Question

In: Finance

Suppose rRF = 4%, rM = 10%, and bi = 1.8. 2. Now suppose rRF decreases...

Suppose rRF = 4%, rM = 10%, and bi = 1.8.

2. Now suppose rRF decreases to 3%. The slope of the SML remains constant. How would this affect rM and ri?

-Select-IIIIIIIVVItem 3

  1. What is ri, the required rate of return on Stock i? Round your answer to one decimal place.

      %

  2. 1. Now suppose rRF increases to 5%. The slope of the SML remains constant. How would this affect rM and ri?
    1. rM will remain the same and ri will increase by 1 percentage point.
    2. rM will increase by 1 percentage point and ri will remain the same.
    3. Both rM and ri will decrease by 1 percentage point.
    4. Both rM and ri will remain the same.
    5. Both rM and ri will increase by 1 percentage point.

    -Select-IIIIIIIVVItem 2

    1. rM will decrease by 1 percentage point and ri will remain the same.
    2. rM will remain the same and ri will decrease by 1 percentage point.
    3. Both rM and ri will increase by 1 percentage point.
    4. Both rM and ri will remain the same.
    5. Both rM and ri will decrease by 1 percentage point.
  3. 1. Now assume that rRF remains at 4%, but rM increases to 11%. The slope of the SML does not remain constant. How would these changes affect ri? Round your answer to one decimal place.

    The new ri will be   %.

    2. Now assume that rRF remains at 4%, but rM falls to 9%. The slope of the SML does not remain constant. How would these changes affect ri? Round your answer to one decimal place.

    The new ri will be   %.

Solutions

Expert Solution

Suppose rRF = 4%, rM = 10%, and bi = 1.8.

CAPM Expected Rate of return = Risk Free Rate + Beta * (Market Risk Premium) = 4% + 1.80 * 6% = 14.80%

2. Now suppose rRF decreases to 3%. The slope of the SML remains constant. How would this affect rM and ri?

Slope of SML = Market risk Premium = Market Return - Risk Free = 10% - 4% = 6%

New Expected Rate of Return = Risk Free Rate + Beta * (Market Risk Premium)

New Expected Rate of Return = 3% + 1.80 * 6%

New Expected Rate of Return = 13.80% (Reduced by 1%)

New Market Return = Slope of SML + Risk Free Rate = 6% + 3% = 9% (Reduced by 1%)

Thus Both rM and ri will decrease by 1 percentage point.

What is ri, the required rate of return on Stock i? Round your answer to one decimal place.

CAPM Expected Rate of return = Risk Free Rate + Beta * (Market Risk Premium) = 4% + 1.80 * 6% = 14.80%

Now suppose rRF increases to 5%. The slope of the SML remains constant. How would this affect rM and ri?

Slope of SML = Market risk Premium = Market Return - Risk Free = 10% - 4% = 6%

New Expected Rate of Return = Risk Free Rate + Beta * (Market Risk Premium)

New Expected Rate of Return = 5% + 1.80 * 6%

New Expected Rate of Return = 15.80% (Increased by 1%)

New Market Return = Slope of SML + Risk Free Rate = 6% + 5% = 11% (Increased by 1%)

Thus Both rM and ri will Increase by 1 percentage point.

Now assume that rRF remains at 4%, but rM increases to 11%. The slope of the SML does not remain constant. How would these changes affect ri? Round your answer to one decimal place.

New Expected Rate of return = Risk Free Rate + Beta * (Market Risk Premium)

New Expected Rate of return = 4% + 1.80 * 7% = 16.60%

Now assume that rRF remains at 4%, but rM falls to 9%. The slope of the SML does not remain constant. How would these changes affect ri? Round your answer to one decimal place.

New Expected Rate of return = Risk Free Rate + Beta * (Market Risk Premium)

New Expected Rate of return = 4% + 1.80 * 5% = 13.00%

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