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We provide a simple model to explain the empirical findings on the effect of FDI on domestic job creation and destruction. The base model is a search-and-matching model with heterogeneous jobs developed by Wasmer (1999). Firms have two types of jobs in domestic activities: skilled and unskilled. We assume that an exogenous increase in FDI raises labor demand in a way that makes the separation (or destruction) of both types of domestic jobs less likely.16 The expansion of foreign activities requires the support of headquarters and home branches through administration, customization, production for exports, and so forth. How much demand for a skilled job increases relative to the other, however, depends on the destination of FDI. This differential impact of FDI on demand for heterogeneous jobs is the key to our theoretical mechanism. Here, we provide a sketch of the model and relegate derivations to the Theory Appendix.

Overview of a search-and-matching model with two types of jobs

The economy consists of a continuum of risk-neutral, infinitely lived workers of size 𝐿 and a continuum of risk-neutral, infinitely lived firms of size one. The representative firm produces output π‘Œ from capital stock 𝐾 and employment 𝑁. The production function, π‘Œ = 𝐺(𝐾, 𝑁), is specified as a constant-returns-to-scale for both factors.17 The employment 𝑁 consists of two types of workers: 𝑁 = π‘β„Ž+ 𝑁𝑙 , where 𝑁𝑗 is the mass of type-𝑗 ∈ {β„Ž, 𝑙} workers. The firm posts 𝑉𝑗 of vacancies for 𝑗 job type at a cost 𝑐𝑗. The matching process between firms and workers is costly in that unemployed workers and vacancies meet each other randomly. The existing match of type 𝑗 job breaks with an exogenous Poisson separation (destruction) rate

16 This assumption is in line with the fact that outward FDI by Japanese multinationals is complementary to exports of intermediate goods from home, which is likely to raise the demand for workers in home (Nishitateno, 2013).

17 Because all firms are symmetric and the mass of firms is one, variables for individual firms are also aggregate ones. Thus, we omit the index of firms.

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𝑠𝑗. The two types of jobs differ in the following way: the firm finds it costlier to search for high-skilled workers than low-high-skilled workers: π‘β„Ž > 𝑐𝑙 but tends to continue the match with high-skilled workers longer than that with low-high-skilled workers: π‘ β„Ž< 𝑠𝑙. The higher hiring cost for the high-skilled worker pays off in the longer continuation of match, while the lower hiring cost for the low-skilled worker comes at the expense of the shorter continuation.

The matching process is governed by a constant-returns-to-scale matching function, π‘š(π‘ˆ, 𝑉) = π‘ˆπœ‚π‘‰1βˆ’πœ‚, where π‘ˆ is the mass of unemployed workers, 𝑉 = π‘‰β„Ž+ 𝑉𝑙 is the mass of vacancies and πœ‚ ∈ (0,1) the matching elasticity. π‘š(β‹…) is the Poisson arrival rate so that there are on average π‘šΞ”π‘‘ matches during a short time interval Δ𝑑 . We assume that the matching is formed sequentially. First, π‘š(π‘ˆ, 𝑉) matches are formed on average per unit of time between ex ante identical unemployed workers and total vacancies. Then, π‘š(π‘ˆ, π‘‰β„Ž) matched workers out of π‘š(π‘ˆ, 𝑉) get employed in the high-skilled job, while the remaining π‘š(π‘ˆ, 𝑉) βˆ’ π‘š(π‘ˆ, π‘‰β„Ž) matched workers in the low-skilled job. The Poisson arrival rate of matching for a vacancy 𝑗 ∈ {β„Ž, 𝑙} with an unemployed worker, denoted by π‘žπ‘—, is thus:

π‘žβ„Ž ≑ π‘š(π‘ˆ, 𝑉)

π‘‰β„Ž β‹…π‘š(π‘ˆ, π‘‰β„Ž)

π‘š(π‘ˆ, 𝑉) = (πœƒπ‘£β„Ž)βˆ’πœ‚ (3)

π‘žπ‘™ β‰‘π‘š(π‘ˆ, 𝑉)

𝑉𝑙 β‹…π‘š(π‘ˆ, 𝑉) βˆ’ π‘š(π‘ˆ, π‘‰β„Ž)

π‘š(π‘ˆ, 𝑉) =π‘ž βˆ’ π‘£β„Žπ‘žβ„Ž

1 βˆ’ π‘£β„Ž =πœƒβˆ’πœ‚(1 βˆ’ π‘£β„Ž1βˆ’πœ‚)

1 βˆ’ π‘£β„Ž (4)

where πœƒ ≑ 𝑉/π‘ˆ ; 𝑣𝑗 ≑ 𝑉𝑗/𝑉 ; and π‘ž ≑ π‘š(π‘ˆ, 𝑉)/𝑉 = π‘š(1/πœƒ, 1) = πœƒβˆ’πœ‚ . Given the vacancy-unemployment share πœƒ, both arrival rates decrease with the share of high-skilled vacancy π‘£β„Ž. Higher π‘£β„Ž makes each high-skilled vacancy more difficult to match with an unemployed worker (lower π‘žβ„Ž). It also raises the mass of high-skilled match (higher π‘š(π‘ˆ, π‘‰β„Ž)/𝑉 = π‘£β„Žπ‘žβ„Ž) and, thus, crowds out low-skilled matches (lower π‘žπ‘™). The Poisson arrival rate of matching for an unemployed worker with a vacancy 𝑗 is defined similarly.

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Job creation is measured by the number of vacancies that find workers. Aggregate job creation and high/low-skilled job creations (per unit of time) are given by:

𝐽𝐢 = π‘ž β‹… 𝑉 = πœƒβˆ’πœ‚π‘‰ (5)

π½πΆβ„Ž= π‘žβ„Žβ‹… π‘‰β„Ž = πœƒβˆ’πœ‚π‘£β„Ž1βˆ’πœ‚π‘‰ (6) 𝐽𝐢𝑙= π‘žπ‘™β‹… 𝑉𝑙 = πœƒβˆ’πœ‚(1 βˆ’ π‘£β„Ž1βˆ’πœ‚)𝑉, (7)

Similarly, job destruction is measured by the mass of newly separated matches. Aggregate job destruction and high/low-skilled job destructions (per unit of time) are given by:

𝐽𝐷 = π‘ β„Žβ‹… π‘β„Ž+ 𝑠𝑙⋅ 𝑁𝑙 (8)

𝐽𝐷𝑗 = 𝑠𝑗⋅ 𝑁𝑗 (9)

where 𝑛𝑗 ≑ 𝑁𝑗/𝑁 is the employment share of job 𝑗.

Firm’s problem and labor demand

Each firm maximizes the expected value of discounted lifetime profits by choosing time schedules of capital investment 𝐼, capital stock 𝐾, each type of vacancy 𝑉𝑗, and each type of employment 𝑁𝑗. 𝐼 and 𝑉𝑗 are the control variables and can change instantaneously, while 𝐾 and 𝑁𝑗 are the state variables and can change only gradually.18 Solving the maximization problem gives the usual marginal productivity condition for each type of job:

𝐺𝑁 = π‘€β„Ž+(π‘Ÿ + π‘ β„Ž)π‘β„Ž

π‘žβ„Ž

(LDh)

18 Letting 𝑁̇𝑗 be the time derivative of employment 𝑗, employment 𝑗 evolves according to 𝑁̇𝑗 = π½πΆπ‘—βˆ’ 𝐽𝐷𝑗, where 𝐽𝐢𝑗 is job creation of 𝑗 defined (Eqs. (6) and (7)) and 𝐽𝐷𝑗 is job destruction of 𝑗 (Eq.(9)).

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𝐺𝑁 = 𝑀𝑙+(π‘Ÿ + 𝑠𝑙)𝑐𝑙

π‘žπ‘™ (LDl)

where 𝐺𝑁 ≑ πœ•πΊ/πœ•π‘ = πœ•πΊ/πœ•π‘π‘— is the marginal product of labor, 𝑀𝑗 is the wage of labor, 𝑗 π‘Ÿ is the exogenous interest rate, and π‘žπ‘— is the filling rate of the job 𝑗 defined in Eqs. (3) and (4). The marginal product of labor 𝑗, 𝐺𝑗, must be equal to the marginal cost of hiring a worker 𝑗 that consists of the wage, 𝑀𝑗 , and the expected recruitment cost for the worker, (π‘Ÿ + 𝑠𝑗)𝑐𝑗/π‘žπ‘—, since the expected duration of a high-skilled-job vacancy finding a worker is 1/π‘žπ‘—. Given the share of high-skilled vacancy, 𝑣𝑗, both equations show a downward sloping curve in (πœƒ, 𝑀𝑗) space. Higher wages 𝑀𝑗 discourage firms from posting vacancies, leading to a less tighter labor market (lower πœƒ). We call the two equations the labor demand curves.

Wage setting and the share of high-skilled vacancy

When a new match is formed, the firm and the worker engage in a bargain to determine wages in a way of generalized Nash bargaining in which the equilibrium wage maximizes a weighted product of each party’s return from the job match. The resulting outcome is:

𝑀𝑗 = (1 βˆ’ 𝛽)𝑧 + 𝛽 [𝐺𝑁+ βˆ‘ (πœƒπ‘£π‘—)𝑐𝑗 𝑗=β„Ž,𝑙

] (WS)

where 𝛽 ∈ (0,1) is a parameter capturing the worker’s bargaining power and 𝑧 is an unemployment benefit. βˆ‘π‘—=β„Ž,π‘™πœƒπ‘£π‘—π‘π‘— = βˆ‘π‘—=β„Ž,𝑙𝑐𝑗𝑉𝑗/π‘ˆ represents the average cost of posting vacancies for each unemployed worker and increases with the high-skilled-vacancy share π‘£β„Ž because π‘β„Ž > 𝑐𝑙. The worker demands a higher wage when her outside payoff is greater (higher 𝑧) and/or the firm’s opportunity cost of keeping vacancies unfilled is greater (higher 𝐺𝑁 and

βˆ‘π‘—=β„Ž,π‘™πœƒπ‘£π‘—π‘π‘—). We also note that the right-hand side of (WS) does not depend on the job type,

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implying π‘€β„Ž = 𝑀𝑙 = 𝑀, partly because both types of jobs have the same marginal product. The equation (WS), which we call the wage setting curve, has an upward-slope in (𝑀, πœƒ) space.

The steady-state equilibrium is the intersection of the labor supply and demand curves, as shown in Figure 1.

Figure 1. Labor demand and wage setting curves

From (LDh) and (LDl), we have:

πΊπ‘βˆ’(π‘Ÿ + π‘ β„Ž)π‘β„Ž

π‘žβ„Ž = πΊπ‘βˆ’(π‘Ÿ + 𝑠𝑙)𝑐𝑙

π‘žπ‘™ or,

π‘£β„Žπœ‚+ (𝑐̃ βˆ’ 1)π‘£β„Žβˆ’ 𝑐̃ = 0 (10)

where 𝑐̃ ≑ (π‘Ÿ + 𝑠𝑙)𝑐𝑙/[(π‘Ÿ + π‘ β„Ž)π‘β„Ž] measures the hiring cost of low-skilled jobs relative to high-skilled jobs: it is greater when the relative hiring cost is high (higher 𝑐𝑙/π‘β„Ž) and/or the realistic duration of match is shorter (higher 𝑠𝑙/π‘ β„Ž). Eq. (10) is the condition under which the firm is indifferent to posting either a high-skilled vacancy or a low-skilled vacancy in a steady state. The marginal product of the labor net of the expected flow of hiring cost must be equal between the two jobs, determining the high-skilled-vacancy share π‘£β„Ž. If the relative hiring cost of a low-skilled worker is sufficiently low such that 𝑐̃ < 1 βˆ’ πœ‚, Eq. (10) has a solution of π‘£β„Ž ∈

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(0,1). In the following, we assume this inequality for the two types of jobs to coexist in the steady state. As 𝑐̃ is higher, the firm shifts emphasis on recruiting high-skilled workers rather than low-skilled ones, leading to higher π‘£β„Ž.

In steady state, the outflows from and the inflows to the unemployment pool for each type of worker must be equal. That is, for each type 𝑗, 𝐽𝐢𝑗 = 𝐽𝐷𝑗 must hold.

(πœƒπ‘£β„Ž)1βˆ’πœ‚π‘’πΏ = π‘ β„Žπ‘›β„Ž(1 βˆ’ 𝑒)𝐿 πœƒ1βˆ’πœ‚(1 βˆ’ π‘£β„Ž1βˆ’πœ‚)𝑒𝐿 = 𝑠𝑙(1 βˆ’ π‘›β„Ž)(1 βˆ’ 𝑒)𝐿

where we note 𝐽𝐢𝑗 = π‘žπ‘—π‘‰π‘— = πœƒπ‘—π‘žπ‘—π‘ˆ. These equations are also known as the Beveridge Curves (Pissarides, 2000). In summary, the high-skilled-vacancy share π‘£β„Ž is pinned down by the indifference condition (8); the vacancy–unemployment ratio πœƒ and the wage 𝑀 are by labor supply (LS) and labor demand (LD); the high-skilled-employment share π‘›β„Ž and the unemployment rate 𝑒 are determined by the Beveridge Curves.

Effect of FDI on domestic job creation and destruction

We model FDI as an exogenous shock to the firm. We assume that FDI decreases the separation rate 𝑠𝑗 because FDI increases the demand for both types of domestic jobs. Domestic headquarters and branches need to support expanding foreign activities concerning both high- and low-skill intensive activities through administration, product/service customization, production for exports, and so forth.

However, the effect is assumed to vary in the destination of FDI. Japanese firms establish affiliates in Asian countries mainly for seeking low-cost factors such as labor and land, which is known as vertical FDI. Headquarters and plants in Japan concentrate on the production of high value-added parts and components and export the intermediate goods to their plants in

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Asia for assembly (Fujita and Hamaguchi, 2012). This assumption is motivated by the facts that vertical intra-industry trade driven by factor-cost difference is prominent in Asia than in other regions (Fukao et al., 2003; Kimura et al., 2007). FDI to Asia promotes exports and domestic production, thereby making low-skilled jobs more valuable than high-skilled jobs. The relative reduction in the separation rate of low-skilled jobs can be considered sufficiently high, that is,

πœ•π‘ π‘™/πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž << πœ•π‘ β„Ž/πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž < 0.19

Conversely, Japanese multinationals engage in FDI to European and North American countries mainly for saving trade costs and seeking new markets, known as horizontal FDI.

They tend to replace exports by local production to save transportation costs and reduce domestic production. In fact, Nishitateno (2013) finds that complementarity between Japanese FDI and exports to Europe/North America is weaker than that between Japanese FDI and exports to Asia. FDI to Europe and North America does not significantly increase the need for unskilled jobs relative to that for skilled jobs.20 This implies that the relative reduction in the separation rate of skilled jobs is sufficiently high, that is, πœ•π‘ β„Ž/πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴<< πœ•π‘ π‘™/

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴< 0.21

Responding to a decline in the separation rate, the high-skilled-vacancy share π‘£β„Ž and the vacancy–unemployment ratio πœƒ change immediately because firms can instantaneously adjust vacancies 𝑉𝑗. By contrast, the adjustment of employment 𝑁𝑗 and the unemployment rate 𝑒 take time and change gradually. In the following, we will consider the effect of FDI in the short run, where vacancies can react while un/employment remains unchanged.

19 The exact condition is given by πœ•πΉπ·πΌπœ•π‘ β„Žπ΄π‘ π‘–π‘Ž/ πœ•πΉπ·πΌπœ•π‘ π΄π‘ π‘–π‘Žπ‘™ ∈ [0, π‘†π‘Ž) , where π‘†π‘Žβ‰‘ Ξ“2/Ξ“1 ; Ξ“1≑ π‘β„Ž(π‘Ÿ + π‘ β„Ž)[π‘₯{πœ‚π‘Μƒ βˆ’ π‘£β„Ž(1 βˆ’ πœ‚)(1 βˆ’ 𝑐̃)} + π›½πœƒπ‘π‘™π‘Μƒ(1 βˆ’ π‘£β„Ž)] ; Ξ“2≑ π›½πœƒπ‘π‘™2(π‘Ÿ + π‘ β„Ž)(1 βˆ’ π‘£β„Ž) ; and π‘₯ ≑ (1 βˆ’ 𝛽)(πΊπ‘βˆ’ 𝑧) βˆ’ π›½πœƒ βˆ‘ 𝑣𝑗 𝑗𝑐𝑗, which we assume to be positive. See Theory Appendix for details.

20 Hayakawa et al. (2013) find that Japanese firms that started horizontal FDI, defined as FDI to developed countries, increased demand for non-production workers in home.

21 The exact condition is given by πœ•πΉπ·πΌπœ•π‘ πΈπ‘ˆ,π‘π΄β„Ž / πœ•πΉπ·πΌπœ•π‘ πΈπ‘ˆ,𝑁𝐴𝑙 ∈ [𝑆𝑑,∞), where 𝑆𝑑 ≑ Θ2/Θ1; Θ1≑ π‘£β„Žπ‘β„Ž(π‘Ÿ + π‘ β„Ž)[π›½πœƒ(1 βˆ’ π‘£β„Ž) 𝑐̃(π‘β„Žβˆ’ 𝑐𝑙) + π‘₯] ; and Θ2≑ 𝑐𝑙(π‘Ÿ + π‘ β„Ž)(1 βˆ’ π‘£β„Ž)[πœ‚π‘₯ + π›½πœƒπ‘£β„Ž(π‘β„Žβˆ’ 𝑐𝑙)] . See Theory Appendix for details.

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FDI to Asia

When the separation rate of the low-skilled match declines more sharply than that of the skilled match as a result of FDI to Asia, firms find it more profitable to match low-skilled workers relative to high-skilled ones. To equalize the profitability of hiring the two types of workers, firms increase the share of low-skilled vacancy, 𝑣𝑙 = 1 βˆ’ π‘£β„Ž, with a lower search cost of 𝑐𝑙(<

π‘β„Ž) . This change in the composition of vacancies reduces the average search cost per unemployed worker (lower βˆ‘π‘—=β„Ž,π‘™π‘π‘—πœƒπ‘£π‘— = βˆ‘π‘—=β„Ž,𝑙𝑐𝑗𝑉𝑗/π‘ˆ ) and strengthens the bargaining position of firms against workers. Workers are unable to demand higher wages than before, making (WS) shift down. Besides, based on the setting where high-skilled vacancies are filled first and the low-skilled ones next, the filling rate of low-skilled vacancy π‘žπ‘™ increases owing to the fewer high-skilled vacancies. Thus, firms increase low-skilled vacancies more than they reduce high-skilled vacancies, making the labor market tighter, as reflected in the rightward shift of (LD). Both shifts of (WS) and (LD) result in a higher vacancy–unemployment ratio πœƒ, as shown in Figure 2.

Figure 2. The effect of FDI to Asia

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From Eqs. (5) and (8), the effect of FDI on domestic job creation and destruction is given by:

πœ•π½πΆ

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž = (1 βˆ’ πœ‚)πœƒβˆ’πœ‚πœƒβ€²π‘ˆ > 0

πœ•π½π·

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž = βˆ‘ 𝑠𝑗′

𝑗=β„Ž,𝑙

𝑁𝑗 < 0

where πœƒβ€²β‰‘ πœ•πœƒ/πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž > 0 and 𝑠𝑗′ ≑ πœ•π‘ π‘—/πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž < 0 . Because of FDI to Asia, both types of job matches are likely to continue longer so that fewer existing matches are destroyed.

The effect of longer duration is greater for low-skilled jobs with lower search costs. The total number of vacancies firms post increases, resulting in more job creation. This result is in line with our empirical findings.

By decomposing the effect into job creation and destruction of each type of job (Eqs.

(6), (7) and (9)), we can see:

πœ•π½πΆβ„Ž

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž = π‘žβ„Žβ€²π‘‰β„Ž+ π‘žβ„Žπ‘‰β„Žβ€² = (1 βˆ’ πœ‚)(πœƒπ‘£β„Ž)1βˆ’πœ‚(πœƒβ€²/πœƒ + π‘£β„Žβ€²/π‘£β„Ž)π‘ˆ < 0 (11)

πœ•π½πΆπ‘™

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž = πœ•π½πΆ

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Žβˆ’ πœ•π½πΆβ„Ž

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž > 0 (12)

πœ•π½π·π‘—

πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž = 𝑠𝑗′𝑁𝑗 < 0 for 𝑗 ∈ {β„Ž, 𝑙} (13)

where π‘£β„Žβ€² ≑ πœ•π‘£β„Ž/πœ•πΉπ·πΌπ΄π‘ π‘–π‘Ž < 0; π‘£β„Žπœ‚βˆ’1 > 1; and πœƒβ€²/πœƒ + π‘£β„Žβ€²/π‘£β„Ž > 0. The proofs are given in the Theory Appendix. Although FDI to Asia increases total job creation, it decreases the creation of skilled jobs by shifting the share of vacancies from skilled to unskilled jobs.

FDI to Europe/North America

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Contrary to FDI to Asia, FDI to Europe and North America causes a much greater decline in the separation rate of the high-skilled match than that of the low-skilled match. The effect here is exactly opposite to the effect of FDI to Asia. Due to the higher profitability of high-skilled jobs, firms raise their share of total vacancies (higher π‘£β„Ž). Higher π‘£β„Ž increases the average search cost per unemployed worker and, thus, the firms’ opportunity cost of keeping vacancies unfilled. Firms must agree on a higher wage demanded by workers, shifting (WS) up. Because of the higher π‘£β„Ž reducing the filling rate of skilled vacancies, firms reduce both high-skilled and low-high-skilled vacancies, making (LD) shift leftward. These shifts translate into a lower vacancy–unemployment ratio πœƒ, as shown in Figure 3.

Figure 3. The effect of FDI to Europe/North America

From Eqs. (5) and (8), the effect of FDI on total job creation and destruction is

πœ•π½πΆ

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴= (1 βˆ’ πœ‚)πœƒβˆ’πœ‚πœƒβ€²π‘ˆ < 0

πœ•π½π·

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴= βˆ‘ 𝑠𝑗′ 𝑗=β„Ž,𝑙

𝑁𝑖 < 0

where ′≑ πœ•πœƒ/πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴 < 0 and 𝑠𝑗′ ≑ πœ•π‘ π‘—/πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴< 0 . This is consistent with our

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empirical findings.

From Eqs. (6), (7), and (9), we derive the effect of FDI on each type of job creation and destruction as.

πœ•π½πΆβ„Ž

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴 = π‘žβ„Žβ€²π‘‰β„Ž+ π‘žβ„Žπ‘‰β„Žβ€² = (1 βˆ’ πœ‚)(πœƒπ‘£β„Ž)1βˆ’πœ‚(πœƒβ€²/πœƒ + π‘£β„Žβ€²/π‘£β„Ž)π‘ˆ > 0 (14)

πœ•π½πΆπ‘™

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴 = πœ•π½πΆ

πœ•πΉπ·πΌπΈπ‘ˆ,π‘π΄βˆ’ πœ•π½πΆβ„Ž

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴< 0 (15)

πœ•π½π·π‘—

πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴= 𝑠𝑗′𝑁𝑗 < 0 for 𝑗 ∈ {β„Ž, 𝑙} (16)

where π‘£β„Žβ€² ≑ πœ•π‘£β„Ž/πœ•πΉπ·πΌπΈπ‘ˆ,𝑁𝐴 < 0; π‘£β„Žπœ‚βˆ’1> 1; and πœƒβ€²/πœƒ + π‘£β„Žβ€²/π‘£β„Ž > 0. The proofs are given in the Theory Appendix. Contrary to FDI to Asia, FDI to Europe/North America induces firms to create more skilled jobs and fewer unskilled jobs.

Empirical evidence on the mechanism

To explain why the effect of FDI on domestic jobs varies in its destination, the theoretical model highlights the role of heterogeneous jobs and gives new testable implications. That is, (i) an increase in FDI to Asia creates more unskilled jobs and fewer skilled jobs (Eqs. (11) and (12));

(ii) an increase in FDI to EU/North America creates more skilled jobs and fewer unskilled jobs (Eqs. (14) and (15)); (iii) an increase in FDI to either destination reduces the destruction of both types of jobs (Eqs. (13) and (16)): 22

We take a step further to empirically investigate the three predictions from (i) to (iii).

Because detailed information on the skill level of employees is not available, we instead use the information on division-level characteristics. We suppose that employees working in some

22 We start from our theory by assuming that FDI has different impacts on the job separation rate, 𝑠𝑖. Ideally, we need to check this to verify the mechanism. However, our limited data does not enable us to further investigate 𝑠𝑖. We take an indirect approach instead; we derive new theoretical predictions on FDI impact of domestic job creation and destruction of each type of job and then empirically test them.

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divisions are skilled labor, while those in other divisions are unskilled. The classification closely follows that proposed by Autor and Dorn (2013) and is given in Table 5.

TABLE 5

Classification of low/high skilled jobs

Division Skill type

Research & planning High

Information High

Research & development High

International business High

Human resources, accounting, other management Low Manufacturing, mining, electricity, gas Low

Commerce Low

Restaurants Low

Research High

Services Low

Warehouse, transportation, delivery Low

Other domestic Low

We then construct the measures of firm-skill level job creation and destruction and repeat the same regressions as in Section 3. The results are summarized in Table 6. The signs of the coefficients of interest are consistent with our predictions, although some of them are statistically insignificant. From columns (1) and (2), we see that an increase in the number of Asian affiliates has a negative effect on skilled job creation and a positive effect on unskilled job creation, which is in line with (i). As predicted by (ii), we also see that an increase in the number of European/North American affiliates has an exact opposite effect on un/skilled-job creation. We confirm the third prediction: the negative effect of FDI into Europe/North America on high/low skilled-job distribution from columns (3) and (4).

TABLE 6

Analysis by high skilled and low skilled divisions (IV method)

(1) (2) (3) (4) (5) (6) (7) (8)

Dependent variable JC_high JC_high JC_low JC_low JD_high JD_high JD_low JD_low Asia_affiliate

-0.396 -0.859

16.86**

* 12.86** -1.081 -1.257 -12.19** -12.16**

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Observations 122,578 122,578 122,578 122,578 122,578 122,578 122,578 122,578 Number of firms 19,254 19,254 19,254 19,254 19,254 19,254 19,254 19,254 Standard errors are in parentheses. *** Significant at 1%. ** Significant at 5%. * Significant at 10%.

Notes: We use mean_Asia_affiliate and mean_EU_NA_affiliate as IVs.

V. Conclusion

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We examined the effect of outward FDI on home employment using unique firm-establishment-division level panel data in Japan. Contrary to most previous studies focusing only on net employment growth, we have decomposed it into job creation and job destruction. This decomposition tells us where net employment growth comes from, that is, positive net growth resulting from more jobs created, from fewer jobs destructed, or both. Such information is essential for ensuring the flexibility of the labor market, which is a key factor for a country benefiting from globalization.

The results show that although both investments in Asia and Europe/North America have a positive effect on the net employment growth of a firm, they have opposite effects on job creation, positive and negative, respectively. Compared with investment in Europe and North America, investment in Asia favors unemployed workers and/or existing employees in other firms, contributing to active adjustment in the Japanese labor market. To explain the results, we have modeled heterogeneous jobs, high-skilled and low-skilled ones, in a frictional search-and-matching framework and argued that FDI to different regions may lead to different labor reallocation decisions between the two types of jobs. FDI to Asia raises the demand for low-skilled jobs with low hiring costs more than demand for high-skilled jobs with high hiring costs, leading to more aggregate job creations. Contrastingly, FDI to Europe/North America increases the demand for high-skilled jobs more, reducing aggregate job creations. Such a mechanism is also verified empirically.

The limitation of this study is that the data does not include very small firms who employ <50 workers or with < 30,000,000 yen worth of capital. Most firms in this category could be immature firms or ventures, whose behaviors and FDI effects could differ from those of large and mature firms. Thus, the findings are only limited to medium-sized and large firms in Japan. Furthermore, detailed FDI activities and the motivation for foreign investment are unavailable in the current data. We will leave these for future studies.

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