A stock is expected to pay the following dividends:

Cash Flows of a Stock | ||||||

Time (yrs) | 0 | 1 | 2 | 3 | 4 | ... |

Dividend ($) | 0.00 | 1.00 | 1.05 | 1.10 | 1.15 | ... |

After year 4, the annual dividend will grow in perpetuity at 5% pa, so;

- the dividend at t=5 will be $1.15(1+0.05),
- the dividend at t=6 will be $1.15(1+0.05)^2, 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?

Diversification is achieved by investing in a large amount of stocks. What type of risk is reduced by diversification?

The standard deviation and variance of a stock's annual returns are calculated over a number of years. The units of the returns are percent per annum ##(\% pa)##.

What are the units of the standard deviation ##(\sigma)## and variance ##(\sigma^2)## of returns respectively?

**Hint**: Visit Wikipedia to understand the difference between percentage points ##(\text{pp})## and percent ##(\%)##.

A company conducts a **4** for **3** stock split. What is the percentage change in the stock price and the number of shares outstanding? The answers are given in the same order.

**Question 638** option, option payoff at maturity, no explanation

Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being **long** a **put** option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.

A firm wishes to raise $**50** million now. They will issue **5**% pa semi-annual coupon bonds that will mature in **3** years and have a face value of $**100** each. Bond yields are **6**% pa, given as an APR compounding every 6 months, and the yield curve is flat.

How many bonds should the firm issue?

A **4.5**% fixed coupon Australian Government bond was issued at **par** in mid-**April 2009**. Coupons are paid **semi-annually** in arrears in mid-April and mid-October each year. The face value is $**1,000**. The bond will mature in mid-**April 2020**, so the bond had an original tenor of **11** years.

Today is mid-**September 2015** and similar bonds now yield **1.9**% pa.

What is the bond's new price? Note: there are 10 semi-annual coupon payments remaining from now (mid-September 2015) until maturity (mid-April 2020); both yields are given as APR's compounding semi-annually; assume that the yield curve was flat before the change in yields, and remained flat afterwards as well.

A Brazilian lady wishes to convert 1 million Brazilian Real (BRL) into Chinese Renminbi (RMB, also called the Yuan or CNY). The exchange rate is **3.42** BRL per USD and **6.27** RMB per USD. How much is the BRL 1 million worth in RMB?

Which of the following statements about an asset’s standard deviation of returns is **NOT** correct? All other things remaining equal, the higher the asset’s standard deviation of returns: