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Corporate income tax systems around the world typically favor debt over equity in the tax base definition. The resulting distortions on financing and investment decisions of corporations are well documented in the existing literature. In this paper, we focus on the ACE proposal by the Mirrlees Review [1] . It is shown that an ACE, which mitigates the unequal treatment of returns to owned and borrowed capital, fosters innovation by financing startups.

The Mirrlees Review [^{1}.

Under CIT equity finance is not deductible from taxable profits. As a consequence, the normal return on equity is taxed, implying the standard tax treatment of corporate income tends to discourage investment financed by equity. This effect is potentially harmful in an environment where future returns on investment are risky and loan contracts suffer from problems of asymmetric information. Especially startups are likely to face higher technological and economic risk and, at the same time, have seemingly less assets as collateral. As a result, taxation causes an inefficient increase in borrowing costs and reduces investment especially of young and innovative firms [

We aim to show that ACE is not only non-discriminative but also supports entrepreneurs. In this way, it can be thought of as a public policy which fosters innovation. Innovation policy targeting startups enters public discussions recently through various policy initiatives in the United States and elsewhere^{2}. All these initiatives identify the collection of funds for financing innovative projects as an obstacle for economic growth. Thus, the debate on innovation is closely connected the discussion of reforming the corporate tax system. Section 2 presents the model and results. Section 3 gives a short discussion.

We analyze the effects of an ACE on the financing costs of startups in a model where the established firm’s equity exceeds the startups capital resources. Central to the analysis is the discussion of the financial consequences followed by a switch towards an ACE system^{3}. Assume bank i offers an interest rate r i for each unit of deposits φ ^{4}. An increase in the interest rate offered by bank i leads to a higher level of deposits φ ( r i , r − i ) bank i mobilizes, i.e., ∂ φ ( r i , r − i ) / ∂ r i > 0 . Deposits and equity, [ B − φ ( r i , r − i ) ] , form the bank funds^{5}.

Each of the symmetric banks chooses between established firms and startups when they make their capital allocation decision. Suppose that investment in the established firm yields an expected return that exceeds the expected return of an investment in the startup, but the bank earns higher profits when it allocates its assets in the startup and the startup succeeds.

Since deposits φ ( r ) collected from depositors are invested into the firms the banks’ pre-tax per period profits π ( r , k ) are

π E , S = θ E , S [ ( r + m E , S ( b ) ) B E , S − r φ ] − ρ ( B E , S − φ ) . (1)

Here, θ E , S describes the probability that the investment in the established firm or the startup, respectively, is successful. In the definition interest cost and opportunity cost on equity ρ sum up to unit costs of capital. Revenue per unit of capital results from the interest plus a surcharge m ( b ) that increases with the debt to equity ratio b. It is understood that profits are a positive number as a consequence of limited liability.

To determine banking profit let us first discuss the choice of the debt-to-equity ratio at the firm level in a model where investment takes only place once. From our above argumentation a startup is a newly established firm with a potentially weaker reputation or a not so established developed client-supplier structure compared to an established firm. We capture the difference between the two types of firms in our model by the degree of risk exposure and liability, i.e., the probability of success and the amount of equity, as we believe the two criteria have significant effect on the process of capital accumulation. Let the probability for an established firm to go bankrupt be smaller than the probability of the startup to fail, i.e., θ E > θ S . Denote by X equity of the startup and by X + E 0 equity of the established firm. Debt capital of the startup initially exceeds equity^{6}, that is X < B 0 + E 0 N where E 0 N is the amount of equity the startup acquires during the first period on the market. The capital assets including equity and borrowed capital of the firms are denoted by K t . The capital asset in the second period is the sum of the capital asset of the first period plus the investment from the first period, I 0 . Therefore, the capital asset in period t 1 is K 1 = K 0 + I 0 . Investment I t is financed through equity E t + E t N and new debt capital B t N . Production ends in the last period, implying K 2 = 0 . Then, dividends after corporate income taxation are

D t = ( 1 − τ ) ( π t − ( r + m t ( b t ) ) B t ) − E t , (2)

where τ denotes the tax rate, π t the profit in period t , and r t + m t ( b t ) reflects the interest rate plus a surcharge which is dependent on the rate of debt to equity b t .

Profits can either be distributed as dividends or accumulated, so the amount of equity E t reduces dividends. With capital assets of K t , the total amount of equity can be written as K t − B t . The startup and the established firm maximize

D 0 + D 1 1 + r by choosing the optimal amount of new borrowed capital B 0 N , which they borrow from the bank in period t 0 .

Debt in period t 1 consists of the debt already existing in period t 0 , B 0 , and borrowing in period t 1 , B 0 N . Clearly, B 1 = B 0 + B 0 N and also E 1 = X + E 0 + E 0 N .

Therefore, the ratio of debt and equity in period t 1 is b 1 = B 1 E 1 = B 0 + B 0 N X + E 0 + E 0 N .

The firms maximization problem leads to new borrowing of B 0 N ∗ . It is noteworthy to distinguish between the startup and the already established firm at his point, as the startup was not able to accumulate equity before period t 0 , i.e., E S , 0 = 0 . Therefore, given the choice of B 0 N ∗ , the startup has a higher debt to equity ratio than the established firm, that is b S , t > b E , t for t = 0 , 1 . We also know that m S , t ( b S , t ) > m E , t ( b S , t ) which means that the startup pays a higher surplus to the established firm than the established firm does. This affects the banks asset allocation, i.e., the choice of the investment alternative.

Let the bank allocate its assets into the investments which yields the highest profits. From this, we develop a critical threshold value in the probability space such that the bank will invest in the established firm as long as it can earn higher profits than investing in the startup which is true for

θ E θ S ≥ m S ( b S C T S ) B S C T S m E ( b E C T S ) B E C T S : = T C T S . (3)

Under ACE the startup and the established firm are able to deduct a notional interest rate on equity. Therefore new borrowing is B 0 N = − B 0 , implying that the established firm will clear debts in the second period. This implies that the established firm does not need to pay a surcharge in the second period, i.e., m E , 1 ( b E , 1 ) = 0 . Hence, the average surcharge of the established firm m E ( b E ) decreases under ACE.

In contrast, the startup is not able to pay back the full amount of its debt such that the average risk surcharge of the startup decreases to a lower degree, implying | Δ m E ( b E ) | > | Δ m S ( b S ) | .

To obtain our result it is then straightforward to compare the threshold value under ACE

θ E θ S ≥ m S ( b S A C E ) B S A C E m E ( b E A C E ) B E A C E : = T A C E (4)

and Equation (3) shows that the introduction of an ACE tax system increases the critical value and thus gives incentives to the bank to choose the investment in the startup.

We discussed a promising proposition for an improvement of the corporate income tax system through public policy which we also believe will improve the possibilities for financing entrepreneurship. As we defined above, the existing system treats returns to equity and debt differently, which is often appointed as discrimination against equity finance. In our model, the current system of corporate taxation serves as a benchmark. We derive the effects of an introduction of the ACE in a model where profit maximizing banks compete for depositors and banks use the deposits to finance investment on the firms’ level. Established firms and startups choose investment to maximize profits. Our key finding states that the introduction of an ACE provides incentives for the bank to invest in startups. Thus, ACE is an example not only for a solution of the problem of discrimination against equity finance, but also as a public policy product which supports entrepreneurship.

Eggert, W. and Heitzmann, S. (2017) Corporate Deductibility Provisions and Financial Constraints of Innovative Entrepreneurs. Theoretical Economics Letters, 7, 1602-1606. https://doi.org/10.4236/tel.2017.76108