问题如下：
Sophie Chan owns 100,000 shares of PAT Company. PAT is selling for € 40 per share, so Chan’s investment is worth € 4,000,000. Chan reinvests the gross amount of all dividends received to purchase additional shares. Assume that the clientele for PAT shares consists of tax-exempt investors. If PAT pays a € 1.50 dividend, Chan’s new share ownership after reinvesting dividends at the ex-dividend price is most likely to be closest to:
选项：
A.103,600.
B.103,750.
C.103,900.
解释：
C is correct.
Because the clientele for PAT investors has the same tax rate (zero) for dividends and capital gains, the ex-dividend stock price of PAT should decline by the amount of the dividend to € 40– € 1.50 = € 38.50. Chan will purchase € 150,000/ € 38.50 = 3,896 additional shares. This increases her total shares owned to 103,896. Chan’s new share ownership is closest to 103,900.
老师您好，请问题目里提及的有免税的投资者，目的是为了导出divided前后的价格变化量与divided相当么？
