I'm studying Financial Investment and Portfolio Management. please help me this homework with showings all calculations. Thank you very much

1. The market price of a NAB share is $24.85. Its expected rate of return is 9%. The risk-free rate is 1.10% and the market risk premium is 8%. What will the intrinsic value of the share be if its beta decreases by 20% and all other variables remain unchanged? Assume the share is expected to pay a constant dividend in perpetuity.

(a) $30 (b) $25 (c) $27 (d) $35

2. Peter is an analyst working for a major securities dealership. He sees that the Commonwealth Bank (CBA) recently paid a dividend of $7.40 per share. CBA pays dividends annually and is currently trading ex-dividend.

CBA has a trailing PE ratio of 11 and a current share price of $89.

What is the most recent EPS of CBA assuming there is no earnings dilution predicted?

(a) $8.10 (b) $0.50 (c) $7.40 (d) $0.70

3. Helen is an analyst working for a major securities dealership. She sees that the Left Bank recently paid a dividend of $2.00/share. The Left Bank pays dividends annually and is currently trading ex-dividend.

The company has a trailing PE ratio of 10 and the most recent EPS was $3.00.

What is the most recent retention (or plowback) ratio of the ANZ bank?

(a) 33% (b) 67% (c) 20% (d) 6%

4. The yield on Australian government bonds with 10 years to maturity is currently 1.5%, and the beta of Coles Ltd, the supermarket chain, is 0.4. Shareholders holding well diversified share portfolios are requiring a return of 10.25%. If you are an ordinary shareholder of Coles and you base your thinking on the Capital Asset Pricing Model, what is the required rate of return on the Coles ordinary shares? Assume there is no dividend imputation.

(a) 5.0% (b) 5.6% (c) 4.5% (d) 10.0%

5. Assume E1 is predicted to be $3.89 and the required return to equity (also called the capitalization rate or "k") is 10%. If the current share price is $42.25, how much is the present value of growth opportunities (PVGO)?

(a) $3.35 (b) $38.90 (c) 10% (d) $3.89