For a price of $6, Carlos will sell you a share which will pay a dividend of $1 in one year and every year after that forever. The required return of the stock is 10% pa.
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 share was bought for $30 (at t=0) and paid its annual dividend of $6 one year later (at t=1).
Just after the dividend was paid, the share price fell to $27 (at t=1). What were the total, capital and income returns given as effective annual rates?
The choices are given in the same order:
##r_\text{total}## , ##r_\text{capital}## , ##r_\text{dividend}##.
An investor owns an empty block of land that has local government approval to be developed into a petrol station, car wash or car park. The council will only allow a single development so the projects are mutually exclusive.
All of the development projects have the same risk and the required return of each is 10% pa. Each project has an immediate cost and once construction is finished in one year the land and development will be sold. The table below shows the estimated costs payable now, expected sale prices in one year and the internal rates of returns (IRR's).
Mutually Exclusive Projects | |||
Project | Cost now ($) |
Sale price in one year ($) |
IRR (% pa) |
Petrol station | 9,000,000 | 11,000,000 | 22.22 |
Car wash | 800,000 | 1,100,000 | 37.50 |
Car park | 70,000 | 110,000 | 57.14 |
Which project should the investor accept?
The following cash flows are expected:
- Constant perpetual yearly payments of $70, with the first payment in 2.5 years from now (first payment at t=2.5).
- A single payment of $600 in 3 years and 9 months (t=3.75) from now.
What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?
Question 657 systematic and idiosyncratic risk, CAPM, no explanation
A stock's required total return will decrease when its:
A firm wishes to raise $100 million now. The firm's current market value of equity is $300m and the market price per share is $5. They estimate that they'll be able to issue shares in a rights issue at a subscription price of $4. All answers are rounded to 6 decimal places. Ignore the time value of money and assume that all shareholders exercise their rights. Which of the following statements is NOT correct?
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?
Find the Macaulay duration of a 2 year 5% pa semi-annual fixed coupon bond which has a $100 face value and currently has a yield to maturity of 8% pa. The Macaulay duration is: