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The Lognormal Distribution
If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable.
If P1, P2, P3, ... are the prices of a scrip in periods 1, 2, 3, ..., some applications in finance require ln (P2/P1), ln (P3/P2),... to be normally distributed, that is, continuously compounded returns are required to be normal. This property is described as “Stock Prices are Lognormal”.
REMARK
The previous random variables arose out of natural experiments. The following distributions are derived distributions. That is, it is a function of other distributions. We require the following two distributions in Testing of Hypothesis. and our presentation will be restricted by our requirements.
Example Given the graph of f(x), illustrated below, find out if f(x) is continuous at x = -2 , x = 0 , and x = 3 . Solution To give answer of the question for each
Statistical inference This is the process of drawing conclusions about attributes of a population based upon information contained in a sample or taken from the population.
Question: All rates should be calculated to 3 decimal places in % (e.g. 1.234%), the discount factors to 5 decimal places (e.g. 0.98765), and the bond prices to 3 decimal place
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Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?
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