Use a Graphing Calculator and the Method of Matrix Inverses

question 244

Multiple Choice

Use a graphing calculator and the method of matrix inverses to Give five decimal places, if necessary.
- $$\begin{array} { l } ( \log 2 ) x + ( \ln 3 ) y + ( \ln 5 ) z = 4 \\( \ln 3 ) x + ( \log 8 ) y + ( \ln 10 ) z = 11 \\( \log 23 ) x + ( \ln 7 ) y + ( \ln 4 ) z = 15\end{array}$$

• A) \(\varnothing\)
• B) \(\{ ( 9.25474,1.35236 , - 0.16880 ) \}\)
• C) \(\{ ( 0.30103,9.0309,1.38629 ) \}\)
• D) \(\{ ( 4.12321,3.91519,1.27440 ) \}\)

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Definitions:

Black-Scholes Option Pricing Model

A mathematical model for pricing European-style options, assessing the variations in market conditions over time.

Empirical Tests

Analytical procedures that use observed and historical data to test hypotheses and validate theories or models.

Mispricing

The occurrence when the market price of a financial instrument does not accurately reflect its intrinsic value, due to various factors.

Hedge Ratio

A ratio used to measure the amount of exposure reduced by hedging, indicating the proportion of risk protected against price movements.