Fight Finance

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Question 1  NPV

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} ###

Will you or Jan's deal?


Question 328  bond pricing, APR

A 10 year Australian government bond was just issued at par with a yield of 3.9% pa. The fixed coupon payments are semi-annual. The bond has a face value of $1,000.

Six months later, just after the first coupon is paid, the yield of the bond decreases to 3.65% pa. What is the bond's new price?



Question 333  DDM, time calculation

When using the dividend discount model, care must be taken to avoid using a nominal dividend growth rate that exceeds the country's nominal GDP growth rate. Otherwise the firm is forecast to take over the country since it grows faster than the average business forever.

Suppose a firm's nominal dividend grows at 10% pa forever, and nominal GDP growth is 5% pa forever. The firm's total dividends are currently $1 billion (t=0). The country's GDP is currently $1,000 billion (t=0).

In approximately how many years will the company's total dividends be as large as the country's GDP?



Question 347  PE ratio, Multiples valuation

Which of the following investable assets are NOT suitable for valuation using PE multiples techniques?



Question 444  investment decision, corporate financial decision theory

The investment decision primarily affects which part of a business?



Question 445  financing decision, corporate financial decision theory

The financing decision primarily affects which part of a business?



Question 531  bankruptcy or insolvency, capital structure, risk, limited liability

Who is most in danger of being personally bankrupt? Assume that all of their businesses' assets are highly liquid and can therefore be sold immediately.



Question 897  comparative advantage in trade, production possibilities curve, no explanation

Adam and Bella are the only people on a remote island. Their production possibility curves are shown in the graph.

Which of the following statements is NOT correct?



Question 958  confidence interval, normal distribution

A stock's returns are normally distributed with a mean of 8% pa and a standard deviation of 15 percentage points pa. What is the 99% confidence interval of returns over the next year? Note that the Z-statistic corresponding to a one-tail:

  • 90% normal probability density function is 1.282.
  • 95% normal probability density function is 1.645.
  • 97.5% normal probability density function is 1.960.
  • 99% normal probability density function is 2.326.
  • 99.5% normal probability density function is 2.576

The 99% confidence interval of annual returns is between:



Question 984  principal agent problem, moral hazard, asymmetric information, no explanation

When does the ‘principal-agent problem’ occur? Is it when:

I. The principal has conflicting incentives (moral hazard);

II. The agent has conflicting incentives (moral hazard);

III. The principal has incomplete information about the agent (asymmetric information); or

IV. The agent has incomplete information about the principal (asymmetric information)?

The principal-agent problem occurs when statements: