For a price of $95, Nicole will sell you a 10 year bond paying semi-annual coupons of 8% pa. The face value of the bond is $100. Other bonds with the same risk, maturity and coupon characteristics trade at a yield of 8% pa.

A stock pays annual dividends. It just paid a dividend of $3. The growth rate in the dividend is 4% pa. You estimate that the stock's required return is 10% pa. Both the discount rate and growth rate are given as effective annual rates. Using the dividend discount model, what will be the share price?

A stock **just paid** its annual dividend of $9. The share price is $60. The required return of the stock is 10% pa as an effective annual rate.

What is the implied growth rate of the dividend per year?

**Question 247** cross currency interest rate parity, no explanation

In the so called 'Swiss Loans Affair' of the 1980's, Australian banks offered loans denominated in Swiss Francs to Australian farmers at interest rates as low as 4% pa. This was far lower than interest rates on Australian Dollar loans which were above 10% due to very high inflation in Australia at the time.

In the late-1980's there was a large depreciation in the Australian Dollar. The Australian Dollar nearly halved in value against the Swiss Franc. Many Australian farmers went bankrupt since they couldn't afford the interest payments on the Swiss Franc loans because the Australian Dollar value of those payments nearly doubled. The farmers accused the banks of promoting Swiss Franc loans without making them aware of the risks.

What fundamental principal of finance did the Australian farmers (and the bankers) fail to understand?

On his 20th birthday, a man makes a resolution. He will deposit $**30** into a bank account at the **end** of every month starting from now, which is the start of the month. So the first payment will be in one month. He will write in his will that when he dies the money in the account should be given to charity.

The bank account pays interest at **6**% pa compounding **monthly**, which is not expected to change.

If the man lives for another **60** years, how much money will be in the bank account if he dies just after making his last (720th) payment?

A mature firm has constant expected future earnings and dividends. Both amounts are equal. So earnings and dividends are expected to be equal and unchanging.

Which of the following statements is **NOT** correct?

**Question 604** inflation, real and nominal returns and cash flows

Apples and oranges currently cost $**1** each. Inflation is **5**% pa, and apples and oranges are equally affected by this inflation rate. Note that when payments are not specified as real, as in this question, they're conventionally assumed to be nominal.

Which of the following statements is **NOT** correct?

**Question 729** book and market values, balance sheet, no explanation

If a firm makes a profit and pays no dividends, which of the following accounts will increase?

**Question 734** real and nominal returns and cash flows, inflation, DDM, no explanation

An equities analyst is using the dividend discount model to price a company's shares. The company operates domestically and has no plans to expand overseas. It is part of a mature industry with stable positive growth prospects.

The analyst has estimated the **real** required return (r) of the stock and the value of the dividend that the stock **just paid** a moment before ##(C_\text{0 before})##.

What is the highest perpetual **real** growth rate of dividends (g) that can be justified? Select the most correct statement from the following choices. The highest perpetual real expected growth rate of dividends that can be justified is the country's expected:

**Question 876** foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity

Suppose the yield curve in the USA and Germany is flat and the:

- USD federal funds rate at the Federal Reserve is
**1**% pa; - EUR deposit facility at the European Central Bank is
**-0.4**% pa (note the negative sign); - Spot EUR exchange rate is
**1**USD per EUR; - One year forward EUR exchange rate is
**1.011**USD per EUR.

You suspect that there’s an arbitrage opportunity. Which one of the following statements about the potential arbitrage opportunity is **NOT** correct?