You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1,250,000. Over the past five years, the price of land in the area has increased 7 percent per year, with an annual standard deviation of 30 percent. A buyer has recently approached you and wants an
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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You own a lot in Key West, Florida, that is currently unused. Similar lots have recently sold for $1,250,000. Over the past five years, the price of land in the area has increased 7 percent per year, with an annual standard deviation of 30 percent. A buyer has recently approached you and wants an option to buy the land in the next 12 months for $1,500,000. The risk-free rate of interest is 5 percent per year, compounded continuously. |
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How much should you charge for the option? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
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