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.
For certain shares, the forward-looking Price-Earnings Ratio (##P_0/EPS_1##) is equal to the inverse of the share's total expected return (##1/r_\text{total}##). For what shares is this true?
Use the general accounting definition of 'payout ratio' which is dividends per share (DPS) divided by earnings per share (EPS) and assume that all cash flows, earnings and rates are real rather than nominal.
A company's forward-looking PE ratio will be the inverse of its total expected return on equity when it has a:
A project has the following cash flows:
Project Cash Flows | |
Time (yrs) | Cash flow ($) |
0 | -400 |
1 | 0 |
2 | 500 |
The required return on the project is 10%, given as an effective annual rate.
What is the Internal Rate of Return (IRR) of this project? The following choices are effective annual rates. Assume that the cash flows shown in the table are paid all at once at the given point in time.
Question 433 Merton model of corporate debt, real option, option, no explanation
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 equity holders at maturity, assuming that they keep their shares until maturity?
What type of present value equation is best suited to value a residential house investment property that is expected to pay constant rental payments forever? Note that 'constant' has the same meaning as 'level' in this context.
Assets A, B, M and ##r_f## are shown on the graphs above. Asset M is the market portfolio and ##r_f## is the risk free yield on government bonds. Which of the below statements is NOT correct?
A trader sells one crude oil futures contract on the CME expiring in one year with a locked-in futures price of $38.94 per barrel. The crude oil spot price is $40.33. If the trader doesn’t close out her contract before expiry then in one year she will have the:
Question 710 continuously compounding rate, continuously compounding rate conversion
A continuously compounded monthly return of 1% ##(r_\text{cc monthly})## is equivalent to a continuously compounded annual return ##(r_\text{cc annual})## of:
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: