Fight Finance

(a) $15,400,000.00

(b) $8,371,559.63

(c) $962,757.81

(d) $962,045.33

(e) $64,935.06

(a) Only III is true.

(b) Only II and III are true.

(c) Only I, II and III are true.

(d) Only IV is true.

(e) Either I, II and III are true, or IV is true, or they are all true.

(a) Dividend growth rate is equal to the long term expected growth rate of the stock price.

(b) Dividend growth rate is equal to the long term expected capital return of the stock.

(c) Dividend growth rate is equal to the long term expected dividend yield.

(d) Total return of the stock is equal to its long term required return.

(e) Total return of the stock is equal to the company's long term cost of equity.

(a) ##\sigma_\text{annual} = 0.09 \times 5 + 0.14 \times 7##

(b) ##\sigma_\text{annual} = (0.09 \times 5 + 0.14 \times 7)^{1/2}##

(c) ##\sigma_\text{annual} = (0.09^2 \times 5 + 0.14^2 \times 7)^{1/2}##

(d) ##\sigma_\text{annual} = (1+0.09)^5\times (1+0.14)^7 - 1##

(e) ##\sigma_\text{annual} = \left( \dfrac{0.09^2 \times 5 + 0.14^2 \times 7}{12} \right)^{1/2}##

(a) Point A.

(b) Point B.

(c) Point C.

(d) Any of the points.

(e) None of the points.

(a) $13.50

(b) $15.00

(c) $30.00

(d) $31.50

(e) $45.00

(a) ##-100+ \dfrac{ \dfrac{10}{0.1} \left(1-\dfrac{1}{(1+0.1)^3} \right)}{(1+0.1)^2} +\dfrac{\left(\dfrac{10}{0.1-0.05}\right)}{(1+0.1)^5} ##

(b) ##-100+ \dfrac{10}{(1+0.1)^3} +\dfrac{10}{(1+0.1)^4} +\dfrac{10}{(1+0.1)^5} +\dfrac{\left(\dfrac{10}{0.1-0.05}\right)}{(1+0.1)^5} ##

(c) ##-100+ \dfrac{ \dfrac{10}{0.1} \left(1-\dfrac{1}{(1+0.1)^4} \right)}{(1+0.1)^2} +\dfrac{\left(\dfrac{10.5}{0.1-0.05}\right)}{(1+0.1)^6} ##

(d) ##-100+ \dfrac{10}{(1+0.1)^3} +\dfrac{10}{(1+0.1)^4} +\dfrac{10}{(1+0.1)^5} +\dfrac{10}{(1+0.1)^6} +\dfrac{\left(\dfrac{10.5}{0.1-0.05}\right)}{(1+0.1)^6} ##

(e) ##-100+ \dfrac{ \dfrac{10}{0.1} \left(1-\dfrac{1}{(1+0.1)^3} \right)}{(1+0.1)^3} +\dfrac{\left(\dfrac{10}{0.1-0.05}\right)}{(1+0.1)^5} ##

If a stock's future expected effective annual returns are log-normally distributed, what will be bigger, the stock's or effective annual return? Or would you expect them to be ?

(a) If the underlying stock price suddenly rose by $0.01, the put option price would be expected to fall by less than $0.00552034777953178.

(b) If the underlying stock price suddenly fell by $0.01, the put option price would be expected to rise by more than $0.00552034777953178.

(c) If the underlying stock price suddenly rose by $0.01, the call option price would be expected to rise by more than $0.00888138404936379.

(d) To Delta hedge the 1000 long put options, long 552.0348 stocks.

(e) To Delta and Gamma hedge the 1000 long put options, long 2078.4226 call options and short 2397.9617 stocks.

(a) You have the right to buy the underlying stock in 3 months’ time for a price of $50 if you want.

(b) If the dividend in 4 months were unexpectedly cancelled because the firm decided to re-invest its cash rather than pay it out then the 3 month call option price would be unaffected.

(c) If the stock price is $49 in 3 months then you wouldn’t exercise the ‘out of the money’ option.

(d) If the stock price is $51 in 3 months then you wouldn’t exercise or else you’ll incur a loss of $3.

(e) If the stock price is $57 in 3 months then you would exercise. Your profit would be $3 and payoff at maturity $7.