The following is the Dividend Discount Model used to price stocks:

### p_0=\frac{d_1}{r-g} ###

Which of the following statements about the Dividend Discount Model is **NOT** correct?

**Question 246** foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity

Suppose the Australian cash rate is expected to be **8.15**% pa and the US federal funds rate is expected to be **3.00**% pa over the next **2** years, both given as nominal effective annual rates. The current exchange rate is at parity, so **1** USD = **1** AUD.

What is the implied **2** year forward foreign exchange rate?

Your main expense is fuel for your car which costs $100 per month. You just refueled, so you won't need any more fuel for another month (first payment at t=1 month).

You have $2,500 in a bank account which pays interest at a rate of 6% pa, payable monthly. Interest rates are not expected to change.

Assuming that you have no income, in how many months time will you not have enough money to **fully** refuel your car?

The Chinese government attempts to fix its exchange rate against the US dollar and at the same time use monetary policy to fix its interest rate at a set level.

To be able to fix its exchange rate and interest rate in this way, what does the Chinese government actually do?

- Adopts capital controls to prevent financial arbitrage by private firms and individuals.
- Adopts the same interest rate (monetary policy) as the United States.
- Fixes inflation so that the domestic real interest rate is equal to the United States' real interest rate.

Which of the above statements is or are true?

The boss of WorkingForTheManCorp has a wicked (and unethical) idea. He plans to pay his poor workers one week late so that he can get more interest on his cash in the bank.

Every week he is supposed to pay his 1,000 employees $1,000 each. So $**1** million is paid to employees every week.

The boss was just about to pay his employees today, until he thought of this idea so he will actually pay them one week (**7** days) later for the work they did last week and every week in the future, forever.

Bank interest rates are **10**% pa, given as a real effective annual rate. So ##r_\text{eff annual, real} = 0.1## and the real effective weekly rate is therefore ##r_\text{eff weekly, real} = (1+0.1)^{1/52}-1 = 0.001834569##

All rates and cash flows are real, the inflation rate is **3**% pa and there are **52** weeks per year. The boss will always pay wages one week late. The business will operate forever with constant real wages and the same number of employees.

What is the net present value (**NPV**) of the boss's decision to pay later?

A stock is **just about to pay** a dividend of $1 **tonight**. Future annual dividends are expected to grow by 2% pa. The next dividend of $1 will be paid tonight, and the year after that the dividend will be $1.02 (=1*(1+0.02)^1), and a year later 1.0404 (=1*(1+0.04)^2) and so on forever.

Its required total return is 10% pa. The total required return and growth rate of dividends are given as effective annual rates.

Calculate the current stock price.

**Question 574** inflation, real and nominal returns and cash flows, NPV

What is the present value of a **nominal** payment of $100 in 5 years? The **real** discount rate is 10% pa and the inflation rate is 3% pa.

**Question 739** real and nominal returns and cash flows, inflation

There are a number of different formulas involving real and nominal returns and cash flows. Which one of the following formulas is **NOT** correct? All returns are effective annual rates. Note that the symbol ##\approx## means 'approximately equal to'.

A graph of assets’ expected returns ##(\mu)## versus standard deviations ##(\sigma)## is given in the below diagram.

Each letter corresponds to a separate coloured area. The portfolios at the boundary of the areas, on the black lines, are excluded from each area. Assume that all assets represented in this graph are fairly priced, and that all risky assets can be short-sold.

Which of the following statements about this graph and Markowitz portfolio theory is **NOT** correct?