Question 24 implicit interest rate in wholesale credit, effective rate
A bathroom and plumbing supplies shop offers credit to its customers. Customers are given 60 days to pay for their goods, but if they pay within 7 days they will get a 2% discount.
What is the effective interest rate implicit in the discount being offered? Assume 365 days in a year and that all customers pay on either the 7th day or the 60th day. All rates given in this question are effective annual rates.
A two year Government bond has a face value of $100, a yield of 0.5% and a fixed coupon rate of 0.5%, paid semi-annually. What is its price?
A share just paid its semi-annual dividend of $10. The dividend is expected to grow at 2% every 6 months forever. This 2% growth rate is an effective 6 month rate. Therefore the next dividend will be $10.20 in six months. The required return of the stock is 10% pa, given as an effective annual rate.
What is the price of the share now?
Let the standard deviation of returns for a share per month be ##\sigma_\text{monthly}##.
What is the formula for the standard deviation of the share's returns per year ##(\sigma_\text{yearly})##?
Assume that returns are independently and identically distributed (iid) so they have zero auto correlation, meaning that if the return was higher than average today, it does not indicate that the return tomorrow will be higher or lower than average.
The Chinese government attempts to fix its exchange rate against the US dollar and at the same time use monetary policy to fix its interest rate at a set level.
To be able to fix its exchange rate and interest rate in this way, what does the Chinese government actually do?
- Adopts capital controls to prevent financial arbitrage by private firms and individuals.
- Adopts the same interest rate (monetary policy) as the United States.
- Fixes inflation so that the domestic real interest rate is equal to the United States' real interest rate.
Which of the above statements is or are true?
An American wishes to convert USD 1 million to Australian dollars (AUD). The exchange rate is 0.8 USD per AUD. How much is the USD 1 million worth in AUD?
Which of the following is NOT the Australian central bank’s responsibility?
Question 850 gross domestic product, gross domestic product per capita
Below is a table showing some countries’ GDP, population and GDP per capita.
| Countries' GDP and Population | |||
| GDP | Population | GDP per capita | |
| USD million | millions of people | USD | |
| United States | 18,036,648 | 325 | 55,492 |
| China | 11,158,457 | 1,383 | 8,066 |
| Japan | 4,383,076 | 127 | 34,586 |
| Germany | 3,363,600 | 83 | 40,623 |
| Norway | 500,519 | 5 | 95,027 |
Source: "GDP and its breakdown at current prices in US Dollars" United Nations Statistics Division. December 2016.
Using this data only, which one of these countries’ citizens have the highest living standards?
Question 918 duration, Macaulay duration, modified duration, bond convexity
A fixed coupon bond’s modified duration is 10 years, and yields are currently 5% pa compounded annually. Which of the following statements about the bond is NOT correct?
Examine the below graphs. The first graph shows daily FX turnover in the world by both the public (government) and private sectors. The second graph 'Official Reserve Assets' shows the FX reserves of the Australian central bank, the RBA. The third graph's top panel shows the FX reserves of the Chinese central bank, the PBoC.
Assume that the AUD and USD are priced at parity so 1 AUD = 1 USD.
Which of the following statements is NOT correct?