Question 96 bond pricing, zero coupon bond, term structure of interest rates, forward interest rate
An Australian company just issued two bonds paying semi-annual coupons:
- 1 year zero coupon bond at a yield of 8% pa, and a
- 2 year zero coupon bond at a yield of 10% pa.
What is the forward rate on the company's debt from years 1 to 2? Give your answer as an APR compounding every 6 months, which is how the above bond yields are quoted.
A project's Profitability Index (PI) is less than 1. Select the most correct statement:
Question 434 Merton model of corporate debt, real option, option
A risky firm will last for one period only (t=0 to 1), then it will be liquidated. So it's assets will be sold and the debt holders and equity holders will be paid out in that order. The firm has the following quantities:
##V## = Market value of assets.
##E## = Market value of (levered) equity.
##D## = Market value of zero coupon bonds.
##F_1## = Total face value of zero coupon bonds which is promised to be paid in one year.
What is the payoff to debt holders at maturity, assuming that they keep their debt until maturity?
The below graph shows a project's net present value (NPV) against its annual discount rate.
Which of the following statements is NOT correct?
Question 575 inflation, real and nominal returns and cash flows
You expect a nominal payment of $100 in 5 years. The real discount rate is 10% pa and the inflation rate is 3% pa. Which of the following statements is NOT correct?
A $100 stock has a continuously compounded expected total return of 10% pa. Its dividend yield is 2% pa with continuous compounding. What do you expect its price to be in 2.5 years?
A trader sells one crude oil European style call option contract on the CME expiring in one year with an exercise price of $44 per barrel for a price of $6.64. The crude oil spot price is $40.33. If the trader doesn’t close out her contract before maturity, then at maturity she will have the:
A 4.5% fixed coupon Australian Government bond was issued at par in mid-April 2009. Coupons are paid semi-annually in arrears in mid-April and mid-October each year. The face value is $1,000. The bond will mature in mid-April 2020, so the bond had an original tenor of 11 years.
Today is mid-September 2015 and similar bonds now yield 1.9% pa.
What is the bond's new price? Note: there are 10 semi-annual coupon payments remaining from now (mid-September 2015) until maturity (mid-April 2020); both yields are given as APR's compounding semi-annually; assume that the yield curve was flat before the change in yields, and remained flat afterwards as well.
"Buy low, sell high" is a well-known saying. It suggests that investors should buy low then sell high, in that order.
How would you re-phrase that saying to describe short selling?
Question 948 VaR, expected shortfall
Below is a historical sample of returns on the S&P500 capital index.
S&P500 Capital Index Daily Returns Ranked from Best to Worst |
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10,000 trading days from 4th August 1977 to 24 March 2017 based on closing prices. |
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Rank | Date (DD-MM-YY) |
Continuously compounded daily return (% per day) |
1 | 21-10-87 | 9.23 |
2 | 08-03-83 | 8.97 |
3 | 13-11-08 | 8.3 |
4 | 30-09-08 | 8.09 |
5 | 28-10-08 | 8.01 |
6 | 29-10-87 | 7.28 |
… | … | … |
9980 | 11-12-08 | -5.51 |
9981 | 22-10-08 | -5.51 |
9982 | 08-08-11 | -5.54 |
9983 | 22-09-08 | -5.64 |
9984 | 11-09-86 | -5.69 |
9985 | 30-11-87 | -5.88 |
9986 | 14-04-00 | -5.99 |
9987 | 07-10-98 | -6.06 |
9988 | 08-01-88 | -6.51 |
9989 | 27-10-97 | -6.55 |
9990 | 13-10-89 | -6.62 |
9991 | 15-10-08 | -6.71 |
9992 | 29-09-08 | -6.85 |
9993 | 07-10-08 | -6.91 |
9994 | 14-11-08 | -7.64 |
9995 | 01-12-08 | -7.79 |
9996 | 29-10-08 | -8.05 |
9997 | 26-10-87 | -8.4 |
9998 | 31-08-98 | -8.45 |
9999 | 09-10-08 | -12.9 |
10000 | 19-10-87 | -23.36 |
Mean of all 10,000: | 0.0354 | |
Sample standard deviation of all 10,000: | 1.2062 | |
Sources: Bloomberg and S&P. | ||
Assume that the one-tail Z-statistic corresponding to a probability of 99.9% is exactly 3.09. Which of the following statements is NOT correct? Based on the historical data, the 99.9% daily: