Fight Finance

Question 19  fully amortising loan, APR

You want to buy an apartment priced at $300,000. You have saved a deposit of $30,000. The bank has agreed to lend you the $270,000 as a fully amortising loan with a term of 25 years. The interest rate is 12% pa and is not expected to change.

What will be your monthly payments? Remember that mortgage loan payments are paid in arrears (at the end of the month).

(a) 900

(b) 2,700

(c) 2,722.1

(d) 2,843.71

(e) 34,424.99

Question 54  NPV, DDM

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs)	0	1	2	3	4	...
Dividend ($)	0.00	1.15	1.10	1.05	1.00	...

After year 4, the annual dividend will grow in perpetuity at -5% pa. Note that this is a negative growth rate, so the dividend will actually shrink. So,

• the dividend at t=5 will be ##$1(1-0.05) = $0.95##,
• the dividend at t=6 will be ##$1(1-0.05)^2 = $0.9025##, and so on.

The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What is the current price of the stock?

(a) $7.2968

(b) $7.5018

(c) $7.6667

(d) $7.7522

(e) $9.4101

Question 397  financial distress, leverage, capital structure, NPV

A levered firm has a market value of assets of $10m. Its debt is all comprised of zero-coupon bonds which mature in one year and have a combined face value of $9.9m.

Investors are risk-neutral and therefore all debt and equity holders demand the same required return of 10% pa.

Therefore the current market capitalisation of debt ##(D_0)## is $9m and equity ##(E_0)## is $1m.

A new project presents itself which requires an investment of $2m and will provide a:

• $6.6m cash flow with probability 0.5 in the good state of the world, and a
• -$4.4m (notice the negative sign) cash flow with probability 0.5 in the bad state of the world.

The project can be funded using the company's excess cash, no debt or equity raisings are required.

What would be the new market capitalisation of equity ##(E_\text{0, with project})## if shareholders vote to proceed with the project, and therefore should shareholders proceed with the project?

(a) $2.5m, so they should vote yes.

(b) $2.045455m, so they should vote yes.

(c) $0.9m, so they should vote no.

(d) $0, so they should vote no.

(e) -$0.9m, so they should vote no.

Question 414  PE ratio, pay back period, no explanation

A mature firm has constant expected future earnings and dividends. Both amounts are equal. So earnings and dividends are expected to be equal and unchanging.

Which of the following statements is NOT correct?

(a) This firm's expected capital return equals zero.

(b) This firm's expected total return and income return are equal.

(c) This firm's forward looking PE ratio will equal the inverse of the firm's expected income return.

(d) This firm's forward looking PE ratio will equal the inverse of the firm's expected capital return.

(e) This firm's forward looking PE ratio is equal to the expected payback period, which is the time it will take for the sum of the cash flows to equal the share price.

Question 511  capital budgeting, CFFA

Find the cash flow from assets (CFFA) of the following project.

One Year Mining Project Data
Project life	1 year
Initial investment in building mine and equipment	$9m
Depreciation of mine and equipment over the year	$8m
Kilograms of gold mined at end of year	1,000
Sale price per kilogram	$0.05m
Variable cost per kilogram	$0.03m
Before-tax cost of closing mine at end of year	$4m
Tax rate	30%

Note 1: Due to the project, the firm also anticipates finding some rare diamonds which will give before-tax revenues of $1m at the end of the year.

Note 2: The land that will be mined actually has thermal springs and a family of koalas that could be sold to an eco-tourist resort for an after-tax amount of $3m right now. However, if the mine goes ahead then this natural beauty will be destroyed.

Note 3: The mining equipment will have a book value of $1m at the end of the year for tax purposes. However, the equipment is expected to fetch $2.5m when it is sold.

Find the project's CFFA at time zero and one. Answers are given in millions of dollars ($m), with the first cash flow at time zero, and the second at time one.

(a) -9,   15.65

(b) -9,   14.3

(c) -12,   16.8

(d) -12,   16.35

(e) -12,   14.3

Question 564  covariance

What is the covariance of a variable X with a constant C?

The cov(X, C) or ##\sigma_{X,C}## equals:

(a) var(X) or ##\sigma_X^2##

(b) sd(X) or ##\sigma_X##

(c) 1

(d) 0

(e) Mathematically undefined

Question 729  book and market values, balance sheet, no explanation

If a firm makes a profit and pays no dividends, which of the firm’s accounts will increase?

(a) Asset revaluation reserve.

(b) Foreign currency translation reserve.

(c) Retained earnings, also known as retained profits.

(d) Contributed equity, also known as paid up capital.

(e) General reserve.

Question 752  IRR, NPV

All other things remaining equal, a project is worse if its:

(a) IRR is lower.

(b) Discount rate is lower.

(c) NPV is higher.

(d) Positive cash flows occur sooner.

(e) Negative cash flows occur later.

Question 868  cash cycle

What is the Cash Conversion Cycle for a firm with a:

• Payables period of 1 day;
• Inventory period of 50 days; and
• Receivables period of 30 days?

All answer options are in days:

(a) 19

(b) 21

(c) 79

(d) 80

(e) 81

Question 907  continuously compounding rate, return types, return distribution, price gains and returns over time

For an asset's price to double from say $1 to $2 in one year, what must its continuously compounded return ##(r_{CC})## be? If the price now is ##P_0## and the price in one year is ##P_1## then the continuously compounded return over the next year is:

###r_\text{CC annual} = \ln{\left[ \dfrac{P_1}{P_0} \right]} = \text{LGDR}_\text{annual}###

(a) 0%

(b) 30.102999566%

(c) 69.314718056%

(d) 100%

(e) 200%