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School: Central Connecticut State University
Course: Linear Algebra
Chapter 9 Hypothesis Tests Learning Objectives 1. Learn how to formulate and test hypotheses about a population mean and/or a population proportion. 2. Understand the types of errors possible when conducting a hypothesis test. 3. Be able to determine the
School: Central Connecticut State University
Course: Linear Algebra
Chapter 12 Simple Linear Regression Learning Objectives 1. Understand how regression analysis can be used to develop an equation that estimates mathematically how two variables are related. 2. Understand the differences between the regression model, the r
School: Central Connecticut State University
Course: Linear Algebra
Chapter5 TimeValueofMoney AnswerstoEndofChapterQuestions 51 Theopportunitycostistherateofinterestonecouldearnonanalternativeinvestmentwitharisk equaltotheriskoftheinvestmentinquestion.ThisisthevalueofIintheTVMequations,anditis shownonthetopofatimeline,bet
School: Central Connecticut State University
Course: Linear Algebra
Chapter19 MultinationalFinancialManagement AnswerstoEndofChapterQuestions 191 Takingintoaccountdifferentiallaborcostsabroad,transportation,taxadvantages,andsoforth, U.S.corporationscanmaximizelongrunprofits.Therearealsononprofitbehavioralandstrategic co
School: Central Connecticut State University
Course: Linear Algebra
April_2010 Gold Fut ures Cont ract 5/30/2008 940.4 6/2/2008 944.9 6/3/2008 933.1 6/4/2008 930.6 6/5/2008 923.3 6/6/2008 947.1 6/9/2008 950.8 6/10/2008 925.8 6/11/2008 937.3 6/12/2008 927.5 6/13/2008 928.5 6/16/2008 943.2 6/17/2008 942.9 6/18/2008 948.6 6/
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 9 ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If you had a 7 percent, $100,000 30-year fixed-rate mortgage, how long would it take before you had repaid half the loan balance due? If you paid an extra $100 per month to reduce the principal due on the m
School: Central Connecticut State University
Course: Linear Algebra
Chapter 9 Hypothesis Tests Learning Objectives 1. Learn how to formulate and test hypotheses about a population mean and/or a population proportion. 2. Understand the types of errors possible when conducting a hypothesis test. 3. Be able to determine the
School: Central Connecticut State University
Course: Linear Algebra
Chapter 12 Simple Linear Regression Learning Objectives 1. Understand how regression analysis can be used to develop an equation that estimates mathematically how two variables are related. 2. Understand the differences between the regression model, the r
School: Central Connecticut State University
Course: Linear Algebra
Chapter5 TimeValueofMoney AnswerstoEndofChapterQuestions 51 Theopportunitycostistherateofinterestonecouldearnonanalternativeinvestmentwitharisk equaltotheriskoftheinvestmentinquestion.ThisisthevalueofIintheTVMequations,anditis shownonthetopofatimeline,bet
School: Central Connecticut State University
Course: Linear Algebra
Chapter19 MultinationalFinancialManagement AnswerstoEndofChapterQuestions 191 Takingintoaccountdifferentiallaborcostsabroad,transportation,taxadvantages,andsoforth, U.S.corporationscanmaximizelongrunprofits.Therearealsononprofitbehavioralandstrategic co
School: Central Connecticut State University
Course: Linear Algebra
April_2010 Gold Fut ures Cont ract 5/30/2008 940.4 6/2/2008 944.9 6/3/2008 933.1 6/4/2008 930.6 6/5/2008 923.3 6/6/2008 947.1 6/9/2008 950.8 6/10/2008 925.8 6/11/2008 937.3 6/12/2008 927.5 6/13/2008 928.5 6/16/2008 943.2 6/17/2008 942.9 6/18/2008 948.6 6/
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 9 ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If you had a 7 percent, $100,000 30-year fixed-rate mortgage, how long would it take before you had repaid half the loan balance due? If you paid an extra $100 per month to reduce the principal due on the m
School: Central Connecticut State University
Course: Linear Algebra
Chapter 9 Hypothesis Tests Learning Objectives 1. Learn how to formulate and test hypotheses about a population mean and/or a population proportion. 2. Understand the types of errors possible when conducting a hypothesis test. 3. Be able to determine the
School: Central Connecticut State University
Course: Linear Algebra
Chapter 12 Simple Linear Regression Learning Objectives 1. Understand how regression analysis can be used to develop an equation that estimates mathematically how two variables are related. 2. Understand the differences between the regression model, the r
School: Central Connecticut State University
Course: Linear Algebra
Chapter5 TimeValueofMoney AnswerstoEndofChapterQuestions 51 Theopportunitycostistherateofinterestonecouldearnonanalternativeinvestmentwitharisk equaltotheriskoftheinvestmentinquestion.ThisisthevalueofIintheTVMequations,anditis shownonthetopofatimeline,bet
School: Central Connecticut State University
Course: Linear Algebra
Chapter19 MultinationalFinancialManagement AnswerstoEndofChapterQuestions 191 Takingintoaccountdifferentiallaborcostsabroad,transportation,taxadvantages,andsoforth, U.S.corporationscanmaximizelongrunprofits.Therearealsononprofitbehavioralandstrategic co
School: Central Connecticut State University
Course: Linear Algebra
April_2010 Gold Fut ures Cont ract 5/30/2008 940.4 6/2/2008 944.9 6/3/2008 933.1 6/4/2008 930.6 6/5/2008 923.3 6/6/2008 947.1 6/9/2008 950.8 6/10/2008 925.8 6/11/2008 937.3 6/12/2008 927.5 6/13/2008 928.5 6/16/2008 943.2 6/17/2008 942.9 6/18/2008 948.6 6/
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 9 ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If you had a 7 percent, $100,000 30-year fixed-rate mortgage, how long would it take before you had repaid half the loan balance due? If you paid an extra $100 per month to reduce the principal due on the m
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 4 Interest Rates Practice Questions Problem 4.1. A bank quotes you an interest rate of 14% per annum with quarterly compounding. What is the equivalent rate with (a) continuous compounding and (b) annual compounding? (a) The rate with continuous c
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 10 EQUITY MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 3. Rowell Inc. has 100 million shares of common stock outstanding and the company is electing seven directors by means of cumulative voting. If a group of minority shareholders controls 31 mill
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 5 Determination of Forward and Futures Prices Practice Questions Problem 5.1. Explain what happens when an investor shorts a certain share. The investors broker borrows the shares from another clients account and sells them in the usual way. To cl
School: Central Connecticut State University
Course: Linear Algebra
Chapter 1 Problems Problem 1.22. Describe the profit from the following portfolio: a long forward contract on an asset and a long European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forwa
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 12 INTERNATIONAL MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If a bushel of corn costs 3.00, and a British pound is worth $1.50, how many dollars would a person receive for 100,000 bushels of corn sold in Britain in the spot market? If the deli
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 3 Hedging Strategies Using Futures Practice Questions Problem 3.1. Under what circumstances are (a) a short hedge and (b) a long hedge appropriate? A short hedge is appropriate when a company owns an asset and expects to sell that asset in the fut
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 6 Interest Rate Futures Practice Questions Problem 6.1. A U.S. Treasury bond pays a 7% coupon on January 7 and July 7. How much interest accrues per $100 of principal to the bond holder between July 7, 2011 and August 9, 2011? How would your answe
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 8 BOND MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 1. Calculate the gross profit that an underwriter would make if it sold $10 million worth of bonds at par (face value) and paid the firm that sold the bonds 99.25% of par. The gross profit would b
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 7 Swaps Practice Questions Problem 7.1. Companies A and B have been offered the following rates per annum on a $20 million fiveyear loan: Company A Company B Fixed Rate 5.0% 6.4% Floating Rate LIBOR+0.1% LIBOR+0.6% Company A requires a floating-ra
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Linear Algebra Additional Subspace problems. On Nov. 17 there will be an in-class quiz in which you will be required to prove one of the following completely and accurately. In each problem the letters a, b and c represent real numbers 1) Prove th
School: Central Connecticut State University
Course: Linear Algebra
month 1 2 3 4 5 6 LIBOR 2.60% 2.90% 3.10% 3.20% 3.25% 3.30% forward 3.20% 3.50% 3.50% 3.45% 3.55%
School: Central Connecticut State University
Course: Linear Algebra
Test yield 4.07% Time 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 rate annualized continuous 2.05% 4.15% 4.07% Cash Flow PV 2.5 2.449697 2.5 2.400406 2.5 2.352106 2.5 2.304779 2.5 2.258404 2.5 2.212962 2.5 2.168434 2.5 2.124802 2.5 2.082049 102.5 83.64636 104
School: Central Connecticut State University
Course: Linear Algebra
Beta 0.87 Number of Contracts Rounded Index now Index Level in Two Months Return on Index in Two Months Return on Index incl divs Excess Return on Index Excess Return on Portfolio Return on Portfolio Portfolio Gain Futures Now Futures in Two Months Gain o
School: Central Connecticut State University
Course: Linear Algebra
Spot Change Futures Change 0.5 0.56 SD spot changes SD futures changes correlation 0.493333 0.51156 0.980573 Min Var Hedge Ratio 0.945636 0.61 0.63 -0.22 -0.12 -0.35 -0.44 0.79 0.6 0.04 -0.06 0.15 0.01 0.7 0.8 -0.51 -0.56 -0.41 -0.46
School: Central Connecticut State University
Course: Linear Algebra
20 22.5 25 27.5 30 30.5 31 31.25 32.5 35 37.5 40 Long Call Short Call Total -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.25 1.5 -0.75 -1.75 1.5 -0.25 -1.5 1.5 0 -0.25 1.5 1.25 2.25 -1 1.25 4.75 -3.5 1.25 7.25 -6 1.25
School: Central Connecticut State University
Course: Linear Algebra
700 800 900 1000 1100 1200 1300 Trader A Trader B -300 -100 -200 -100 -100 -100 0 -100 100 0 200 100 300 200 300 Profit per ounce 200 100 0 700 -100 -200 -300 Trader A 800 900 1000 1100 1200 1300 Gold Price Trader B
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y V with coordinates relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. b. Are your coordinates uniqu
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 - solutions Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. and V with coordinates so and Simila
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 - solutiuons Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y V with coordinates relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. and so and Simil
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. 3) Show that the set of polynomials of the form is a vect
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. Let i) ii) iii) iv) v) vi) vii) viii) ix) x) 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. i) ii) iii)
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. Let i) ii) iii) iv) v) vi) vii) viii) ix) x) 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. i) ii) iii)
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #4 Due: October 15, 2009 1) Calculate the following determinants using cofactor expansion. Show your work. a. b. 2) Let A = and k = -2. Verify that det(kA) = k3det(A). 3) Let A = . Verify that det(A) = det(AT). 4) Given that . Calculate
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #4 Due: October 15, 2009 1) Calculate the following determinants using cofactor expansion. Show your work. a. b. 2) Let A = (-2)A = and k = -2. Verify that det(kA) = k3det(A). det(-2A) = -448 (-2)3det(A) = (-8)det(A) = -448. 3) Let A =
School: Central Connecticut State University
Course: Linear Algebra
Chapter 9 Hypothesis Tests Learning Objectives 1. Learn how to formulate and test hypotheses about a population mean and/or a population proportion. 2. Understand the types of errors possible when conducting a hypothesis test. 3. Be able to determine the
School: Central Connecticut State University
Course: Linear Algebra
Chapter 12 Simple Linear Regression Learning Objectives 1. Understand how regression analysis can be used to develop an equation that estimates mathematically how two variables are related. 2. Understand the differences between the regression model, the r
School: Central Connecticut State University
Course: Linear Algebra
Chapter5 TimeValueofMoney AnswerstoEndofChapterQuestions 51 Theopportunitycostistherateofinterestonecouldearnonanalternativeinvestmentwitharisk equaltotheriskoftheinvestmentinquestion.ThisisthevalueofIintheTVMequations,anditis shownonthetopofatimeline,bet
School: Central Connecticut State University
Course: Linear Algebra
Chapter19 MultinationalFinancialManagement AnswerstoEndofChapterQuestions 191 Takingintoaccountdifferentiallaborcostsabroad,transportation,taxadvantages,andsoforth, U.S.corporationscanmaximizelongrunprofits.Therearealsononprofitbehavioralandstrategic co
School: Central Connecticut State University
Course: Linear Algebra
April_2010 Gold Fut ures Cont ract 5/30/2008 940.4 6/2/2008 944.9 6/3/2008 933.1 6/4/2008 930.6 6/5/2008 923.3 6/6/2008 947.1 6/9/2008 950.8 6/10/2008 925.8 6/11/2008 937.3 6/12/2008 927.5 6/13/2008 928.5 6/16/2008 943.2 6/17/2008 942.9 6/18/2008 948.6 6/
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 9 ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If you had a 7 percent, $100,000 30-year fixed-rate mortgage, how long would it take before you had repaid half the loan balance due? If you paid an extra $100 per month to reduce the principal due on the m
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 4 Interest Rates Practice Questions Problem 4.1. A bank quotes you an interest rate of 14% per annum with quarterly compounding. What is the equivalent rate with (a) continuous compounding and (b) annual compounding? (a) The rate with continuous c
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 10 EQUITY MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 3. Rowell Inc. has 100 million shares of common stock outstanding and the company is electing seven directors by means of cumulative voting. If a group of minority shareholders controls 31 mill
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 5 Determination of Forward and Futures Prices Practice Questions Problem 5.1. Explain what happens when an investor shorts a certain share. The investors broker borrows the shares from another clients account and sells them in the usual way. To cl
School: Central Connecticut State University
Course: Linear Algebra
Chapter 1 Problems Problem 1.22. Describe the profit from the following portfolio: a long forward contract on an asset and a long European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forwa
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 12 INTERNATIONAL MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 1. If a bushel of corn costs 3.00, and a British pound is worth $1.50, how many dollars would a person receive for 100,000 bushels of corn sold in Britain in the spot market? If the deli
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 3 Hedging Strategies Using Futures Practice Questions Problem 3.1. Under what circumstances are (a) a short hedge and (b) a long hedge appropriate? A short hedge is appropriate when a company owns an asset and expects to sell that asset in the fut
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 6 Interest Rate Futures Practice Questions Problem 6.1. A U.S. Treasury bond pays a 7% coupon on January 7 and July 7. How much interest accrues per $100 of principal to the bond holder between July 7, 2011 and August 9, 2011? How would your answe
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 8 BOND MARKETS ANSWERS TO END-OF-CHAPTER QUESTIONS 1. Calculate the gross profit that an underwriter would make if it sold $10 million worth of bonds at par (face value) and paid the firm that sold the bonds 99.25% of par. The gross profit would b
School: Central Connecticut State University
Course: Linear Algebra
CHAPTER 7 Swaps Practice Questions Problem 7.1. Companies A and B have been offered the following rates per annum on a $20 million fiveyear loan: Company A Company B Fixed Rate 5.0% 6.4% Floating Rate LIBOR+0.1% LIBOR+0.6% Company A requires a floating-ra
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Linear Algebra Additional Subspace problems. On Nov. 17 there will be an in-class quiz in which you will be required to prove one of the following completely and accurately. In each problem the letters a, b and c represent real numbers 1) Prove th
School: Central Connecticut State University
Course: Linear Algebra
month 1 2 3 4 5 6 LIBOR 2.60% 2.90% 3.10% 3.20% 3.25% 3.30% forward 3.20% 3.50% 3.50% 3.45% 3.55%
School: Central Connecticut State University
Course: Linear Algebra
Test yield 4.07% Time 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 rate annualized continuous 2.05% 4.15% 4.07% Cash Flow PV 2.5 2.449697 2.5 2.400406 2.5 2.352106 2.5 2.304779 2.5 2.258404 2.5 2.212962 2.5 2.168434 2.5 2.124802 2.5 2.082049 102.5 83.64636 104
School: Central Connecticut State University
Course: Linear Algebra
Beta 0.87 Number of Contracts Rounded Index now Index Level in Two Months Return on Index in Two Months Return on Index incl divs Excess Return on Index Excess Return on Portfolio Return on Portfolio Portfolio Gain Futures Now Futures in Two Months Gain o
School: Central Connecticut State University
Course: Linear Algebra
Spot Change Futures Change 0.5 0.56 SD spot changes SD futures changes correlation 0.493333 0.51156 0.980573 Min Var Hedge Ratio 0.945636 0.61 0.63 -0.22 -0.12 -0.35 -0.44 0.79 0.6 0.04 -0.06 0.15 0.01 0.7 0.8 -0.51 -0.56 -0.41 -0.46
School: Central Connecticut State University
Course: Linear Algebra
20 22.5 25 27.5 30 30.5 31 31.25 32.5 35 37.5 40 Long Call Short Call Total -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.75 1.5 -1.25 -2.25 1.5 -0.75 -1.75 1.5 -0.25 -1.5 1.5 0 -0.25 1.5 1.25 2.25 -1 1.25 4.75 -3.5 1.25 7.25 -6 1.25
School: Central Connecticut State University
Course: Linear Algebra
700 800 900 1000 1100 1200 1300 Trader A Trader B -300 -100 -200 -100 -100 -100 0 -100 100 0 200 100 300 200 300 Profit per ounce 200 100 0 700 -100 -200 -300 Trader A 800 900 1000 1100 1200 1300 Gold Price Trader B
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y V with coordinates relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. b. Are your coordinates uniqu
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 - solutions Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. and V with coordinates so and Simila
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #6 - solutiuons Due: Dec. 10, 2009 1) Let V be a vector space with basis . Let x,y V with coordinates relative to B of cfw_c1,c2, , cn and cfw_d1, d2, dn respectively. a. Find coordinates for x + y and kx relative to B. and so and Simil
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. 3) Show that the set of polynomials of the form is a vect
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. Let i) ii) iii) iv) v) vi) vii) viii) ix) x) 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. i) ii) iii)
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #5 Due: October 27, 2009 1) Show that the set V of all 23 matrices is a vector space. Let i) ii) iii) iv) v) vi) vii) viii) ix) x) 2) Show that the set H of 23 matrices of the form is a subspace of the vector space V in #1. i) ii) iii)
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #4 Due: October 15, 2009 1) Calculate the following determinants using cofactor expansion. Show your work. a. b. 2) Let A = and k = -2. Verify that det(kA) = k3det(A). 3) Let A = . Verify that det(A) = det(AT). 4) Given that . Calculate
School: Central Connecticut State University
Course: Linear Algebra
MAT 272 Assignment #4 Due: October 15, 2009 1) Calculate the following determinants using cofactor expansion. Show your work. a. b. 2) Let A = (-2)A = and k = -2. Verify that det(kA) = k3det(A). det(-2A) = -448 (-2)3det(A) = (-8)det(A) = -448. 3) Let A =