Fight Finance

(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) I only.

(b) II only.

(c) III only.

(d) I and II.

(e) II and III.

(a) CHF 999,507.09

(b) CHF 1,000,000.00

(c) CHF 1,000,493.39

(d) CHF 1,002,004.01

(e) CHF 1,002,498.39

(a) ##V_0=\dfrac{C_t}{(1+r)^t} ##

(b) ##V_0=\dfrac{C_1}{r}.\left(1-\dfrac{1}{(1+r)^T} \right)= \sum\limits_{t=1}^T \left( \dfrac{C_t}{(1+r)^t} \right) ##

(c) ##V_0=\dfrac{C_1}{r-g}.\left(1-\left(\dfrac{1+g}{1+r}\right)^T \right)= \sum\limits_{t=1}^T \left( \dfrac{C_t.(1+g)^t}{(1+r)^t} \right) ##

(d) ##V_0=\dfrac{C_1}{r} = \sum\limits_{t=1}^\infty \left( \dfrac{C_t}{(1+r)^t} \right) ##

(e) ##V_0=\dfrac{C_1}{r-g} = \sum\limits_{t=1}^\infty \left( \dfrac{C_t.(1+g)^t}{(1+r)^t} \right) ##

(a) 64%

(b) 40%

(c) 37.5%

(d) 25%

(e) 6.25%

(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) ##F_2=11.5027, V_0=0, V_{0.5}=1.5715##

(b) ##F_2=11.5027, V_0=0, V_{0.5}=1.8258##

(c) ##F_2=12.9693, V_0=0, V_{0.5}=1.3218##

(d) ##F_2=12.9693, V_0=0, V_{0.5}=1.3896##

(e) ##F_2=12.9693, V_0=0, V_{0.5}=1.6144##

(a) You have a debt asset.

(b) The bank sold you its promise to pay back interest and principal payments.

(c) The bank is exposed to your credit risk, it’s afraid that you’ll default on your debt.

(d) The interest income you’re paid is taxable income for you.

(e) The interest expense that the bank pays is tax-deductible for the bank.