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Use the following information to answer the question(s) below.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.The expected return for Nielson Motors stock without leverage is closest to:Group of answer choices12.5%.-17.5%.-12.5%.-25.0%.

Question

Use the following information to answer the question(s) below.Nielson Motors (NM) has no debt. Its assets will be worth 600millioninoneyeariftheeconomyisstrong,butonly600 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.The expected return for Nielson Motors stock without leverage is closest to:Group of answer choices12.5%.-17.5%.-12.5%.-25.0%.

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Solution

To calculate the expected return for Nielson Motors stock without leverage, we first need to calculate the expected value of the company's assets in one year.

The expected value is calculated as follows:

(Expected Value of Strong Economy + Expected Value of Weak Economy) / Number of Possible Outcomes

In this case, the expected value of the company's assets in one year would be:

(600million+600 million + 300 million) / 2 = $450 million

Next, we calculate the expected return, which is the expected value of the assets in one year minus the current market value of the assets, divided by the current market value of the assets, expressed as a percentage.

So, the expected return would be:

(450million450 million - 400 million) / $400 million = 0.125 or 12.5%

Therefore, the expected return for Nielson Motors stock without leverage is closest to 12.5%.

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