In: Finance
The expected pretax return on three stocks is divided between dividends and capital gains in the following way:
Stock | Expected Dividend | Expected Capital Gain |
A | $0 | $10 |
B | 5 | 5 |
C | 10 | 0 |
a. If each stock is priced at $145, what are the expected net percentage returns on each stock to (i) a pension fund that does not pay taxes, (ii) a corporation paying tax at 45% (the effective tax rate on dividends received by corporations is 10.5%), and (iii) an individual with an effective tax rate of 10% on dividends and 5% on capital gains? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Stock | Pension | Investor Corporation | Individual | |||
A | % | % | % | |||
B | % | % | % | |||
C | % | % | % |
b. Suppose that investors pay 40% tax on dividends and 10% tax on capital gains. If stocks are priced to yield an after-tax return of 10%, what would A, B, and C each sell for? Assume the expected dividend is a level perpetuity. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Stock | Price |
A | |
B | |
C |
Answer (a) | ||||||
Return of Dollar = | Dividend(1-DT) + Capital Gain(1-CG tax) | |||||
Net Return = | Dollar Return/Price | |||||
(Pension) | ||||||
Stock | Exp. Dividend | Exp. CG | Dividend Tx Rate | CG Tax Rate | Dollar Return | Net Return |
A. | 0 | 10 | 0 | 0 | 10 | 6.897% |
B. | 5 | 5 | 0 | 0 | 10 | 6.897% |
C. | 10 | 0 | 0 | 0 | 10 | 6.897% |
(Corporation) | ||||||
Stock | Exp. Dividend | Exp. CG | Dividend Tx Rate | CG Tax Rate | Dollar Return | Net Return |
A. | 0 | 10 | 10.50% | 10.50% | 8.95 | 6.172% |
B. | 5 | 5 | 10.50% | 10.50% | 8.95 | 6.172% |
C. | 10 | 0 | 10.50% | 10.50% | 8.95 | 6.172% |
(Individual) | ||||||
Stock | Exp. Dividend | Exp. CG | Dividend Tx Rate | CG Tax Rate | Dollar Return | Net Return |
A. | 0 | 10 | 10% | 5% | 9.5 | 6.552% |
B. | 5 | 5 | 10% | 5% | 9.25 | 6.379% |
C. | 10 | 0 | 10% | 5% | 9 | 6.207% |
Answer (b) | ||||||
Price for all the 3 stocks | ||||||
Price = | Dollar Return / After tax Return | |||||
Stock | Exp. Dividend | Exp. CG | Dividend Tx Rate | CG Tax Rate | Dollar Return | Price |
A. | 0 | 10 | 40% | 10% | 9 | 90.00 |
B. | 5 | 5 | 40% | 10% | 7.5 | 75.00 |
C. | 10 | 0 | 40% | 10% | 6 | 60.00 |