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?
The required return of a project is 10%, given as an effective annual rate.
What is the payback period of the project in years?
Assume that the cash flows shown in the table are received smoothly over the year. So the $121 at time 2 is actually earned smoothly from t=1 to t=2.
| Project Cash Flows | |
| Time (yrs) | Cash flow ($) |
| 0 | -100 |
| 1 | 11 |
| 2 | 121 |
Below are 4 option graphs. Note that the y-axis is payoff at maturity (T). What options do they depict? List them in the order that they are numbered.
A zero coupon bond that matures in 6 months has a face value of $1,000.
The firm that issued this bond is trying to forecast its income statement for the year. It needs to calculate the interest expense of the bond this year.
The bond is highly illiquid and hasn't traded on the market. But the finance department have assessed the bond's fair value to be $950 and this is its book value right now at the start of the year.
Assume that:
- the firm uses the 'effective interest method' to calculate interest expense.
- the market value of the bond is the same as the book value.
- the firm is only interested in this bond's interest expense. Do not include the interest expense for a new bond issued to refinance the current one, as would normally happen.
What will be the interest expense of the bond this year for the purpose of forecasting the income statement?
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?
Question 720 mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate
A stock has an arithmetic average continuously compounded return (AALGDR) of 10% pa, a standard deviation of continuously compounded returns (SDLGDR) of 80% pa and current stock price of $1. Assume that stock prices are log-normally distributed.
In 5 years, what do you expect the median and mean prices to be? The answer options are given in the same order.
The following cash flows are expected:
- A perpetuity of yearly payments of $30, with the first payment in 5 years (first payment at t=5, which continues every year after that forever).
- One payment of $100 in 6 years and 3 months (t=6.25).
What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?
Question 906 effective rate, return types, net discrete return, return distribution, price gains and returns over time
For an asset's price to double from say $1 to $2 in one year, what must its effective annual return be? Note that an effective annual return is also called a net discrete return per annum. If the price now is ##P_0## and the price in one year is ##P_1## then the effective annul return over the next year is:
###r_\text{effective annual} = \dfrac{P_1 - P_0}{P_0} = \text{NDR}_\text{annual}###Which of the following statements about vanilla floating coupon bonds is NOT correct? A vanilla floating coupon bond's: