Fight Finance

Question 140  IRR, NPV, profitability index

A project has an internal rate of return (IRR) which is greater than its required return. Select the most correct statement.

(a) The NPV will be negative and the profitability index will be less than 1.

(b) The NPV will be positive and the profitability index will be more than 1.

(c) The payback period will be positive and the Accounting Rate of Return will be more than the target return.

(d) The NPV will be positive and the profitability index will be negative.

(e) The NPV will be negative and the profitability index will be positive.

Question 264  DDM

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

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

A stock pays dividends annually. It just paid a dividend, but the next dividend (##d_1##) will be paid in one year.

According to the DDM, what is the correct formula for the expected price of the stock in 2.5 years?

(a) ##P_{2.5}=P_0 (1+g)^{2.5} ##

(b) ##P_{2.5}=P_0 (1+r)^{2.5} ##

(c) ##P_{2.5}=P_0 (1+g)^2 (1+r)^{0.5} ##

(d) ##P_{2.5}=P_0 (1+r)^2 (1+g)^{0.5} ##

(e) ##P_{2.5}=P_0 (1+r)^3 (1+g)^{-0.5} ##

Question 313  foreign exchange rate, American and European terms

If the AUD appreciates against the USD, the American terms quote of the AUD will or ?

Question 369  interest tax shield, CFFA

One formula for calculating a levered firm's free cash flow (FFCF, or CFFA) is to use earnings before interest and tax (EBIT).

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

Does this annual FFCF or the annual interest tax shield?

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 532  mutually exclusive projects, NPV, IRR

An investor owns a whole level of an old office building which is currently worth $1 million. There are three mutually exclusive projects that can be started by the investor. The office building level can be:

• Rented out to a tenant for one year at $0.1m paid immediately, and then sold for $0.99m in one year.
• Refurbished into more modern commercial office rooms at a cost of $1m now, and then sold for $2.4m when the refurbishment is finished in one year.
• Converted into residential apartments at a cost of $2m now, and then sold for $3.4m when the conversion is finished in one year.

All of the development projects have the same risk so the required return of each is 10% pa. The table below shows the estimated cash flows and internal rates of returns (IRR's).

Mutually Exclusive Projects
Project	Cash flow now ($)	Cash flow in one year ($)	IRR (% pa)
Rent then sell as is	-900,000	990,000	10
Refurbishment into modern offices	-2,000,000	2,400,000	20
Conversion into residential apartments	-3,000,000	3,400,000	13.33

Which project should the investor accept?

(a) Rent then sell as is.

(b) Refurbishment into modern offices.

(c) Conversion into residential apartments.

(d) All of the above.

(e) Any of the above.

Question 547  PE ratio, Multiples valuation, DDM, income and capital returns, no explanation

A firm pays out all of its earnings as dividends. Because of this, the firm has no real growth in earnings, dividends or stock price since there is no re-investment back into the firm to buy new assets and make higher earnings. The dividend discount model is suitable to value this company.

The firm's revenues and costs are expected to increase by inflation in the foreseeable future. The firm has no debt. It operates in the services industry and has few physical assets so there is negligible depreciation expense and negligible net working capital required.

Which of the following statements about this firm's PE ratio is NOT correct? The PE ratio should:

(a) Equal the inverse of the firm's nominal income return.

(b) Equal the inverse of the firm's real total return.

(c) Equal the inverse of the firm's real capital return.

(d) Equal the expected payback period of an investor who intends to buy the firm's equity at the current price.

(e) Be lower than that of faster growing firms that pay lower dividends and re-invest in themselves.

Note: The inverse of x is 1/x.

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 555  capital budgeting, CFFA

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

Project Data
Project life	2 years
Initial investment in equipment	$8m
Depreciation of equipment per year for tax purposes	$3m
Unit sales per year	10m
Sale price per unit	$9
Variable cost per unit	$4
Fixed costs per year, paid at the end of each year	$2m
Tax rate	30%

Note 1: Due to the project, the firm will have to purchase $40m of inventory initially (at t=0). Half of this inventory will be sold at t=1 and the other half at t=2.

Note 2: The equipment will have a book value of $2m at the end of the project for tax purposes. However, the equipment is expected to fetch $1m when it is sold. Assume that the full capital loss is tax-deductible and taxed at the full corporate tax rate.

Note 3: The project will be fully funded by equity which investors will expect to pay dividends totaling $10m at the end of each year.

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

(a) -48,   54.5,   55.8

(b) -48,   54.5,   74.5

(c) -48,   74.5,   35.8

(d) -48,   74.5,   75.8

(e) -8,   74.5,   75.8

Question 743  price gains and returns over time, no explanation

How many years will it take for an asset's price to triple (increase from say $1 to $3) if it grows by 5% pa?

(a) 17.7643 years

(b) 22.5171 years

(c) 29.2722 years

(d) 40 years

(e) 60 years