(a) New Zealand Properties Fund (NZPF) is currently trading for $25 per share and is about to pay a regular cash dividend of $1 per share. This per-share cash dividend comes with $0.10 imputation credit. Assume that all shareholders can use the imputation credit and the average tax rate of all shareholders is 17.5%. There is no other news arriving between now and when the share goes ex-dividend. NZPF's share price just after it goes ex-dividend will be
Question
(a) New Zealand Properties Fund (NZPF) is currently trading for 1 per share. This per-share cash dividend comes with $0.10 imputation credit. Assume that all shareholders can use the imputation credit and the average tax rate of all shareholders is 17.5%. There is no other news arriving between now and when the share goes ex-dividend. NZPF's share price just after it goes ex-dividend will be
Solution
To calculate the share price just after it goes ex-dividend, we need to consider the dividend payment and the imputation credit, as well as the tax rate.
Step 1: Calculate the after-tax dividend The after-tax dividend is the cash dividend minus the tax on the dividend plus the imputation credit. The tax on the dividend is calculated as the cash dividend multiplied by the tax rate.
After-tax dividend = Cash dividend - (Cash dividend * Tax rate) + Imputation credit After-tax dividend = 1 * 0.175) + 0.825 + 0.925
Step 2: Calculate the ex-dividend share price The ex-dividend share price is the current share price minus the after-tax dividend.
Ex-dividend share price = Current share price - After-tax dividend Ex-dividend share price = 0.925 Ex-dividend share price = $24.075
Therefore, NZPF's share price just after it goes ex-dividend will be approximately $24.075.
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