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A liability fo 1000 is due 6 months from now as well as another 1000 is due one year from now. There're two available instruments: A 6 month bond with face amount of 1000, 8% nominal couon converti
Someone prove that each of three row operations ( Definition RO) is reversible. More precisely, if matrix B is obtained from A by application of a single row operation, show that there is a single
Determine the the principal plus the interest for $300 borrowed at 6% for 1 year and $5,000 borrowed at 7.5% for 6 months?
A company should pay liabilities of 1,000 due 6 months from now and another 1,000 due one year from now. There're two available investments.
Alice claims to know the message m. This was encrypted with rsa scheme with public parameters n, e and ciphertext c was obtained. She offers to convince Victor of this by the following set-up. She s
You have a liability fo 200,000 payable at time 7. The valuation interest rate is 6%. You want to immunize this portfolio by buying two zero coupon bonds with maturities at time 4 and 10. Determine
On monday afternoon,the store sold 1/2 of its supply of bottled water. On tuesday,it sold 5 gallons of water. on wednesday,it sold 12 gallons. On thursday, the store recieved a 15 gallon shipment. T
An Investment pays 1,000 in three years and 3,000 at the end of year 4. An investor has buy this investment to yield i=.075 annually. Determine the Macaulay duration and modified duration.
What is the Hermitian transpose of matrix, and how is this different from the standard transpose? What property does a Hermitian matrix possess?
If a five pound turkey takes 2 1/4 hours to cook, how many hours to the nearest tenth are required to cook a six pound turkey?
A survey of 1,200 people points out that 540 have invested in stocks, 580 have invested in bonds, and 210 have invested in stocks and bonds.
A minivan has two seats in front, a middle seat with spaces for three people and back seat with spaces for four people. Nine licenced drivers are going to ride in the van.
What is the probability that the poker hand will have n kings in it? (Answer for each possible value of n: 0, 1, 2, 3, or 4.) Assume we play a game as follows: I deal you poker hand, and then pay yo
In the following exercise a set of objects is given, together with operations of addition and scalar multiplication.
If the beta of a portfolio of stocks was computed to be 1.0, how should your portfolio react to changes in the overall market?
If you assembled the mix of stocks for financial portfolio for your personal use, would you prefer the low beta, a beta of 1.0, or a high beta? Why?
A man buys 6 donuts, each and every of which is plain donut, a powered donut or a glazed donut. How many possible selections are there if he buys at least one donut of each kind? Please show work
For final exam in a musical theater class, the three students john, kim and lisa are to present a program of 10 songs, with john singing 4 of them and kim and lisa singing 3 each. In how many diffe
A coin collector has 10 identical silver coins and 6 identical gold coins. In how many manners can he place these 16 coins in row if no two gold coins are placed next to each other? Please show work
A tire manufacturer chosen a random sample of 50 tires of specific model selected from the past month's production and employed destructive testing to find out the tread life of each tire.
A total of 20 students participate in a drawing in which one name is selected. There're 7 seniors (4 men and 3 women), 8 juniors (2 men and 6 women) and 5 freshman ( 2 men and 3 women). Find out the
A bowl haves one red ball, two blue balls and three green balls. Three balls are chosen at random from the bowl. Determine the probability that the three balls selected are of different colors?
What is the probability that the sum of the numbers of the two dice is divisible by 6? What is the probability that the sum of the numbers of the two dice is divisible by 5?
Suggest the set R+ of positive real nummbers, this is {x in R: x>0}. Prove by contradiction that R+ has no first element.
A total of 12 students have volunteered to participate in student government for coming year. In an election, the top vote-getter becomes president