Carlos Johanson, a quantitative analyst with Eastern Rhodium Institutional Brokerage, has been instructed to perform a regression analysis to test whether the proliferation of neural networks is positively related to the growth of domestic research grants. Mr. Johanson begins the process by formulating and stating a hypothesis. Now that the hypothesis has been explicitly stated, Mr. Johanson should proceed to which of the following steps? Choose the best answer.
Answer(s): D
Hypothesis testing involves a series of seven explicit steps:Step 1: Formulating and stating the hypothesisStep 2: Identifying the appropriate test statistic and its probability distribution Step 3: Specifying the significance levelStep 4: Stating the decision ruleStep 5: Collecting the data and performing the necessary calculations Step 6: Making the statistical decisionStep 7: Making the economic/investment decision.In this example, Carlos Johanson, a quantitative analyst, has been instructed to perform a regression analysis analyzing the relationship between two sets of variables. Mr. Johanson began his task with the appropriate first step - formulating and stating the hypothesis. The next step in the hypothesis testing process is to identify the appropriate test statistic and its probability distribution.
What simple annual interest rate would cause a $120 deposit to grow to $125 in 6 months?
Answer(s): E
To solve this question, we have to rearrange the simple interest formula, I=PRT so that the R is by itself. Note that the I (interest) is equal to 5 (125 - 120). Note also that the time component T of the formula is 6/12. On the BAII Plus, press 5 divide 120 divide 6 x 12 = to see the answer. On the HP12C, press 5 ENTER 120 divide 6 divide 12 x to see the answer.
What is the annual Internal Rate of Return of this series of annual cash flows: Year 0: <$20,000>, Year 1:$15,000, Year 2: $5,000, Year 3: $7,500? (Note that the <> are used to indicate a negative number).
Answer(s): B
On the BAII Plus, press CF 2nd CLRWork 20000 +/- ENTER DownArrow 15000 ENTER DownArrow DownArrow 5000 ENTER DownArrow DownArrow 7500 ENTER DownArrow DownArrow 2nd Quit. Then press Irr CPT. On the HP12C, press these keys: 20000 CHS BlueShift CFo 15000 BlueShift CFj 5000BlueShift CFj 7500 BlueShift CFj Then press YellowShift Irr. The "DownArrow" represents the downward-pointing arrow on the top row of the BAII Plus keyboard.
Stock A is highly volatile while stock B has low volatility. The difference between the arithmetic and geometric rates of return will be:
Answer(s): C
The mean and the geometric mean are equal when volatility in the rate of return is zero. For a non- zero volatility, the mean exceeds the geometric mean and the difference is larger the higher the volatility.
There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected, one after the other. What is the probability of selecting a defective roll followed by another defective roll?
The probability of selecting a defective roll in the first selection is 3/10. The probability of choosing another defective roll is 2/9. So 3/10*2/9 = 6/90 = 1/15.
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