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marketing strategy planning
Questions and Answers of
Marketing Strategy Planning
Convince yourself that for x = log S the payoff function is equivalently formulated as C(K, T) = 0(x – log K)
Verify (13.68) for n = 2.(13.68) d' „Ax) → (-iuyAu) (х) (и)
Confirm that x(t) = eἱt, with ἱ = √–1, is also a solution.
Convince yourself that is also a representation of the δ-function as ε 0. pe(x) = Tere şe-{()* V2πε2
Calculate the price for a European put from the result in Example 12.1 and put-call parity. Confirm that the American put option is indeed more valuable.
Verify the last equation by using geometric series’ results.
Show that E[|Xt+1– Xt|Ft] =2t holds.
Check that the variance of X is indeed one.
Use the bilinearity of inner products to prove that (L + K)†(x) = L†(x) + K†(x) holds.
How is the pseudo-code in Box 14.4 to be modified, to valuate a European fixed strike lookback call?Box 14.4Box 14.4 Pseudo-code for fixed strike arithmetic Asian call Initialization Set N. M b
Can you see why the entire history of the process contributes in the computation of ht?
Prove that in the NGARCH-modelholds. hoo 1-a(1+y²)-B
Show that (15.26) implies St1= erEQ[St|Ft1](15.26) Δxr-h + Δx,-r-5 h, + vh,ze
Convince yourself that the last argument holds exactly if g(x, t) is symmetric around x̂t.
Use (15.78) and (15.79) to confirm the partial derivative(15.78)(15.79) a(T) = 1(T)a(T,) + (1 – A(T))a(Tn+1), Tn+1 - T Tu+1 - Tn Л(Т) %3 (T)
Use Cov[Ws, Wt] = min(s, t) to derive the variance of Bt.
Can you see why this specification supports volatility clustering and the leverage effect?
Confirm this claim by iterating (15.89) once more.(15.89) |в9\x1 - Е° [8%хіF-1] E°[xj-1] -k + T- (t – 1) T- (t – 1)' %3D
Verify the last equation.
Prove this statement.
Convince yourself that this statement is true by recalling that cosine is an even function and sine is odd.
Confirm that also Im[φ(u)] = φ(u)-φ∗(u)/2i holds.
Confirm the last statement with the help of (16.16).(16.16). p(2) = E[e=X] = | eExRx)dx, zeS
Use Euler’s identity to show that φ∗(z) = φ(−z∗) holds.
What does the operator for reflection in the a2-axis look like?
Convince yourself that the vectors contained in the projection operator are linearly dependent and that P2 = P holds.
Convince yourself that the last statement is indeed correct.
Check that the eigenvectors in Example 3.16 are orthonormal.
Verify that (3.35) is always true.(3.35)
Show that (AB)’ = B’ A’ for A, B ∈ IRN×N.
Use (3.43) to prove that M1 = (M1).(3.43) M = MM
Verify that (3.47) is equivalent to M|v = λ|v.(3.47) |(M – 11)~1
What is the derivative of a|M|b with respect to|a? The correct answer is not b|M! Can you see why?
Assume you decide the credit assignment in Example 4.1 by tossing a fair coin. What is the compound lottery?
Show that both vectors contained in Mϕ are orthonormal. Use the universal identity cos2 ϕ + sin2 ϕ = 1.
Verify that definition (3.11) fulfills these requirements. (3.11) N (a|b) = > anbn %3D n=1
Confirm this result by using the transformation rule (3.3). (3.3) aj =r cos 0 a2 =r sin 0,
Verify that the polar representation (3.4) of |a is correct by solving (3.3) for r and θ. (3.3) (3.4) aj =r cos 0 a2 =r sin 0,
Convince yourself that IR itself is a real vector space.
Verify the second equality in (2.32), again by using the linearity of expectations. (2.32) Cov[X, Y] = E[XY] – E[X]E[ Y] = E[Xx³] – E[X]E[X²]=0 + 0 · 1 = 0.
Confirm that the second equality in (2.29) indeed holds. (2.29) Var[X] = E[(X – E[X])*] = E[X*] – E[X]²
Show that for the six sided die, the events of throwing an even number and throwing a number less than or equal to four are also independent.
Confirm the last equality in (2.16).? (2.16) P({2}) _ 1 P(B)- 3 P(AN B) P(A\B) = P(B)
Prove this statement by using the additivity property of measures (2.7) on page 9.(2.7)1. μ(Ï) = 02. 00 An)= E µ(An), for A1, A2, ...EF and A;N A; = 0 for i+j n=1 n=1
Convince yourself that the natural filtration, F2 generated by observing the events A1 = {(H, H), (H, T)} and A2 = {(H, T)}, has only eight elements.
Verify that for A1, A2 ∈ F the intersection A1 ∩ A2 is also in f.
Verify that is indeed a valid σ-algebra.
Verify (3.19) for an arbitrary vector in IR3. (3.19) N |a) = >a,len) n=1
Prove that the variance is not a linear functional.
How does addition and multiplication with a scalar have to be defined in order to make matrices a vector space?
Analyze IMAX’s general and industry environments and identify the opportunities and challenges it faces.
Suppose an initial attempt at factor analysis provided the following eigenvalues (see text):a. Create a scree plot.b. How many factors would you suggest be used in a subsequent factor analysis?
How does factor analysis help marketing research obtain greater parsimony?
Use the city-location data to create a decision-tree using automatic interaction detection in SPSS, SAS or JMP.In contrast with the results in the chapter, do not force region to be the first
What is the formula for error remaining in an ANOVA after using the group results to predict the dependent variable?
Calculate the sample standard deviation for the data in question 2.
1. Evaluate this research design.2. What changes, if any, would you make in the observation form?3. What problems would you expect in the data collection stage?4. What techniques would you use to
What is the entropy or pseudo R2?
Define white noise in a statistical sense.
Using the information shown in Exhibit 18.1, compute the correlation between sales and NPS. Is the correlation statistically significant? Use a statistical package of some type to obtain results of
Using the information shown in Exhibit 18.1, create a spreadsheet to compute the covariance between sales and NPS.
How is it that covariance can be said to be the average cross-product?
List and define at least three measures of association from this chapter.
Define balanced experimental design and incomplete experimental design.As a market research analyst, which would you prefer to analyze data for and why?
Describe an experiment that would be a likely candidate to produce demand artifacts.What alternative design might avoid the occurrence of demand artifacts?
What is SSB, SST and SSE in the following data representing responses to different types of promotion provided through Facebook?
What would the equation be for any particular observation response as a result of some three-factor factorial design?
Give the definition of a factorial design.
Give the formula for SSblocks.Explain the equation.Which other component of ANOVA is most similar to SSblocks and why?
What is the formula for the variability around a group mean in an ANOVA?
Using the data shown in exhibit 17.10, run a factorial ANOVA using GLM that includes sex as a blocking variable, age as a covariate and movie type and rating as experimental variables. All of the
What are the abbreviations and formulas and their meaning for the “partitioning” of the total variance in a dependent variable?Include the abbreviations for total variation.
A sales force received some management-by-objectives training. Are the before/after mean scores for salespeoples job performance statistically significant at the 0.05 level? The results
Perform a X2 test on the following data:a. Managers and line employees differ in their response to: Increased regulation is the best way to ensure safe products.b. Test
What is a p-value and how is it used?
1. Should Sandy do exactly what the partner suggests, or risk losing the business for the firm, and perhaps her job, by suggesting a different approach?2. What might be an alternative approach?3. How
1. What type of attitude scale is used by the ACSI – if any?2. What type of attitude study might you design if you were the consultant?3. How would you use results from this approach to diagnose
Prepare a position statement either agreeing or disagreeing that the experiment is consistent with good ethical practice.No-Charge Electronics owner Buzz Auphf wants to know how much product failure
How can experimental graphs be used to show main effects and interactions?
When conducting an experiment, should a researcher seek participants to serve as subjects who participate in experiments an average of 4 hours a day or more? Take a yes or no stance and justify your
What are the advantages and disadvantages of test-marketing?
1. From the standpoint of an automobile company, what sources of information in this article offer secondary data?2. Suggest two or three other sources of data that might be of interest to auto
What type of research design would you recommend in the situations below?For each applied market research project, what might be an example of a “deliverable”?Which do you think would involve
Suppose a researcher conducted a 2 X 4 between-subjects design where device type (cell phone versus computer) and type of advertisement (text only, text and graphics, text and photos, no text but a
What is CHAID?How does it produce a decision tree?
Explain the concept of marketing metrics and how measures of association are relevant to the concept.
Explain why a covariance matrix can be said to contain more information than a correlation matrix.
What is a scatter plot? Presuming quadrants are formed by creating axes using the means of X and Y, what quadrants would most points fall into if the two variables show a moderately strong positive
If variable Y and variable Z are correlated -0.707, what is the interpretation?
What role do control variables play in a multiple regression model?
What is PLS and what are its key strengths and weaknesses?
What role does the matrix of standardized residuals produced by SEM play in assessing fit and drawing conclusions?
Define the terms exogenous construct and endogenous construct. How does one turn an exogenous construct into an endogenous construct in AMOS?
Describe how CFA results helps provide evidence of construct validity.
What is the difference between a fixed and free parameter?
Describe the relationship between S and Σ with respect to SEM fit.
In a study involving responses of 175 young adult consumers’ social networking habits, the marketing researcher proposes that two constructs, credibility of social network posts, and centrality of
Why does the fact that SEM is a covariance technique reinforce its role as an explanatory tool?
Where do the DF originate for a SEM model?
What do LISREL and SEM stand for? How does these terms relate to SEM in general?
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