You are examining a group of 4 stock analysts within an industry. The average stock analyst correctly predicts the direction of a given stock 51% of the time. For these analysts, their accuracy has been 40%, 50%, 60%, and 70%. What is the mean absolute deviation of their accuracy from the average?
Answer(s): B
The mean absolute deviation = the sum of (as i goes from 1 to n) of the absolute value of (X_i - Xbar), divided by n. Here, we have [|40% - 51%| + |50% - 51%| + |60% - 51%| + |70% - 51%|]/4 = [11% + 1% + 9% + 19%] / 4 = 40%/4 = 10%.
Assume the least squares equation is Y' = 10 + 20X. What does the value of 20 indicate?
Answer(s): D
The regression is written as Y' = a + bX. The letter "a" is the Y intercept and b is the slope of the line. Y' is the predicted value of Y given a specific value of X. Here b = 20.
How much would you need to deposit today in order to be able to withdraw $2,500 in 2 years and $1,500 in 5 years, if the account has nothing in it today and interest is 8% per year, compounded annually?
Answer(s): C
Work this question as two compound interest problems. On the BAII Plus, press 2 N, 8 I/Y, 0 PMT, 2500 FV, CPT PV, which yields $2,143.35. Then press STO 1. Then press 5 N, 1500 FV, CPT PV, which yields $1,020.87. Then press + RCL 1 = to see the answer. On the HP12C, press 2 n, 8 i, 0 PMT, 2500 FV, PV. Then press STO 1. Then press 5 n, 1500 FV, PV. Then press RCL 1 + to see the answer. Note that the answer will be displayed as a negative number.
How many monthly deposits of $50, beginning next month, will you need to make into an account that pays 6% per year, compounded monthly, before you will have $20,000?
On the BAII Plus, press 6 divide 12 = I/Y, 0 PV, 50 PMT, 20000 +/- FV, CPT N. On the HP12C, press 6 ENTER 12 divide i, 0 PV, 50 PMT, 20000 CHS FV, n. Note that the HP12C will display 221 as the answer. Make sure the BAII Plus has the value of P/Y set to 1.
What annual interest rate, compounded annually, would cause a series of 10 deposits of $1,000 to accumulate to $18,000, if the first deposit is made one year from today?
On the BAII Plus, press 10 N, 0 PV, 1000 PMT, 18000 +/- FV, CPT I/Y. On the HP12C, press 10 n, 0 PV, 1000 PMT, 18000 CHS FV, i. Make sure that the BAII Plus has the P/Y value set to 1.
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