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?
Question 121 capital structure, leverage, financial distress, interest tax shield
Fill in the missing words in the following sentence:
All things remaining equal, as a firm's amount of debt funding falls, benefits of interest tax shields __________ and the costs of financial distress __________.
A firm wishes to raise $10 million now. They will issue 6% pa semi-annual coupon bonds that will mature in 8 years and have a face value of $1,000 each. Bond yields are 10% pa, given as an APR compounding every 6 months, and the yield curve is flat.
How many bonds should the firm issue? All numbers are rounded up.
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?
You just bought $100,000 worth of inventory from a wholesale supplier. You are given the option of paying within 5 days and receiving a 2% discount, or paying the full price within 60 days.
You actually don't have the cash to pay within 5 days, but you could borrow it from the bank (as an overdraft) at 10% pa, given as an effective annual rate.
In 60 days you will have enough money to pay the full cost without having to borrow from the bank.
What is the implicit interest rate charged by the wholesale supplier, given as an effective annual rate? Also, should you borrow from the bank in 5 days to pay the supplier and receive the discount? Or just pay the full price on the last possible date?
Assume that there are 365 days per year.
Question 345 capital budgeting, break even, NPV
Project Data | ||
Project life | 10 yrs | |
Initial investment in factory | $10m | |
Depreciation of factory per year | $1m | |
Expected scrap value of factory at end of project | $0 | |
Sale price per unit | $10 | |
Variable cost per unit | $6 | |
Fixed costs per year, paid at the end of each year | $2m | |
Interest expense per year | 0 | |
Tax rate | 30% | |
Cost of capital per annum | 10% | |
Notes
- The firm's current liabilities are forecast to stay at $0.5m. The firm's current assets (mostly inventory) is currently $1m, but is forecast to grow by $0.1m at the end of each year due to the project.
At the end of the project, the current assets accumulated due to the project can be sold for the same price that they were bought. - A marketing survey was used to forecast sales. It cost $1.4m which was just paid. The cost has been capitalised by the accountants and is tax-deductible over the life of the project, regardless of whether the project goes ahead or not. This amortisation expense is not included in the depreciation expense listed in the table above.
Assumptions
- All cash flows occur at the start or end of the year as appropriate, not in the middle or throughout the year.
- All rates and cash flows are real. The inflation rate is 3% pa.
- All rates are given as effective annual rates.
Find the break even unit production (Q) per year to achieve a zero Net Income (NI) and Net Present Value (NPV), respectively. The answers below are listed in the same order.
Some financially minded people insist on a prenuptial agreement before committing to marry their partner. This agreement states how the couple's assets should be divided in case they divorce. Prenuptial agreements are designed to give the richer partner more of the couples' assets if they divorce, thus maximising the richer partner's:
Which of the following companies is most suitable for valuation using PE multiples techniques?
Question 744 income and capital returns, real and nominal returns and cash flows, inflation
If someone says "my shares rose by 10% last year", what do you assume that they mean? The effective annual:
Question 834 option, delta, theta, gamma, standard deviation, Black-Scholes-Merton option pricing
Which of the following statements about an option (either a call or put) and its underlying stock is NOT correct?
European Call Option | ||
on a non-dividend paying stock | ||
Description | Symbol | Quantity |
Spot price ($) | ##S_0## | 20 |
Strike price ($) | ##K_T## | 18 |
Risk free cont. comp. rate (pa) | ##r## | 0.05 |
Standard deviation of the stock's cont. comp. returns (pa) | ##\sigma## | 0.3 |
Option maturity (years) | ##T## | 1 |
Call option price ($) | ##c_0## | 3.939488 |
Delta | ##\Delta = N[d_1]## | 0.747891 |
##N[d_2]## | ##N[d_2]## | 0.643514 |
Gamma | ##\Gamma## | 0.053199 |
Theta ($/year) | ##\Theta = \partial c / \partial T## | 1.566433 |