Fight Finance

Question 10  DDM

For a price of $95, Sherylanne will sell you a share which is expected to pay its first dividend of $10 in 7 years (t=7), and will continue to pay the same $10 dividend every year after that forever.

The required return of the stock is 10% pa.

Would you like to the share or politely ?

Question 14  bond pricing

For a price of $100, Andrea will sell you a 2 year bond paying annual coupons of 10% pa. The face value of the bond is $100. Other bonds with the same risk, maturity and coupon characteristics trade at a yield of 6% pa.

Would you like to the bond or politely ?

Question 129  debt terminology

An 'interest rate' is the same thing as a 'coupon rate'. or ?

Question 331  DDM, income and capital returns

The following equation is the Dividend Discount Model, also known as the 'Gordon Growth Model' or the 'Perpetuity with growth' equation.

### p_0= \frac{c_1}{r-g} ###

Which expression is equal to the expected dividend return?

(a) ##(c_1/p_0 ) -1##

(b) ##(p_1/p_0) -1##

(c) ##(c_5/c_4) -1##

(d) ##c_3/p_2##

(e) ##(p_1-p_0)/p_0##

Question 530  Annuity, annuity due, no explanation

You are promised 20 payments of $100, where the first payment is immediate (t=0) and the last is at the end of the 19th year (t=19). The effective annual discount rate is ##r##.

Which of the following equations does NOT give the correct present value of these 20 payments?

(a) ##V_0=\dfrac{\dfrac{100}{r} \left( 1- \dfrac{1}{(1+r)^{20}} \right) }{(1+r)^1} ##

(b) ##V_0=\dfrac{100}{r} \left( 1- \dfrac{1}{(1+r)^{20}} \right) (1+r)^1##

(c) ##V_0=\dfrac{100}{r} \left( 1- \dfrac{1}{(1+r)^{19}} \right) +100##

(d) ##V_0=\dfrac{100(1+r)^1}{r} \left( 1- \dfrac{1}{(1+r)^{20}} \right) ##

(e) ##V_0=100 \left( 1-(1+r)^{-19} \right) r^{-1}+100##

Question 586  option

Which one of the following statements about option contracts is NOT correct?

(a) Option premium is another name for option price.

(b) An option contract's price is always changing.

(c) Strike price is another name for exercise price.

(d) An option contract's strike price is always changing.

(e) Call and put option premiums are paid at the start when the option is bought. Call option exercise prices are paid when they are exercised, usually at maturity.

Question 696  utility, risk aversion, utility function

Mr Blue, Miss Red and Mrs Green are people with different utility functions. Which of the statements about the 3 utility functions is NOT correct?

(a) Mr Blue prefers more wealth to less. Mrs Green enjoys losing wealth.

(b) Miss Red has the same utility no matter how much wealth she has.

(c) Mr Blue is risk averse.

(d) Miss Red is risk averse.

(e) Mrs Green is risk loving.

Question 765  bond pricing, no explanation

An investor bought a 5 year government bond with a 2% pa coupon rate at par. Coupons are paid semi-annually. The face value is $100.

Calculate the bond's new price 8 months later after yields have increased to 3% pa. Note that both yields are given as APR's compounding semi-annually. Assume that the yield curve was flat before the change in yields, and remained flat afterwards as well.

(a) $95.345378

(b) $95.819741

(c) $96.138082

(d) $96.296464

(e) $96.775559

Question 794  option, Black-Scholes-Merton option pricing, option delta, no explanation

Which of the following quantities from the Black-Scholes-Merton option pricing formula gives the Delta of a European call option?

(a) ##N[d_1]##

(b) ##N[d_2]##

(c) ##−N[−d_1]##

(d) ##−N[−d_2]##

(e) ##N[−d_2]##

Where:

###d_1=\dfrac{\ln⁡[S_0/K]+(r+\sigma^2/2).T)}{\sigma.\sqrt{T}}### ###d_2=d_1-\sigma.\sqrt{T}=\dfrac{\ln⁡[S_0/K]+(r-\sigma^2/2).T)}{\sigma.\sqrt{T}}###

Question 946  stock split, bonus issue, stock dividend

A 1-for-4 bonus issue is equivalent to a 4-for-1 stock split or a 25% stock dividend. or ?