competitive shock is, since the bigger Pro means the
intermediary Robo-Advisors get more net profit relative to the traditional advisors. By the above
indices, we compare the competitive shock for the big intermediary with one for the middle or small
intermediary. Then, we can the key results as follows.
Proposition 1.
pro
b
=
R
w
b
,2
w
1
uwdG
(
w
)
R
∞
w
b
,2
uwdG
(
w
)
<
pro
s
=
R
w
s
,2
w
1
uwdG
(
w
)
R
∞
w
s
,2
uwdG
(
w
)
.
(18)
That is, the competitive shock for the big intermediary is less than one for the middle or small
intermediary.
Proof.
With (18) and (12),
R
b
>
R
s
and
φ
b
<
φ
s
, one attains that
w
b
,2
=
φ
b
−
φ
R
b
−
R
<
w
s
,2
=
φ
s
−
φ
R
s
−
R
.
(19)
Therefore,
pro
b
=
R
w
b
,2
w
1
uwdG
(
w
)
R
∞
w
b
,2
uwdG
(
w
)
<
R
w
s
,2
w
1
uwdG
(
w
)
R
∞
w
b
,2
uwdG
(
w
)
<
R
w
s
,2
w
1
uwdG
(
w
)
R
∞
w
s
,2
uwdG
(
w
)
=
pro
s
.
(20)
Proposition 2.
Num
b
=
u
ψ
R
w
b
,2
w
1
uwdG
(
w
)
u
ψ
i
R
∞
w
b
,2
uwdG
(
w
)
<
Num
s
=
u
ψ
R
w
s
,2
w
1
uwdG
(
w
)
u
ψ
i
R
∞
w
s
,2
uwdG
(
w
)
.
(21)
The results show that the competitive shock of small and medium-sized intermediaries is bigger
than that of large-scale intermediaries.
Noticing (2.19), it is easy to find that
Num
b
=
ψ
b
ψ
R
wb
,2
w
1
uwdG
(
w
)
R
∞
wb
,2
uwdG
(
w
)
<
ψ
b
ψ
R
ws
,2
w
1
uwdG
(
w
)
R
∞
wb
,2
uwdG
(
w
)
<
ψ
b
ψ
R
ws
,2
w
1
uwdG
(
w
)
R
∞
ws
,2
uwdG
(
w
)
<
ψ
s
ψ
R
ws
,2
w
1
uwdG
(
w
)
R
∞
ws
,2
uwdG
(
w
)
=
u
ψ
R
ws
,2
w
1
uwdG
(
w
)
u
ψ
i
R
∞
ws
,2
uwdG
(
w
)
=
Num
s
.
(22)
The result also proof that the competitive shock for big intermediary is less than one for
the middle or small intermediary from the view of quantity shock.
In summary, since banks account for a large share of the traditional investment
advisory market, when Robo-Advisors enter the traditional investment advisory market as
a product of Fintech development level, they will have a crowding out effect on the market
share of traditional intermediary asset businesses. In the beginning, when Robo-Advisors
have not entered the traditional investment advisory market, we can see from formula (4)
that families only face two investment choices. Then when the robot investment adviser
joins, its lower customer relationship cost (
φ
<
φ
b
<
φ
s
) enables more families to benefit
from the robot investment adviser service. Moreover, the Formula (15) shows that Fintech
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has a crowding-out effect on traditional bank investment advisors, seizing part of the
market profits, and having a competitive impact on traditional intermediaries in terms
of market share. From “Definition 1”, we further established an index to measure the
intensity of competition. Comparative analysis shows that, compared with larger-scale
intermediaries, smaller-scale intermediaries are more subject to the competitive impact of
financial technology, which limits the risk-taking behavior of banks. Please see Appendix
B
for the symbols and their meanings.
3.3. Research Hypotheses
Based on previous research literature and the above theoretical analysis, this article
proposes several research hypotheses to be verified:
Hypothesis 1.
The development of Fintech affects the risk behavior of banking groups, and has a
greater impact on small and medium banks.
Large banks have sufficient financial resources, strong technical strength and large
customer groups, and they are more inclined to build their own teams, conduct independent
research and development. Moreover, they are more likely to cooperate with the companies
in the field of digital technology (like GAFA and BATX). Therefore, large banks are more
actively developing Fintech from debt business, intermediary business, and asset business
and realizing digital transformation. Large Banks are also likely to be subject to stricter
supervision and their risk behaviors are more cautious (
Beltratti and Stulz 2009
). In
addition, in China, the customer groups of large banks are mostly relatively high-quality
large enterprises or state-owned enterprises, and they are more likely to receive implicit
government guarantees, while small and medium-sized banks are mostly targeted at SMEs.
As a result, Fintech has a bigger impact on smaller Banks than big ones.
Hypothesis 2.
Fintech affects the bank’s risk-taking by affecting the internal interest income and
management costs of the bank.
The rapid development of Fintech has two aspects on banks’ risk-taking behavior. On
the one hand, Fintech gradually penetrates into the business areas of traditional banks.
The increase of Banks’ capital cost, the weakening of their loan pricing ability and the
acceleration of the frequency of interest rate fluctuations lead to the narrowing of the
most traditional and major income source of banks’ deposit and loan spreads. All of these
affect the banks’ operational stability. Compared with large banks and online banks, small
and medium-sized banks have higher capital costs and a faster decline in net interest
margin, which in turn increases the bank’s risk-taking. On the other hand, the spread of
new technologies to banks will help improve efficiency and optimize governance, thereby
reducing management costs. For example, big data technology can effectively process the
bulk transaction data of traditional banks. Enable the bank to achieve precise marketing,
low cost and centralized management. Moreover, it also can more effectively optimize
the credit process, identify credit risks, standardize the behavior of senior executives,
and reduce the risk-taking level of banks. The development of financial technology has
promoted the transformation and upgrading of traditional banks to digitization, which has
an impact on bank management capability and the operation stability of commercial banks.
Considering the effects of both aspects, the impact of new technologies on bank risk-taking
is uncertain and depends on the relative strength of the two effects (
Gu and Yang 2018
).
Hypothesis 3.
Fintech influences Banks’ risk-taking by influencing market competition and
residents’ willingness to save.
On the one hand, Fintech promotes the marketization of interest rates in China and
intensifies competition in the banking market. Moreover, the market space of banks will be
greatly suppressed. China’s banking industry has experienced severe financial repression
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for a long time (
Wang and Johansson 2013
). It may not only reduce the bank franchise values
through competition, thereby incentivizing them to take more risks (
Allen and Gale 2000
),
but also may break the monopoly of large banks and new technologies through competition,
and improve bank efficiency through technology spillover effects (
Shen and Pin 2015
).
Meanwhile, Fintech has promoted the phenomenon of ‘financial disintermediation’, which
means that with the development of direct financing, the supply of funds bypasses the
intermediary system of commercial banks through some new institutions or new means,
and is directly transported to the demand unit. Take Yu’eBao, launched by Alibaba, as
an example. Its interest rate is significantly higher than the interest rate of commercial
bank demand deposits, and even higher than the interest rate of commercial bank fixed
deposits. At the same time, Yu’eBao also supports T + 0 deposit and withdrawal. The
appearance of such internet financial products is obviously more attractive to customers
than the traditional deposit products of commercial banks, and therefore may have an
impact on residents’ willingness to save. To meet the challenge, banks will also attract
savings back by raising deposit rates, but this will increase the cost of bank funds. As
mentioned above, the impact of new technologies on banks’ risk-taking behavior depends
on the relative strength of the two forces.
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