Fight Finance

Question 179  bond pricing, capital raising

A firm wishes to raise $20 million now. They will issue 8% pa semi-annual coupon bonds that will mature in 5 years and have a face value of $100 each. Bond yields are 6% pa, given as an APR compounding every 6 months, and the yield curve is flat.

How many bonds should the firm issue?

(a) 140,202

(b) 184,280

(c) 184,460

(d) 186,881

(e) 200,000

Question 286  bill pricing

A 30-day Bank Accepted Bill has a face value of $1,000,000. The interest rate is 2.5% pa and there are 365 days in the year. What is its price now?

(a) $997,972.5283

(b) $997,949.4190

(c) $995,926.1048

(d) $975,609.7561

(e) $973,609.1893

Question 296  CFFA, interest tax shield

Which one of the following will decrease net income (NI) but increase cash flow from assets (CFFA) in this year for a tax-paying firm, all else remaining constant?

Remember:

###NI=(Rev-COGS-FC-Depr-IntExp).(1-t_c )### ###CFFA=NI+Depr-CapEx - ΔNWC+IntExp###

(a) An increase in revenue (##Rev##).

(b) An decrease in revenue (##Rev##).

(c) An increase in rent expense (part of fixed costs, ##FC##).

(d) An increase in interest expense (##IntExp##).

(e) An increase in dividends.

Question 550  fully amortising loan, interest only loan, APR

Many Australian home loans that are interest-only actually require payments to be made on a fully amortising basis after a number of years.

You decide to borrow $600,000 from the bank at an interest rate of 4.25% pa for 25 years. The payments will be interest-only for the first 10 years (t=0 to 10 years), then they will have to be paid on a fully amortising basis for the last 15 years (t=10 to 25 years).

Assuming that interest rates will remain constant, what will be your monthly payments over the first 10 years from now, and then the next 15 years after that? The answer options are given in the same order.

(a) $3,250.43,     $4,513.67

(b) $3,250.43,     $1,530.28

(c) $2,125,     $4,513.67

(d) $2,125,     $3,250.43

(e) $1,530.28,     $3,250.43

Question 637  option, option payoff at maturity, no explanation

Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being short a call option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.

(a) ##f_{SC,T}=max⁡(S_T-X_T,0)##

(b) ##f_{SC,T}=max⁡(X_T-S_T,0)##

(c) ##f_{SC,T}=-max⁡(S_T-X_T,0)##

(d) ##f_{SC,T}=-max⁡(X_T-S_T,0)##

(e) ##f_{SC,T}=min⁡(X_T-S_T,0)##

Question 691  continuously compounding rate, effective rate, continuously compounding rate conversion, no explanation

A bank quotes an interest rate of 6% pa with quarterly compounding. Note that another way of stating this rate is that it is an annual percentage rate (APR) compounding discretely every 3 months.

Which of the following statements about this rate is NOT correct? All percentages are given to 6 decimal places. The equivalent:

(a) Continuously compounded rate is 5.955445% per annum. Note that this rate is the annual rate with continuous compounding.

(b) Continuously compounded rate is 1.500000% per quarter. Note that this rate is the quarterly rate with continuous compounding.

(c) Effective quarterly rate is 1.500000% per quarter. Note that this rate is the quarterly rate with discrete quarterly compounding.

(d) Effective annual rate is 6.136355% per annum. Note that this rate is the annual rate with discrete annual compounding.

(e) $1,000,000 invested in this bank account for one year will give $1,061,363.551 at the end of the year.

Question 748  income and capital returns, DDM, ex dividend date

A stock will pay you a dividend of $2 tonight if you buy it today.

Thereafter the annual dividend is expected to grow by 3% pa, so the next dividend after the $2 one tonight will be $2.06 in one year, then in two years it will be $2.1218 and so on. The stock's required return is 8% pa.

What is the stock price today and what do you expect the stock price to be tomorrow, approximately?

(a) $40 tonight and $38 tomorrow.

(b) $41.2 tonight and $39.2 tomorrow.

(c) $41.2 tonight and $43.2 tomorrow.

(d) $43.2 tonight and $41.2 tomorrow.

(e) $45.2 tonight and $43.2 tomorrow.

Question 759  time calculation, fully amortising loan, no explanation

Five years ago you entered into a fully amortising home loan with a principal of $500,000, an interest rate of 4.5% pa compounding monthly with a term of 25 years.

Then interest rates suddenly fall to 3% pa (t=0), but you continue to pay the same monthly home loan payments as you did before. How long will it now take to pay off your home loan? Measure the time taken to pay off the home loan from the current time which is 5 years after the home loan was first entered into.

Assume that the lower interest rate was given to you immediately after the loan repayment at the end of year 5, which was the 60th payment since the loan was granted. Also assume that rates were and are expected to remain constant.

(a) 240 months, which is 20 years.

(b) 202 months, which is 16 years and 10 months.

(c) 168 months, which is 14 years.

(d) 152 months, which is 12 years and 8 months.

(e) 117 months, which is 9 years and 9 months.

Question 804  CFFA, WACC, interest tax shield, DDM

Use the below information to value a levered company with annual perpetual cash flows from assets that grow. The next cash flow will be generated in one year from now. Note that ‘k’ means kilo or 1,000. So the $30k is $30,000.

Data on a Levered Firm with Perpetual Cash Flows
Item abbreviation	Value	Item full name
##\text{OFCF}##	$30k	Operating free cash flow
##g##	1.5% pa	Growth rate of OFCF
##r_\text{D}##	4% pa	Cost of debt
##r_\text{EL}##	16.3% pa	Cost of levered equity
##D/V_L##	80% pa	Debt to assets ratio, where the asset value includes tax shields
##t_c##	30%	Corporate tax rate
##n_\text{shares}##	100k	Number of shares

 

Which of the following statements is NOT correct?

(a) The WACC before tax is 6.46% pa.

(b) The WACC after tax is 5.50% pa.

(c) The current levered asset value including tax shields is $603.839k.

(d) The current debt value is $600k and the interest tax shield benefit over the first year is $7.2k (at t=1).

(e) The current share price is $1.50.

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.