1. Figure II.4 shows an affine transformation acting on an F.(a) Is this a linear transformation? Why or why not? (b) Express this affine transformation in the form x → Mx + u by explicitly giving M and u.
2. Prove the angle sum formulas for sin and cos:
1. For the truss shown, a = 4 m, b = 3.5 m, c = 5m
a) Use method of joints to solve for internal forces in DJ and JU.Consider the internal force at TI equal to 1.2 kN, COMPRESSION.
b) Use method of sections to solve for internal forces in WX and WL. Consider the force in member TU equal to 2. kN, TENSION.
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1. Families “in Law” and “in Practice”
Struening discusses social and legal challenges faced by same-sex couples and families. What happens when race is added to the mix, e.g., for African American same-sex couples or for interracial same-sex couples? What cultural, legal or other tools might these couples and families use to resist discrimination on multiple fronts?
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2. Racial Literacy and How It Works
What is “racial literacy” as discussed in Rockquemore and Henderson? How do interracial couples use it to resist racism and border patrolling? What are other ways that racia/ethnic minority couples might resist racism? Think back to the Franklin article from Week 1. Did the African American dual career marriages that she studied present a form of resistance to racism? Why or why not?
1.Formal decision making process by which large organization buy services and products is classified as A.organizational buying B. large buying C.small buying D. procedure buying 2. Deciders and buyers in companies are classified as A.evaluators B.approvers C.buyers D.selectors 3.Business markets buy phases, include A.proposal solicitation B.product specification C.order-routine specification D.all of the above 4.Purchasing agents of companies in business markets dominate the A.buyer selection B.trial supplier?s C.product components D.supplier selection 5. Administrator who assists in selection and deselection of purchasing goods and services by screening information about products are A.purchasing agents B.system agents C.evaluation agents D.awareness agents
1.Fernando Baltra Company wished to issue zero coupon straight debt with approximately a 15-year maturity. The company is rated single A by both Moody’s and S&P. How would you estimate the approximate yield if the October 1999 yield curve in Fig.1 and the spreads in Fig.2 prevailed? What is the approximate yield the company would pay?
2) Consider a 1-year risky zero coupon bond issued by company A. Suppose that the proba- bility of default (risk neutral) of A in 1-year is 0.5% and the recovery rate of the bond is 40%. Given riskless 1-year interest rate being 3% (continuously compounding), calculate the 1-year credit spread for company A.
3) Consider a 3-month European put option with a strike price of $100 on an underlying asset which has a current price of $90 and annualized volatility of 20%. The market interest rate is assumed to have a flat term structure so that the interest rate is a fixed quantity of 8%.
(a) Determine the option value by Black Scholes formula.
(b) What is the meaning of delta-normal approach to VAR for measuring risks of deriva- tives positions?
(c) What is the 99% daily delta-normal VaR in return of issuing this option? (Hint:z0.01=2.33)
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Part B: Homework Assignment (Please submit on or before the due date)1. Fernando Baltra Company wished to issue zero coupon straight debt with approximatelya 15-year maturity. The company is rated single A by both Moody’s and S&P. Howwould you estimate the approximate yield if the October 1999 yield curve in Fig.1 andthe spreads in Fig.2 prevailed? What is the approximate yield the company would pay?2. Consider a 1-year risky zero coupon bond issued by company A. Suppose that the proba-bility of default (risk neutral) of A in 1-year is 0.5% and the recovery rate of the bond is40%. Given riskless 1-year interest rate being 3% (continuously compounding), calculatethe 1-year credit spread for company A.3. Consider a 3-month European put option with a strike price of $100 on an underlyingasset which has a current price of $90 and annualized volatility of 20%. The marketinterest rate is assumed to have a ?at term structure so that the interest rate is a ?xedquantity of 8%.(a) Determine the option value by Black Scholes formula.(b) Whatisthemeaningofdelta-normalapproachtoVARformeasuringrisksofderiva-tives positions?(c) What is the 99% daily delta-normal VaR in return of issuing this option? (Hint:z =
1. For perfectly price inelastic supply
supply determines price solely.
demand determines price solely.
only a government can set the price.
either supply or demand may set the price.
2. For Matthew, the marginal utility of the 9th soda in a day is positive and the marginal utility of the 10th soda in a day is zero. This
implies that Matthew's demand curve for sodas per day will become upward sloping at 10 sodas per day.
is impossible because each additional unit of consumption of any good must provide positive marginal utility.
implies that at a zero price Matthew's demand curve will intersect the quantity axis at 10.
implies that Matthew maximizes utility by consuming 9 sodas per day.
3. Jane has $500 a Week to spend on clothing and food. The price of clothing is $25 and the price of food is $10. Jane spends her entire income when she purchases ________ units of clothing and ________ units of food.
10; 10
25; 5
12; 20
16; 8
4.Michael Dell was the first individual who sold computers by mail order. The company founded by Dell is now one of the largest and most successful computer companies in the United States. Michael Dell would be classified as a(n)
entrepreneur.
opportunist.
monopolist.
socialist.
5. Demand determines price entirely when
demand is downward sloping.
demand is perfectly inelastic.
supply is perfectly inelastic.
supply is perfectly elastic.
6. As an individual consumes more of a product within a given period of time, it is likely that each additional unit consumed will yield
successively less satisfaction.
successively more satisfaction.
the same amount of satisfaction.
less satisfaction for a while and then start to add more satisfaction.
7. When there are more substitutes for a product, the ________ for the product is ________.
demand; less price elastic
demand; more price elastic
income elasticity; greater
income elasticity; smaller
8. A price change would have the largest income effect on a
magazine.
desktop computer.
piece of clothing.
car.
9. If the demand for sardines increases as income decreases, sardines are a(n)
normal good.
inferior good.
substitute good.
complementary good.
10. Jane has $500 a Week to spend on clothing and food. The price of clothing is $25 and the price of food is $10. The clothing and food pairs in Jane's choice set include ________ units of clothing and ________ units of food.
50; 50
20; 50
15; 25
8; 30
1. Explain why speculating against a currency that is pegged unilaterally to a major currency like the USD is close to a ‘no-lose’ betting situation. Hint: explain what a speculator is likely to lose/gain in either scenario: (a) a speculative attack fails to materialize; and (b) a speculative attack that succeeds in devaluing the currency.
2. If the Argentine government had simply dollarized instead of erecting a currency board, would a financial crisis have been averted? Discuss.
1. (for loop) A 3000 lb vehicle travelling on a road at 100 ft/sec requires a force equal to its mass times its acceleration (F-ma) to stop. The acceleration is given by a d where vo 100 and vi-O Write a program that will calculate the retarding force needed to stop the car at distances of 20, 30, 50, .., 100 ft. Display the distance value and the corresponding retarding force in tabular form.
1. Explain why the Ricardian Equivalence Theorem is unlikely to hold in an economy that experiences net immigration flows.
2. Demonstrate, with the aid of a diagram, how the Ricardian Equivalence Theorem will not hold for an economy where individuals are debt-constrained.
1) For each of the following, state whether it is True or False. No need to provide an explanation. a) US businesses relies more on the stock market than the bond market for funding. b) US business relies more on indirect finance than Japan. c) US business relies more on bank loans than nonbank loans. d) US business relies more on nonbank loans than Germany. e) US business relies more on direct finance than the UK.
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