Nielson Motors (NM) has no debt. Its assets will be worth $600 million in one year if the economy is strong, but only $300 million if the economy is weak. Both events are equally likely. The market value today of Nielson's assets is $400 million.Suppose the risk-free interest rate is 4%. If Nielson borrows $150 million today at this rate and uses the proceeds to pay an immediate cash dividend, then according to MM, the expected return of Nielson's stock just after the dividend is paid would be closest to:Group of answer choices-12.5%.17.6%.-17.5%.12.5%.

The Modigliani-Miller theorem (MM) states that the value of a firm is unaffected by its capital structure. The value of the firm is determined by its real assets, not by how it finances those assets or distributes dividends.

Given that, let's calculate the expected return of Nielson's stock just after the dividend is paid.

First, we need to calculate the value of the firm after the debt is issued and the dividend is paid. The firm borrows $150 million and pays it out as dividends, so the value of the firm remains the same at$400 million.

Next, we need to calculate the value of the firm's equity. This is the value of the firm minus the debt. So, $400 million -$150 million = $250 million.

Now, we need to calculate the expected value of the firm's assets in one year. This is the average of the two possible outcomes, so ($600 million +$300 million) / 2 = $450 million.

The expected return on equity is then the expected value of the assets minus the debt, divided by the initial equity. So, ($450 million -$150 million) / $250 million = 1.2, or 120%.

However, this is the total return over the year. To get the annualized return, we need to subtract the risk-free rate of 4%. So, 120% - 4% = 116%.

Therefore, the expected return of Nielson's stock just after the dividend is paid would be closest to 116%. However, this option is not given in the answer choices. There might be a mistake in the question or the provided answer choices.

The Modigliani-Miller theorem (MM) states that the value of a firm is unaffected by its capital structure. The expected return on equity can be calculated using the formula:

Expected Return = (Equity Market Value / Total Market Value) * Return on Assets

First, we need to calculate the return on assets. The expected value of the assets is the average of the two possible outcomes, which is ($600 million +$300 million) / 2 = $450 million.

The return on assets is then (Expected Value of Assets - Initial Value of Assets) / Initial Value of Assets = ($450 million -$400 million) / $400 million = 12.5%.

Next, we need to calculate the equity market value. After the firm borrows $150 million, the equity market value is the total market value minus the debt, which is$400 million - $150 million =$250 million.

Finally, we can calculate the expected return on equity:

Expected Return = ($250 million /$400 million) * 12.5% = 7.8125%.

However, this is not one of the options provided. It seems there might be a mistake in the question or the provided answer choices.