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samlet årgang - Økonomisk Institut - Københavns Universitet

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TAXATION OF SHAREHOLDER INCOME AND THE COST OF CAPITAL IN AN OPEN ECONOMY 435<br />

a residence-based personal tax on dividends and capital gains on shares may actually<br />

reduce the required rate of return on shares in small unquoted companies, because of<br />

the risk-reducing insurance effect of a tax with full loss offsets. This might seem to<br />

suggest that policy concern over the double taxation of corporate equity income is<br />

indeed unwarranted.<br />

In this paper I extend the Apel-Södersten model to include an additional risky asset.<br />

Within this extended model I show that although personal taxes on shareholder income<br />

may well, on average, reduce the cost of capital for small companies, they will also<br />

distort the pattern of risk-taking and investment within the group of small companies<br />

by favouring investment in unquoted shares whose returns are highly correlated with<br />

the return on the market portfolio. Presumably this distortion is undesirable, so there is<br />

a case for designing tax rules that will be neutral towards the allocation of risk and investment.<br />

This paper shows that if shareholders are allowed a deduction for a risk-free<br />

rate of return on their shares so that tax is only levied on the equity premium, the tax<br />

system will be neutral provided investors are well-diversified. If shareholders in small<br />

companies are not well diversified, I show that a symmetric tax on the equity premium<br />

will tend to reduce the required rate of return on unquoted shares, and I argue that this<br />

non-neutrality is likely to be socially desirable. Finally, I demonstrate the non-neutrality<br />

of a tax system that allows a deduction for a risk-free rate of return only to holders<br />

of shares in unquoted companies. These results are relevant for the current Nordic tax<br />

policy debate, since Norway is about to introduce a rate-of-return allowance for all resident<br />

personal shareholders, while Sweden has already introduced such an allowance<br />

for holders of unquoted shares.<br />

The next section sets up a model of portfolio choice in a small open economy. Section<br />

3 uses the model to derive and discuss the distortionary effect of a personal tax on<br />

the full return to equity. Section 4 demonstrates the neutrality of an equity income tax<br />

which allows a deduction for a risk-free rate of return, assuming well-diversified investors.<br />

Section 5 analyzes the effect of a tax on the equity premium under incomplete<br />

diversification, and section 6 studies the effect of a selective rate-of-return allowance<br />

targeted at the holders of unquoted shares. The final section 7 discusses some limitations<br />

of the model.<br />

2. A model of portfolio choice in a small open economy<br />

Like Apel and Södersten (1999), I distinguish between shares that are traded in the<br />

international stock market (»quoted shares«) and shares that are only traded domestically<br />

(»unquoted shares«). However, in order to study the effects of taxation on the<br />

allocation of risk within the sector of small companies, I extend the Apel-Södersten<br />

framework to include two types of unquoted shares. Thus the representative investor invests<br />

a fraction v 1 of his initial wealth V 0 in unquoted shares of type 1, yielding an

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