Please select a subject first
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Solve the following :
After how many years would an annuity due of ₹3,000 p.a. accumulated ₹19,324.80 at 20% p. a. compounded yearly? [Given (1.2)4 = 2.0736]
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Solve the following :
Some machinery is expected to cost 25% more over its present cost of ₹6,96,000 after 20 years. The scrap value of the machinery will realize ₹1,50,000. What amount should be set aside at the end of every year at 5% p.a. compound interest for 20 years to replace the machinery? [Given (1.05)20= 2.653]
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Use the method of least squares to fit a trend line to the data in Problem 1 above. Also, obtain the trend value for the year 1975.
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The following table gives the production of steel (in millions of tonnes) for years 1976 to 1986.
| Year | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 |
| Production | 0 | 4 | 4 | 2 | 6 | 8 | 5 | 9 | 4 | 10 | 10 |
Fit a trend line to the above data by the graphical method.
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Choose the correct alternative :
Which of the following can’t be a component of a time series?
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Moving averages are useful in identifying ______.
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An overall upward or downward pattern in an annual time series would be contained in which component of the times series?
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Choose the correct alternative :
The following trend line equation was developed for annual sales from 1984 to 1990 with 1984 as base or zero year. Y = 500 + 60X (in 1000 Rs). The estimated sales for 1984 (in 1000 Rs) is:
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Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?
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Fill in the blank :
_______ component of time series is indicated by a smooth line.
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_______ component of time series is indicated by periodic variation year after year.
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_______ component of time series is indicated by a long wave spanning two or more years.
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Fill in the blank :
_______ component of time series is indicated by up and down movements without any pattern.
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State whether the following is True or False :
The secular trend component of time series represents irregular variations.
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State whether the following is True or False :
Seasonal variation can be observed over several years.
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Cyclical variation can occur several times in a year.
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Irregular variation is not a random component of time series.
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Calculate the cost of living index in problem
| Group | Base Year | Current Year | |
| Price | Quantity | Price | |
| Food | 120 | 15 | 170 |
| Clothing | 150 | 20 | 190 |
| Fuel & Lighting | 130 | 30 | 220 |
| House Rent | 160 | 10 | 180 |
| Miscellaneous | 200 | 12 | 200 |
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Calculate the cost of living index in problem
| Group | Base Year | Current Year | |
| Price | Quantity | Price | |
| Food | 40 | 15 | 45 |
| Clothing | 30 | 10 | 35 |
| Fuel & Lighting | 20 | 17 | 25 |
| House Rent | 60 | 22 | 70 |
| Miscellaneous | 70 | 25 | 80 |
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Calculate the cost of living index in problem
| Group | Base Year | Current Year | |
| Price | Quantity | Price | |
| Food | 132 | 10 | 170 |
| Clothing | 154 | 12 | 160 |
| Fuel & Lighting | 164 | 20 | 180 |
| House Rent | 175 | 18 | 195 |
| Miscellaneous | 128 | 5 | 120 |
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