Fight Finance

(a) $27.7567

(b) $24.1226

(c) $23.5680

(d) $22.4457

(e) $3.6341

(a) 0.4368

(b) 0.4911

(c) 0.6331

(d) 0.6564

(e) 0.7348

(a) $10.15 share price and 4m shares on issue.

(b) $11.6279 share price and 4.3m shares on issue.

(c) $7.72 share price and 5m shares on issue.

(d) $9.3 share price and 4m shares on issue.

(e) $9.65 share price and 4m shares on issue.

(a) 20

(b) 10

(c) 3

(d) 2

(e) 0.5

(a) Percentage points per annum ##(\text{pp pa})## and percentage points per annum ##(\text{pp pa})##.

(b) Percentage points per annum ##(\text{pp pa})## and percentage points per annum all squared ##\left( (\text{pp pa})^2 \right)##.

(c) Percentage points per annum all squared ##\left( (\text{pp pa})^2 \right)## and percentage points per annum ##(\text{pp pa})##.

(d) Percentage points per annum all squared ##\left( (\text{pp pa})^2 \right)## and percentage points per annum all squared ##\left( (\text{pp pa})^2 \right)##.

(e) Percentage points per annum all squared ##\left( (\text{pp pa})^2 \right)## and a pure number with no units.

(a) A long call option's payoff at maturity is equal to the maximum of zero or the underlying asset price at maturity minus the exercise price. ##f_\text{T,LC} = max(S_T - K, 0)##

(b) A long call option's profit is equal to the payoff at maturity less the initial option price. ##\pi_\text{LC} = max(S_T - K, 0) - c_0##

(c) The breakeven price is the underlying asset price at which a long option contract gives zero profit. When ##max(S_T - K, 0) - c_0 = 0##, then ##S_T = K+c_0##.

(d) A call option's break-even price is always more than its strike price.

(e) Call options should only be exercised at maturity if the underlying asset price is above the break-even price.

(a) Borrow $636.3636 and use it to buy 0.9091 ounces of gold right now (t=0). Then pay back the loan with $700 at the end (t=1).

(b) Borrow $700 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $770 at the end (t=1).

(c) Borrow $727.2727 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $800 at the end (t=1).

(d) Borrow $800 and use it to buy 1.1039 ounces of gold right now (t=0). Then pay back the loan with $880 at the end (t=1).

(e) Borrow $880 and use it to buy 1 ounce of gold right now (t=0). Then pay back the loan with $800 at the end (t=1).

(a) The returns ##r_\text{t monthly}## are continuously compounded monthly returns and are likely to be normally distributed, so the mean, median and mode of these continuously compounded returns are all equal to 1% per month.

(b) The annualised average continuously compounded return is ##\bar{r}_\text{cc annual}=12×0.01=0.1=12\%\text{ pa}##. The annualised standard deviation is ##\sigma_\text{annual} = \sqrt{12}×0.05=0.173205081=17.32\%\text{ pa}##.

(c) Over the next 10 years the mean, median and mode continuously compounded 10 year returns will all equal ##0.01 \times 12 \times 10 = 120\%##.

(d) Over the next 10 years the expected mean gross discrete 10 year return is ##e^{(0.01 - 0.05^2/2)×12×10} = 2.857651118## and the median gross discrete 10 year return is ##e^{(0.01 + 0.05^2/2)×12×10}=3.857425531##.

(e) If the current price of the CBA shares is $75, then in 10 years they’re expected to have a mean value of ##75×e^{(0.01 + 0.05^2/2)×12×10} = 289.3069148## and a median value of ##75×e^{0.01×12×10}=249.0087692##.

(a) Expected total return will equal its required total return if the stock is fairly priced.

(b) Expected total return will be less than its required total return if the stock is over-priced.

(c) Required total return should be higher than the risk free government bond yield if the stock has a positive beta.

(d) Required total return depends on its total variance, required capital return depends on systematic variance and the dividend yield depends on idiosyncratic variance.

(e) Expected capital return equals the expected total return less whatever the management decide that they will pay as an income return (which is the dividend yield).