Jan asks you for a loan. He wants $100 now and offers to pay you back $120 in 1 year. You can borrow and lend from the bank at an interest rate of 10% pa, given as an effective annual rate.
Ignore credit risk. Remember:
### V_0 = \frac{V_t}{(1+r_\text{eff})^t} ###
Government bonds currently have a return of 5% pa. A stock has an expected return of 6% pa and the market return is 7% pa. What is the beta of the stock?
You're trying to save enough money for a deposit to buy a house. You want to buy a house worth $400,000 and the bank requires a 20% deposit ($80,000) before it will give you a loan for the other $320,000 that you need.
You currently have no savings, but you just started working and can save $2,000 per month, with the first payment in one month from now. Bank interest rates on savings accounts are 4.8% pa with interest paid monthly and interest rates are not expected to change.
How long will it take to save the $80,000 deposit? Round your answer up to the nearest month.
In the dividend discount model:
### P_0= \frac{d_1}{r-g} ###
The pronumeral ##g## is supposed to be the:
Read the following financial statements and calculate the firm's free cash flow over the 2014 financial year.
| UBar Corp | ||
| Income Statement for | ||
| year ending 30th June 2014 | ||
| $m | ||
| Sales | 293 | |
| COGS | 200 | |
| Rent expense | 15 | |
| Gas expense | 8 | |
| Depreciation | 10 | |
| EBIT | 60 | |
| Interest expense | 0 | |
| Taxable income | 60 | |
| Taxes | 18 | |
| Net income | 42 | |
| UBar Corp | ||
| Balance Sheet | ||
| as at 30th June | 2014 | 2013 |
| $m | $m | |
| Assets | ||
| Cash | 30 | 29 |
| Accounts receivable | 5 | 7 |
| Pre-paid rent expense | 1 | 0 |
| Inventory | 50 | 46 |
| PPE | 290 | 300 |
| Total assets | 376 | 382 |
| Liabilities | ||
| Trade payables | 20 | 18 |
| Accrued gas expense | 3 | 2 |
| Non-current liabilities | 0 | 0 |
| Contributed equity | 212 | 212 |
| Retained profits | 136 | 150 |
| Asset revaluation reserve | 5 | 0 |
| Total L and OE | 376 | 382 |
Note: all figures are given in millions of dollars ($m).
The firm's free cash flow over the 2014 financial year was:
Question 543 price gains and returns over time, IRR, NPV, income and capital returns, effective return
For an asset price to triple every 5 years, what must be the expected future capital return, given as an effective annual rate?
Question 802 negative gearing, leverage, capital structure, no explanation
Which of the following statements about ‘negative gearing’ is NOT correct?
A 12 month European-style call option with a strike price of $11 is written on a dividend paying stock currently trading at $10. The dividend is paid annually and the next dividend is expected to be $0.40, paid in 9 months. The risk-free interest rate is 5% pa continuously compounded and the standard deviation of the stock’s continuously compounded returns is 30 percentage points pa. The stock's continuously compounded returns are normally distributed. Using the Black-Scholes-Merton option valuation model, determine which of the following statements is NOT correct.
Question 850 gross domestic product, gross domestic product per capita
Below is a table showing some countries’ GDP, population and GDP per capita.
| Countries' GDP and Population | |||
| GDP | Population | GDP per capita | |
| USD million | millions of people | USD | |
| United States | 18,036,648 | 325 | 55,492 |
| China | 11,158,457 | 1,383 | 8,066 |
| Japan | 4,383,076 | 127 | 34,586 |
| Germany | 3,363,600 | 83 | 40,623 |
| Norway | 500,519 | 5 | 95,027 |
Source: "GDP and its breakdown at current prices in US Dollars" United Nations Statistics Division. December 2016.
Using this data only, which one of these countries’ citizens have the highest living standards?
Question 935 real estate, NPV, perpetuity with growth, multi stage growth model, DDM
You're thinking of buying an investment property that costs $1,000,000. The property's rent revenue over the next year is expected to be $50,000 pa and rent expenses are $20,000 pa, so net rent cash flow is $30,000. Assume that net rent is paid annually in arrears, so this next expected net rent cash flow of $30,000 is paid one year from now.
The year after, net rent is expected to fall by 2% pa. So net rent at year 2 is expected to be $29,400 (=30,000*(1-0.02)^1).
The year after that, net rent is expected to rise by 1% pa. So net rent at year 3 is expected to be $29,694 (=30,000*(1-0.02)^1*(1+0.01)^1).
From year 3 onwards, net rent is expected to rise at 2.5% pa forever. So net rent at year 4 is expected to be $30,436.35 (=30,000*(1-0.02)^1*(1+0.01)^1*(1+0.025)^1).
Assume that the total required return on your investment property is 6% pa. Ignore taxes. All returns are given as effective annual rates.
What is the net present value (NPV) of buying the investment property?