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A property project produces an after-tax return of 8.5% on total funds invested. The investor can borrow funds for this project at 7.5% and the investor’s marginal tax rate is 35.5%. Assuming an LVR (loan to value ratio) of 70%, the after-tax return on equity is: a. 17.05% b. 19.44% c. 9.05% d. 12.78% e. 21.34%

Question

A property project produces an after-tax return of 8.5% on total funds invested. The investor can borrow funds for this project at 7.5% and the investor’s marginal tax rate is 35.5%. Assuming an LVR (loan to value ratio) of 70%, the after-tax return on equity is:

a. 17.05%

b. 19.44%

c. 9.05%

d. 12.78%

e. 21.34%

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Solution

To solve this problem, we need to use the formula for calculating the after-tax return on equity (ROE) in a leveraged property investment. The formula is:

ROE = (Rental Yield - Interest Rate * LVR) / (1 - LVR)

Where:

  • Rental Yield is the after-tax return on the total funds invested (8.5% in this case)
  • Interest Rate is the rate at which the investor can borrow funds (7.5% in this case)
  • LVR is the loan-to-value ratio (70% or 0.7 in this case)

Substituting the given values into the formula, we get:

ROE = (0.085 - 0.075 * 0.7) / (1 - 0.7)

Solving this equation gives us a ROE of approximately 0.1944 or 19.44%.

So, the correct answer is:

b. 19.44%

This problem has been solved

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