A firm wishes to raise $20 million now. They will issue 8% pa semi-annual coupon bonds that will mature in 5 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?

You just bought a nice dress which you plan to wear once per month on nights out. You bought it a moment ago for $600 (at t=0). In your experience, dresses used once per month last for 6 years.

Your younger sister is a student with no money and wants to borrow your dress once a month when she hits the town. With the increased use, your dress will only last for another 3 years rather than 6.

What is the present value of the cost of letting your sister use your current dress for the next 3 years?

Assume: that bank interest rates are 10% pa, given as an effective annual rate; you will buy a new dress when your current one wears out; your sister will only use the current dress, not the next one that you will buy; and the price of a new dress never changes.

Estimate the Chinese bank ICBC's share price using a backward-looking price earnings (PE) multiples approach with the following assumptions and figures only. Note that the renminbi (RMB) is the Chinese currency, also known as the yuan (CNY).

- The 4 major Chinese banks ICBC, China Construction Bank (CCB), Bank of China (BOC) and Agricultural Bank of China (ABC) are comparable companies;
- ICBC 's historical earnings per share (EPS) is RMB
**0.74**; - CCB's backward-looking PE ratio is
**4.59**; - BOC 's backward-looking PE ratio is
**4.78**; - ABC's backward-looking PE ratio is also
**4.78**;

Note: Figures sourced from Google Finance on 25 March 2014. Share prices are from the Shanghai stock exchange.

Which of the following is the **least** useful method or model to calculate the value of a real option in a project?

The perpetuity with growth formula, also known as the dividend discount model (DDM) or Gordon growth model, is appropriate for valuing a company's shares. ##P_0## is the current share price, ##C_1## is next year's expected dividend, ##r## is the total required return and ##g## is the expected growth rate of the dividend.

###P_0=\dfrac{C_1}{r-g}###

The below graph shows the expected future price path of the company's shares. Which of the following statements about the graph is **NOT** correct?

A pig farmer in the US is worried about the price of hogs falling and wants to lock in a price now. In one year the pig farmer intends to sell **1,000,000** pounds of hogs. Luckily, one year CME lean hog futures expire on the exact day that he wishes to sell his pigs. The futures have a notional principal of **40,000** pounds (about 18 metric tons) and currently trade at a price of **63.85** cents per pound. The underlying lean hogs spot price is **77.15** cents per pound. The correlation between the futures price and the underlying hogs price is **one** and the standard deviations are both **4** cents per pound. The initial margin is USD**1,500** and the maintenance margin is USD**1,200** per futures contract.

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

**Question 711** continuously compounding rate, continuously compounding rate conversion

A continuously compounded **semi-annual** return of **5**% ##(r_\text{cc 6mth})## is equivalent to a continuously compounded **annual** return ##(r_\text{cc annual})## of:

The Australian central bank implements monetary policy by directly controlling which interest rate?

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?

The present value of an annuity of **3** annual payments of $**5,000** in arrears (at the end of each year) is $**12,434.26** when interest rates are **10**% pa compounding annually.

If the same amount of $12,434.26 is put in the bank at the same interest rate of 10% pa compounded annually and the same cash flow of $5,000 is withdrawn at the end of every year, **how much money** will be in the bank in **3** years, just **after** that third $5,000 payment is withdrawn?