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Homework answers / question archive / Looking for someone who is great at math, business math and economics to answer 9 questions

Looking for someone who is great at math, business math and economics to answer 9 questions

Math

Looking for someone who is great at math, business math and economics to answer 9 questions. Must be A+ level work. Answers must be correct and Show all of your work. Some pictures did not appear when copied. Please review the attached file for corrected info.

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  • An investment broker is instructed by her client to invest $20,000 in 2 funds: a Global Bond fund yielding 9% and the Invesco fund yielding 7%. The client wants to invest at least $8000 in the Invesco fund and no more than $12,000 in the Global Bond fund. How much should the broker recommend that the client place in each investment to maximize income if the client wants the amount invested in the Invesco fund equal or exceed the amount placed in the Global Bond fund.

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Let x be the amount invested in the Global Bond fund, and let y be the amount invested in the Invesco fund.

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Model:

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a) Draw the set of feasible solutions b) Find the corners of the set c) Find the maximum value of the objective function

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2) A bond has a face amount of $10,000 and matures in 10 years. The nominal rate of interest on the bond is 6.4%. At what price would the bond yield a true rate of interest of 6.5%? 1) Calculate the semi-annual interest payments 2) Calculate the present value of the payments 3) Calculate the present value of the bond at maturity 4) Add step2 and step3.

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  • Find the amount $5,000 required for sinking fund after 2 years at 4% compounded monthly. What is the monthly payment?
  • Find the present value of an annuity if the withdrawal is to be $2000 per month for 3 years at 4% compounded monthly.
  • Seven years ago, Tom bought a house for $80,000, which appreciated in value at 9% per year due to inflation. If Tom has 48 more monthly payments of $500 to make to the bank on his 12% mortgage, find his present equity in the house.
  • Grandparents are buying a $40,000 face value zero coupon bond at birth in order to have enough money for college education 18 years later. They want a rate of return of 4% compounded annually, what should they pay for the bond?
  • Sean, Kevin and Bill take classes at both JJC and CSU. Sean takes 8 credits at JJC and4 credits at CSU; Kevin takes 10 credits at JJC and 6 at CSU; Bill takes 6 credits at JJC and 4 at CSU; the cost per credit at JJC is $103 and at CSU is $249. a) Write a matrix A that gives the credits each student is takingand B that gives the cost per credit at each school. b) Find the dimension of A and B. c) Find the product AB and thenames of its rows and columns.
  • Find the interest on the loan if Tim borrows $10,000 for 3 years at a simple interest of 10%.

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9) Given interaction between 2 sectors in economy

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IndustryFinal DemandsGross Output

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III

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Industry

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I205624100

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II5082280

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Primary

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Inputs3016

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  • Knowing the input-output matrix A:
  • If in 5 years the final demands change to 74 for industry I and 37 for industry II, how much should each industry produce to meet this projected demand?
  • What will be the new primary input requirements in 5 years for the 2 industries?

ouble checked for accuracy.

Show all of your work. 1) An investment broker is instructed by her client to invest $20,000 in 2 funds: a Global Bond fund yielding 9% and the Invesco fund yielding 7%. The client wants to invest at least $8000 in the Invesco fund and no more than $12,000 in the Global Bond fund. How much should the broker recommend that the client place in each investment to maximize income if the client wants the amount invested in the Invesco fund equal or exceed the amount placed in the Global Bond fund. Let x be the amount invested in the Global Bond fund, and let y be the amount invested in the Invesco fund. Maximize I = 0.09 x + 0.07 y subject to x + y ? 20, 000 Model: y ? 8, 000 x ? 12, 000 y?x x ? 0, y ? 0 a) Draw the set of feasible solutions b) Find the corners of the set c) Find the maximum value of the objective function 2) A bond has a face amount of $10,000 and matures in 10 years. The nominal rate of interest on the bond is 6.4%. At what price would the bond yield a true rate of interest of 6.5%? 1) Calculate the semi-annual interest payments 2) Calculate the present value of the payments 3) Calculate the present value of the bond at maturity 4) Add step2 and step3. 3) Find the amount $5,000 required for sinking fund after 2 years at 4% compounded monthly. What is the monthly payment? 4) Find the present value of an annuity if the withdrawal is to be $2000 per month for 3 years at 4% compounded monthly. 5) Seven years ago, Tom bought a house for $80,000, which appreciated in value at 9% per year due to inflation. If Tom has 48 more monthly payments of $500 to make to the bank on his 12% mortgage, find his present equity in the house. 6) Grandparents are buying a $40,000 face value zero coupon bond at birth in order to have enough money for college education 18 years later. They want a rate of return of 4% compounded annually, what should they pay for the bond? 7) Sean, Kevin and Bill take classes at both JJC and CSU. Sean takes 8 credits at JJC and 4 credits at CSU; Kevin takes 10 credits at JJC and 6 at CSU; Bill takes 6 credits at JJC and 4 at CSU; the cost per credit at JJC is $103 and at CSU is $249. a) Write a matrix A that gives the credits each student is taking and B that gives the cost per credit at each school. b) Find the dimension of A and B. c) Find the product AB and the names of its rows and columns. 8) Find the interest on the loan if Tim borrows $10,000 for 3 years at a simple interest of 10%. 9) Given interaction between 2 sectors in economy Industry Final Demands Gross Output I II I 20 56 24 100 II 50 8 22 80 30 16 Industry Primary Inputs a) Knowing the input-output matrix A: ? 20 ?100 A=? ? 50 ??100 56 ? 80 ? ? 8? 80 ?? ?74 ? −1 find X = ( I − A ) D where D = ? ? ?37 ? b) If in 5 years the final demands change to 74 for industry I and 37 for industry II, how much should each industry produce to meet this projected demand? c) What will be the new primary input requirements in 5 years for the 2 industries?

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