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A property is neutrally geared now with an LTV of 50%. If the investor decides to increase leverage with the same interest rate of loan, which of the following is correct about income ROE (YROE), capital gain ROE (GROE), and total ROE (TotalROE)? Assume the capital gain is positive and ignore tax. a. YROE is unchanged, GROE and TotalROE increase b. YROE, GROE and TotalROE decrease c. YROE and TotalROE decrease, GROE increases d. YROE, GROE and TotalROE increase e. YROE decreases, GROE and TotalROE increase

Question

A property is neutrally geared now with an LTV of 50%. If the investor decides to increase leverage with the same interest rate of loan, which of the following is correct about income ROE (YROE), capital gain ROE (GROE), and total ROE (TotalROE)? Assume the capital gain is positive and ignore tax.

a. YROE is unchanged, GROE and TotalROE increase

b. YROE, GROE and TotalROE decrease

c. YROE and TotalROE decrease, GROE increases

d. YROE, GROE and TotalROE increase

e. YROE decreases, GROE and TotalROE increase

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Solution

The correct answer is a. YROE is unchanged, GROE and TotalROE increase.

Here's why:

  1. YROE (Yield Return on Equity) is calculated as Net Operating Income divided by Equity. In this case, increasing the leverage (i.e., taking on more debt) does not change the Net Operating Income or the Equity, so YROE remains unchanged.

  2. GROE (Gain Return on Equity) is calculated as Capital Gain divided by Equity. If the investor increases leverage, they are reducing their equity (because they are borrowing more). This means the denominator in the GROE calculation decreases, which in turn increases GROE (assuming the capital gain remains positive).

  3. TotalROE is the sum of YROE and GROE. Since YROE remains unchanged and GROE increases, TotalROE also increases.

This problem has been solved

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