A European bond paying annual coupons of 6% offers a yield of 10% pa.

Convert the yield into an effective monthly rate, an effective annual rate and an effective daily rate. Assume that there are 365 days in a year.

All answers are given in the same order:

### r_\text{eff, monthly} , r_\text{eff, yearly} , r_\text{eff, daily} ###

One of the reasons why firms may not begin projects with relatively small positive net present values (NPV's) is because they wish to maximise the value of their:

Acquirer firm plans to launch a takeover of Target firm. The deal is expected to create a present value of synergies totaling $**105** million. A **cash** offer will be made that pays the fair price for the target's shares plus **75**% of the total synergy value. The cash will be paid out of the firm's cash holdings, no new debt or equity will be raised.

Firms Involved in the Takeover | ||

Acquirer | Target | |

Assets ($m) | 6,000 | 700 |

Debt ($m) | 4,800 | 400 |

Share price ($) | 40 | 20 |

Number of shares (m) | 30 | 15 |

Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.

Calculate the merged firm's share price and total number of shares after the takeover has been completed.

A young lady is trying to decide if she should attend university or begin working straight away in her home town.

The young lady's grandma says that she should not go to university because she is less likely to marry the local village boy whom she likes because she will spend less time with him if she attends university.

What's the correct way to classify this item from a capital budgeting perspective when trying to decide whether to attend university?

The cost of not marrying the local village boy should be classified as:

**Question 539** debt terminology, fully amortising loan, bond pricing

A 'fully amortising' loan can also be called a:

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 ##(\%)##.

On 22-Mar-2013 the Australian Government issued series TB139 treasury bonds with a combined face value $23.4m, listed on the ASX with ticker code GSBG25.

The bonds mature on **21-Apr-2025**, the fixed coupon rate is **3.25**% pa and coupons are paid **semi-annually** on the 21st of April and October of each year. Each bond's face value is $**1,000**.

At market close on Friday **11-Sep-2015** the bonds' yield was **2.736**% pa.

At market close on Monday **14-Sep-2015** the bonds' yield was **2.701**% pa. Both yields are given as annualised percentage rates (APR's) compounding every 6 months. For convenience, assume 183 days in 6 months and 366 days in a year.

What was the historical total return over those 3 calendar days between Friday 11-Sep-2015 and Monday 14-Sep-2015?

There are **183** calendar days from market close on the last coupon 21-Apr-2015 to the market close of the next coupon date on 21-Oct-2015.

Between the market close times from 21-Apr-2015 to 11-Sep-2015 there are **143** calendar days. From 21-Apr-2015 to 14-Sep-2015 there are **146** calendar days.

From 14-Sep-2015 there were **20** coupons remaining to be paid including the next one on 21-Oct-2015.

All of the below answers are given as effective 3 day rates.

A home loan company advertises an interest rate of **4.5**% pa, payable monthly. Which of the following statements about the interest rate is **NOT** correct?