Fight Finance

(a) The internal rate of return (IRR) of buying a fairly priced bond is equal to the bond's yield.

(b) The Present Value of a fairly priced bond's coupons and face value is equal to its price.

(c) If a fairly priced bond's required return rises, its price will fall.

(d) Fairly priced premium bonds' yields are less than their coupon rates, prices are more than their face values, and the NPV of buying them is therefore positive.

(e) The NPV of buying a fairly priced bond is zero.

(a) 0.75

(b) 0.833333333

(c) 1

(d) 1.166666667

(e) 1.4

(a) The expected dividend in 3 years will be: ##d_3 = d_1 (1+g)^2##.

(b) The expected price in 3 years will be: ##p_3 = p_0 (1+g)^3##.

(c) The expected effective 3 year total return measured over 3 years is equal to: ##r_{\text{total, 0}\rightarrow\text{3yr, eff 3yr}} = (1+r)^3-1##.

(d) The expected effective 3 year total return measured over 3 years will be: ##r_{\text{total, 0}\rightarrow\text{3yr, eff 3yr}} = \dfrac{p_3-p_0+d_3}{p_0}##.

(e) The expected effective annual dividend yield will be: ##r_{\text{dividend, 0}\rightarrow\text{3yr, eff annual}} = \dfrac{d_1}{p_0}##.

After one year, would you be able to buy , exactly the as or than today with the money in this account?

(a) Less than its expected total return.

(b) Equal to its expected total return.

(c) More than its expected total return.

(d) More than its coupon rate.

(e) Equal to its coupon rate.

(a) ##f_{SP,T}=max⁡(S_T-X_T,0)##

(b) ##f_{SP,T}=max⁡(X_T-S_T,0)##

(c) ##f_{SP,T}=-max⁡(S_T-X_T,0)##

(d) ##f_{SP,T}=-max⁡(X_T-S_T,0)##

(e) ##f_{SP,T}=min⁡(X_T-S_T,0)##

(a) The geometric average of the gross discrete returns (GAGDR) equals 1.04075 which is 104.075%.

(b) ##\exp \left( \text{GAGDR} \right) = \text{AALGDR}##. The natural exponent of the GAGDR equals the arithmetic average of the logarithms of the gross discrete returns (AALGDR).

(c) ##\text{GAGDR}^T = \left( P_T/P_0 \right)##. The GAGDR raised to the power of the number of time period that it's measured over equals the ratio of the first and last prices.

(d) ##\text{GAGDR} = \exp \left( \text{AALGDR} \right)##. This is always true, regardless of the distribution of the prices or returns. The logarithm of the geometric average of the gross discrete returns (LGAGDR) is always equal to the arithmetic average of the logarithm of the gross discrete returns (AALGDR).

(e) ##\text{AAGDR} \approx \exp \left( \text{AALGDR} + \text{SDLGDR}^2/2 \right)##. This is only approximately true and depends on the distribution of the prices and returns. It's asymptotically true as the time period that the returns are measured over reaches infinity.

(a) 305,136

(b) 308,888

(c) 359,783

(d) 500,000

(e) 809,358

(a) Options are always worth more than or equal to equivalent European-style options.

(b) Call options on dividend-paying stocks should sometimes be exercised just before the dividend.

(c) Put options on dividend-paying stocks should sometimes be exercised just after the dividend.

(d) Call options should be exercised now if the intrinsic option value ##(S-K)## is greater than the expected present value of the option’s future payoffs.

(e) Put options should be exercised now if the intrinsic option value ##(K-S)## is less than the expected present value of the option’s future payoffs.

(a) 5% pa

(b) 8.5% pa

(c) 9% pa

(d) 10% pa

(e) 12% pa