Fight Finance

Question 41  DDM, income and capital returns

The following is the Dividend Discount Model (DDM) used to price stocks:

### P_0 = \frac{d_1}{r-g} ###

Assume that the assumptions of the DDM hold and that the time period is measured in years.

Which of the following is equal to the expected dividend in 3 years, ## d_3 ##?

(a) ## d_1(1+g)^3 ##

(b) ## P_3(r-g) ##

(c) ## d_2(1+g)^2 ##

(d) ## P_0(1+g)^3(r-g) ##

(e) ## P_0(1+g)^2(r-g) ##

Question 212  rights issue

In mid 2009 the listed mining company Rio Tinto announced a 21-for-40 renounceable rights issue. Below is the chronology of events:

• 04/06/2009. Share price opens at $69.00 and closes at $66.90.

• 05/06/2009. 21-for-40 rights issue announced at a subscription price of $28.29.

• 16/06/2009. Last day that shares trade cum-rights. Share price opens at $76.40 and closes at $75.50.

• 17/06/2009. Shares trade ex-rights. Rights trading commences.

All things remaining equal, what would you expect Rio Tinto's stock price to open at on the first day that it trades ex-rights (17/6/2009)? Ignore the time value of money since time is negligibly short. Also ignore taxes.

(a) $28.29

(b) $35.8625

(c) $44.5426

(d) $47.2100

(e) $59.2473

Question 260  DDM

A share just paid its semi-annual dividend of $5. The dividend is expected to grow at 1% every 6 months forever. This 1% growth rate is an effective 6 month rate.

Therefore the next dividend will be $5.05 in six months. The required return of the stock 8% pa, given as an effective annual rate.

What is the price of the share now?

(a) $71.4286

(b) $72.1429

(c) $84.3072

(d) $85.1503

(e) $172.7648

Question 332  bond pricing, premium par and discount bonds

Bonds X and Y are issued by the same US company. Both bonds yield 6% pa, and they have the same face value ($100), maturity, seniority, and payment frequency.

The only difference is that bond X pays coupons of 8% pa and bond Y pays coupons of 12% pa. Which of the following statements is true?

(a) Bonds X and Y are premium bonds.

(b) Bonds X and Y are discount bonds.

(c) Bond X is a discount bond but bond Y is a premium bond.

(d) Bond X is a premium bond but bond Y is a discount bond.

(e) Bonds X and Y are par bonds.

Question 371  interest tax shield, CFFA

One method for calculating a firm's free cash flow (FFCF, or CFFA) is to ignore interest expense. That is, pretend that interest expense ##(IntExp)## is zero:

###\begin{aligned} FFCF &= (Rev - COGS - Depr - FC - IntExp)(1-t_c) + Depr - CapEx -\Delta NWC + IntExp \\ &= (Rev - COGS - Depr - FC - 0)(1-t_c) + Depr - CapEx -\Delta NWC - 0\\ \end{aligned}###

Does this annual FFCF with zero interest expense or the annual interest tax shield?

Question 552  bond pricing, income and capital returns

An investor bought a 10 year 2.5% pa fixed coupon government bond priced at par. The face value is $100. Coupons are paid semi-annually and the next one is in 6 months.

Six months later, just after the coupon at that time was paid, yields suddenly and unexpectedly fell to 2% pa. Note that all yields above are given as APR's compounding semi-annually.

What was the bond investors' historical total return over that first 6 month period, given as an effective semi-annual rate?

(a) 0.067872

(b) 0.055565

(c) 0.043065

(d) 0.030565

(e) 0.0075

Question 702  utility, risk aversion, utility function, gamble

Mr Blue, Miss Red and Mrs Green are people with different utility functions.

Each person has $50 of initial wealth. A coin toss game is offered to each person at a casino where the player can win or lose $50. Each player can flip a coin and if they flip heads, they receive $50. If they flip tails then they will lose $50. Which of the following statements is NOT correct?

(a) Mr Blue would enjoy the gamble.

(b) Miss Red would be indifferent to gambling or not.

(c) Mrs Green would dislike the gamble.

(d) Mr Blue's certainty equivalent of the risky gamble is $70.71. This is more than his current wealth which is why he would like to gamble.

(e) Miss Red's certainty equivalent of the risky gamble is $50. This is the same as her current wealth which is why she is indifferent to gambling or not.

Question 750  PE ratio, Multiples valuation

Itau Unibanco is a major listed bank in Brazil with a market capitalisation of equity equal to BRL 85.744 billion, EPS of BRL 3.96 and 2.97 billion shares on issue.

Banco Bradesco is another major bank with total earnings of BRL 8.77 billion and 2.52 billion shares on issue.

Estimate Banco Bradesco's current share price using a price-earnings multiples approach assuming that Itau Unibanco is a comparable firm.

Note that BRL is the Brazilian Real, their currency. Figures sourced from Google Finance on the market close of the BVMF on 24 July 2015.

(a) BRL 28.87

(b) BRL 25.372

(c) BRL 22.1

(d) BRL 21.653

(e) BRL 21.528

Question 859  money supply, no explanation

The below table shows Australian monetary aggregates. Note that ‘M3’ is the sum of all the figures in the table and ‘ADI’ stands for Authorised Deposit-taking Institution such as a bank, building society or credit union.

Australian Monetary Aggregates
March 2017, AUD billions
Currency	Current deposits with banks	Certificates of deposit issued by banks	Term deposits with banks	Other deposits with banks	Deposits with non-bank ADIs	M3
69.3	271.6	207.2	562.3	838.7	36.9	1986.0

 

Source: RBA Statistical Table D3 Monetary Aggregates.

Which of the following statements is NOT correct?

(a) Current deposits are the notes and coins that banks keep in their physical vaults and Automatic Teller Machines (ATM’s).

(b) Current deposits with banks pay little interest to depositors but are highly liquid since they can be withdrawn using ATM’s.

(c) The government directly controls the amount of notes and coins.

(d) The central bank indirectly controls the amount of deposits by changing the cash rate.

(e) When a commercial bank lends money to a borrower to buy a house, that money is likely to be deposited by the house seller into another bank.

Question 913  bill pricing, money market

A 90 day bank bill has a face value of $100,000.

Investor A bought the bill when it was first issued at a simple yield to maturity of 3% pa and sold it 20 days later to Investor B who expected to earn a simple yield to maturity of 5% pa. Investor B held it until maturity.

Which of the following statements is NOT correct?

(a) The bill’s initial price was $99,265.71.

(b) The bill’s price on day 20 was $99,726.78.

(c) The historical yield on day 20 since the bond was first issued was -3.9620% pa.

(d) Other similar bill yields to maturity would have also risen over the first 20 days.

(e) Investor B paid a bill price on day 20 that was less than the face value.