MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Textbook Question
Chapter 4, Problem 2P
The altitude, h, as a
where h is in units of feet and the pressure p in units of millibars (mb). Write a MATLAB program in a script file that calculates the h for a given p. For input (he program asks the user to enter the pressure in units of millibars. The program then calculates the altitude rounded to the nearest integer. For output the program displays the message: The altitude is: XX ft.” where XX is the calculated value of h. Determine the altitude if the pressure is 394mb.
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We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
Negate the following compound statement using De Morgans's laws.
Chapter 4 Solutions
MATLAB: An Introduction with Applications
Ch. 4 - Prob. 1PCh. 4 - The altitude, h, as a function of air pressure can...Ch. 4 - Write a MATLAB program that determines the radius,...Ch. 4 - Radioactive decay can be modeled by the equation...Ch. 4 - A fuel tank is made of a half cylinder (r =14 in.)...Ch. 4 - A 300-lb garage door is being opened by pulling on...Ch. 4 - Write a MATLAB program in a script file that...Ch. 4 - The reduction of the amount of medication in the...Ch. 4 - The value of a saving account, V, after t years is...Ch. 4 - The electricity supply cables of the three houses...
Ch. 4 - Early explorers often estimated altitude by...Ch. 4 - An isosceles triangle sign is designed to have a...Ch. 4 - The angle ? at which a viewer sees the picture on...Ch. 4 - A 12-ft (144-in.) wire is cut into eight pieces...Ch. 4 - A person at point A spots a child in trouble at...Ch. 4 - The maximum stress smax at the edge of a hole...Ch. 4 - The airplane shown is flying at a constant speed...Ch. 4 - The intrinsic electrical conductivity a of a...Ch. 4 - The pressure drop ?p in pascals (Pa) for a fluid...Ch. 4 - The net heat exchange by radiation from plate 1...Ch. 4 - The equation of a circle in a plane with radius R...Ch. 4 - A truss is a structure made of members joined at...Ch. 4 - A truss is a Structure made of members joined at...Ch. 4 - The graph of the function f(x)=ax3+bx2+cx+d passes...Ch. 4 - The graph of the function f(x)=ax4+bx3+cx2+dx+e...Ch. 4 - The surface of many airfoils can be described with...Ch. 4 - During a golf match, a certain number of points...Ch. 4 - The dissolution of copper sulfide in aqueous...Ch. 4 - The heat index HI, calculated from the air...Ch. 4 - The stress intensity factor K at a crack is given...
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- Negate the following compound statement using De Morgans's laws.arrow_forwardQuestion 6: Negate the following compound statements, using De Morgan's laws. A) If Alberta was under water entirely then there should be no fossil of mammals.arrow_forwardNegate the following compound statement using De Morgans's laws.arrow_forward
- Characterize (with proof) all connected graphs that contain no even cycles in terms oftheir blocks.arrow_forwardLet G be a connected graph that does not have P4 or C3 as an induced subgraph (i.e.,G is P4, C3 free). Prove that G is a complete bipartite grapharrow_forwardProve sufficiency of the condition for a graph to be bipartite that is, prove that if G hasno odd cycles then G is bipartite as follows:Assume that the statement is false and that G is an edge minimal counterexample. That is, Gsatisfies the conditions and is not bipartite but G − e is bipartite for any edge e. (Note thatthis is essentially induction, just using different terminology.) What does minimality say aboutconnectivity of G? Can G − e be disconnected? Explain why if there is an edge between twovertices in the same part of a bipartition of G − e then there is an odd cyclearrow_forward
- Let G be a connected graph that does not have P4 or C4 as an induced subgraph (i.e.,G is P4, C4 free). Prove that G has a vertex adjacent to all othersarrow_forwardWe consider a one-period market with the following properties: the current stock priceis S0 = 4. At time T = 1 year, the stock has either moved up to S1 = 8 (with probability0.7) or down towards S1 = 2 (with probability 0.3). We consider a call option on thisstock with maturity T = 1 and strike price K = 5. The interest rate on the money marketis 25% yearly.(a) Find the replicating portfolio (φ, ψ) corresponding to this call option.(b) Find the risk-neutral (no-arbitrage) price of this call option.(c) We now consider a put option with maturity T = 1 and strike price K = 3 onthe same market. Find the risk-neutral price of this put option. Reminder: A putoption gives you the right to sell the stock for the strike price K.1(d) An investor with initial capital X0 = 0 wants to invest on this market. He buysα shares of the stock (or sells them if α is negative) and buys β call options (orsells them is β is negative). He invests the cash balance on the money market (orborrows if the amount is…arrow_forwardDetermine if the two statements are equivalent using a truth tablearrow_forward
- Question 4: Determine if pair of statements A and B are equivalent or not, using truth table. A. (~qp)^~q в. р л~9arrow_forwardDetermine if the two statements are equalivalent using a truth tablearrow_forwardQuestion 3: p and q represent the following simple statements. p: Calgary is the capital of Alberta. A) Determine the value of each simple statement p and q. B) Then, without truth table, determine the va q: Alberta is a province of Canada. for each following compound statement below. pvq р^~q ~рл~q ~q→ p ~P~q Pq b~ (d~ ← b~) d~ (b~ v d) 0 4arrow_forward
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