A stock is expected to pay the following dividends:

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

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

Dividend ($) | 2 | 2 | 2 | 10 | 3 | ... |

After year 4, the dividend will grow in perpetuity at 4% pa. The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What will be the price of the stock in 5 years (t = 5), just after the dividend at that time has been paid?

**Question 315** foreign exchange rate, American and European terms

If the current AUD exchange rate is USD 0.9686 = AUD 1, what is the European terms quote of the AUD against the USD?

Bonds X and Y are issued by the same US company. Both bonds yield **6**% pa, and they have the same face value ($100), maturity, seniority, and payment frequency.

The only difference is that bond X pays coupons of **8**% pa and bond Y pays coupons of **12**% pa. Which of the following statements is true?

Estimate Microsoft's (MSFT) share price using a price earnings (PE) multiples approach with the following assumptions and figures only:

- Apple, Google and Microsoft are comparable companies,
- Apple's (AAPL) share price is $526.24 and historical EPS is $40.32.
- Google's (GOOG) share price is $1,215.65 and historical EPS is $36.23.
- Micrsoft's (MSFT) historical earnings per share (EPS) is $2.71.

Source: Google Finance 28 Feb 2014.

Which of the following decisions relates to the current assets and current liabilities of the firm?

**Question 558** portfolio weights, portfolio return, short selling

An investor wants to make a portfolio of two stocks A and B with a target expected portfolio return of **16**% pa.

- Stock A has an expected return of
**8**% pa. - Stock B has an expected return of
**12**% pa.

What portfolio weights should the investor have in stocks A and B respectively?

A company advertises an investment costing $**1,000** which they say is underpriced. They say that it has an expected total return of **15**% pa, but a required return of only **10**% pa. Of the **15**% pa total expected return, the dividend yield is expected to always be **7**% pa and rest is the capital yield.

Assuming that the company's statements are correct, what is the NPV of buying the investment if the **15**% total return lasts for the next 100 years (t=0 to 100), then reverts to **10**% after that time? Also, what is the NPV of the investment if the 15% return lasts forever?

In both cases, assume that the required return of 10% remains constant, the dividends can only be re-invested at **10**% pa and all returns are given as effective annual rates.

The answer choices below are given in the same order (15% for 100 years, and 15% forever):

An effective **monthly** return of 1% ##(r_\text{eff monthly})## is equivalent to an effective **annual** return ##(r_\text{eff annual})## of:

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?