Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 14.1, Problem 12P
a. On graph paper, draw xand y-axes and plot the following points, labeling them A, B, C, and D:
(5,1), (-3, 4), (-2,-5), (4,-1)
Plot the locations of these points after they have been rotate 90°counterclockwise about the origin, labeling the images A', B', C', and D'.
b. If (a, b) is a point in a coordinate plane, what will its location be after it has been rotated 90° about the origin ? Explain your answer
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In this problem, we consider a 3-period stock market model with evolution given in Fig. 1 below.
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8
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Figure 1: Stock evolution for Problem 1.
(a) A colleague notices that in the model above, a movement up-down leads to the same value
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correct? (Explain your answer.)
(b) We consider a European put with strike price K = 10 and expiration T = 3 years. Find
the price of this option at time 0. Provide the replicating portfolio for the first period.
(c) In addition to the call above, we also consider a European call with strike price K = 10
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Chapter 14 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 14.1 - On graph paper, draw x-and y-axes, and draw two...Ch. 14.1 - On graph paper, draw x- and y-axes, and draw two...Ch. 14.1 - a. On graph paper, draw x -and y - axes, and draw...Ch. 14.1 - On graph paper, draw x -and y-axes, and draw two...Ch. 14.1 - Prob. 5PCh. 14.1 - On graph paper, draw x - and y-axes, and draw two...Ch. 14.1 - a. On graph paper, draw x- and y-axes, and plot...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...
Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - Prob. 14PCh. 14.1 - On a piece of paper, draw a point Q and a separate...Ch. 14.1 - On a piece of paper, draw a point P and a separate...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - Describe what a 90° counterclockwise rotation...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - investigate the following questions, either with...Ch. 14.1 - Investigate the following questions, either with...Ch. 14.1 - Investigate the questions that follow, either with...Ch. 14.2 - Find examples of symmetrical designs from a...Ch. 14.2 - Determine all the symmetries of Design 1 and...Ch. 14.2 - Prob. 3PCh. 14.2 - Prob. 4PCh. 14.2 - Prob. 5PCh. 14.2 - Determthe at! the symmetries of Destgn 9 and...Ch. 14.2 - Prob. 7PCh. 14.2 - a. Determine all the symmetries of a square....Ch. 14.2 - Compare translation and translation symmetry ....Ch. 14.2 - Prob. 10PCh. 14.2 - Comapare (mathematical) reflection an reflection...Ch. 14.2 - Prob. 12PCh. 14.2 - Prob. 13PCh. 14.2 - Prob. 14PCh. 14.2 - Prob. 15PCh. 14.2 - Prob. 16PCh. 14.3 - Suppose that Ada, Bada, and Cada are three cities...Ch. 14.3 - Write a paragraph in which you discuss. In your...Ch. 14.3 - Is there a side side side side congruence...Ch. 14.3 - Is there an angle-angle-angle congruence criterion...Ch. 14.3 - Give your own example to explain why there is not...Ch. 14.3 - Prob. 7PCh. 14.3 - See Flour. 14.46 . We are given that sides DG and...Ch. 14.3 - See Figure 14.47 . Given that QR and TR are the...Ch. 14.3 - See the quadrilateral in Figure 14.48 . Given that...Ch. 14.3 - This problem continues the Investigation of CIass...Ch. 14.3 - Prob. 12PCh. 14.3 - Ann and Kelly are standing on a liver bank,...Ch. 14.3 - Prob. 14PCh. 14.3 - Here is an old-fashioned way to make a rectangular...Ch. 14.4 - a. Draw a ray with endpoint A. Use a straighedge...Ch. 14.4 - a. On a blank piece of paper, draw a ray with...Ch. 14.4 - a. Draw a rhombus that is naturally associated...Ch. 14.4 - On a piece of paper, draw a point P and a separate...Ch. 14.4 - On a piece of paper, draw a point Q and a separate...Ch. 14.4 - On a piece of paper, draw a line n and a point R...Ch. 14.4 - Use a straightedge and compass (but not a...Ch. 14.4 - Prob. 8PCh. 14.4 - Prob. 9PCh. 14.4 - Describe how to use a compass to construct the...Ch. 14.4 - a. Use a compass to draw a pattern of circles like...Ch. 14.4 - Prob. 12PCh. 14.4 - Prob. 13PCh. 14.4 - Prob. 14PCh. 14.5 - Using your own examples, discuss the mathematical...Ch. 14.5 - Frank’s dog, Fido, Is 16 Inches tall and 30 inches...Ch. 14.5 - Tyler’s Flag Problem: Tyler has designed his own...Ch. 14.5 - Jasmine’s Flag Problem: Jasmine has designed her...Ch. 14.5 - Kelsey wants to make a scale drawing of herself...Ch. 14.5 - A painting that is 4 feet 3 inches by 6 feet 4...Ch. 14.5 - Write two problems about similar shapes or...Ch. 14.5 - Prob. 8PCh. 14.5 - An art museum owns a painting that it would like...Ch. 14.5 - Cameras that use film produce a negative, which Is...Ch. 14.5 - If the map in Flgure 14.65 has a scale such that 1...Ch. 14.5 - Sue has a rectangular garden. If she makes her...Ch. 14.6 - a. If two shapes are congruent, are they also...Ch. 14.6 - Is there an angIe-angle-angle-angle similarity...Ch. 14.6 - Prob. 3PCh. 14.6 - After applying a dilation centered at O, the...Ch. 14.6 - Ms. Winstead’s class went outside on a sunny day...Ch. 14.6 - A Thumb Sighting Problem: Suppose you are looking...Ch. 14.6 - Explain and draw a picture to show how you could...Ch. 14.6 - Suppose you have a TV whose screen is 36 inches...Ch. 14.6 - Prob. 9PCh. 14.6 - A city has a large cone-shaped Christmas tree that...Ch. 14.6 - Prob. 11PCh. 14.6 - Prob. 12PCh. 14.6 - Prob. 13PCh. 14.6 - Prob. 14PCh. 14.6 - Prob. 15PCh. 14.7 - In triangle ADE shown In Flguro 14.92 , the point...Ch. 14.7 - A scale model is constructed for a domed baseball...Ch. 14.7 - Og, a giant mentioned in the Bible, might have...Ch. 14.7 - An artist plans to make a Iarge sculpture of a...Ch. 14.7 - According to one description, King Kong was 19...Ch. 14.7 - If you know the volume of an object in cubic...Ch. 14.7 - Suppose that a gasoline-powered engine has a gas...Ch. 14.7 - A cup has a circular opening and a circular base....
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- In this problem, we consider a 2-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year (At = 1). The yearly interest rate is r = 1/3 = 33%. This model is a CRR model. 25 15 9 10 6 4 time Figure 1: Stock evolution for Problem 1. (a) Find the values of up and down factors u and d, and the risk-neutral probability q. (b) We consider a European put with strike price K the price of this option at time 0. == 16 and expiration T = 2 years. Find (c) Provide the number of shares of stock that the replicating portfolio contains at each pos- sible position. (d) You find this option available on the market for $2. What do you do? (Short answer.) (e) We consider an American put with strike price K = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe the optimal exercising strategy. (f) We consider an American call with strike price K ○ = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe…arrow_forwardNo chatgpt pls will upvote Alreadyarrow_forwardFind the LaPla se trnsofrom of a) chi-square Distribution. b) Normal Distribution. C) Gamma Distribution. prove that Binomial (n, 2) Poisson (2) *********************arrow_forward
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