Fight Finance

(a) 0.20

(b) 1.20

(c) 1.80

(d) 2.25

(e) 2.80

(a) 0, so ##V_0=\dfrac{C_5}{r}##

(b) 1, so ##V_1=\dfrac{C_5}{r}##

(c) 4, so ##V_4=\dfrac{C_5}{r}##

(d) 5, so ##V_5=\dfrac{C_5}{r}##

(e) 6, so ##V_6=\dfrac{C_5}{r}##

(a) $100

(b) $115.16

(c) $136.63

(d) $161.05

(e) $185.47

(a) AUD 0.2 million.

(b) AUD 0.8 million

(c) AUD 1 million

(d) AUD 1.25 million.

(e) AUD 1.8 million.

(a) $758.30

(b) $773.62

(c) $889.87

(d) $944.90

(e) $1,003.33

(a) All people prefer more rather than less wealth which is rational.

(b) Mr Blue is risk averse, Miss Red is risk neutral and Mrs Green is risk loving.

(c) Mr Blue's certainty equivalent of the gamble is $225. This is less than his current $500 which is why he would dislike the gamble.

(d) Miss Red's certainty equivalent of the gamble is $500. This is the same as her current $500 which is why she would be indifferent to gambling.

(e) Mrs Green's certainty equivalent of the gamble is $793.70. This is more than her current $500 which is why she would like the gamble.

(a) Prices, ##P_1##.

(b) Gross discrete returns per annum, ##r_{\text{gdr 0 }\rightarrow \text{ 1}} = \dfrac{P_1}{P_0} ##.

(c) Effective annual returns per annum also known as net discrete returns, ##r_{\text{eff 0 }\rightarrow \text{ 1}} = \dfrac{P_1 - P_0}{P_0} = \dfrac{P_1}{P_0}-1##.

(d) Continuously compounded returns per annum, ##r_{\text{cc 0 }\rightarrow \text{ 1}} = \ln \left( \dfrac{P_1}{P_0} \right)##.

(e) Annualised percentage rates compounding per month, ##r_{\text{apr comp monthly 0 }\rightarrow \text{ 1 mth}} = \left( \dfrac{P_1 - P_0}{P_0} \right) \times 12##.

(a) The market portfolio M has systematic risk only. It’s a fully diversified portfolio comprised of all individual risky assets. The market portfolio is usually assumed to be the equity index, such as the ASX200 in Australia or the S&P500 in the US.

(b) The risk free security has no risk at all. Government bonds are usually assumed to be the risk-free security.

(c) Portfolio combinations of the market portfolio and risk free security will plot on the CML and will have systematic risk only. They will have no diversifiable risk.

(d) The portfolios on the CML with a return above ##r_f## have maximum return for any given level of risk.

(e) The individual assets and portfolios with returns less than the risk free rate are over-priced, have a negative Jensen’s alpha and should be sold.

(a) Americans

(b) Chinese

(c) Japanese

(d) Germans

(e) Norwegians

(a) The equation of Adam’s production possibilities line is coconuts = -7/6*dates + 7.

(b) The equation of Bella’s production possibilities line is coconuts = -3/5*dates + 5

(c) Adam could pick 2 dates and 4.667 coconuts in one hour.

(d) Bella could pick 2 dates and 1.8 coconuts in one hour.