The first problem has
been solved for you. Please use this as a model to show the details of the
calculations and the logic in your procedure. The answers to the problems are
given for your guidance. Note the following: INSTRUCTIONS1. Please include the statement of the
problem with the solution. 2. Write a financial principle to start your
problem. For example The PV of a loan is equal to the PV of installments
properly discounted. 3. Write an equation to represent the
financial principle. You should include the equation number such as (2.1)
that you are using to set up the problem. 4. You can solve the equation by using a WolframAlpha
statement. Write that statement within your solution so that I can verify your
answer. 5. If you are using Excel make sure the
Excel table is embedded in the Word file. 6. Use explanations to show your logic.MODEL TO USE AS AN EXAMPLE1.1. At Wal-Mart in the hardware department a
customer buys five gallons of paint and six brushes and pays $97.52 for them
including 6% sales tax. Another person buys eight gallons of paint and five
brushes and pays $146.28 including the sales tax. Find the price of a gallon
of paint and that of a brush. Suppose the paint
sells for $x per gallon and the brushes are $y each. The total
for the first customer is 5x + 6y. Adding 6% sales tax then it
becomes 1.06(5x + 6y). The total is $97.52. Thus we get the equation
1.06(5x + 6y)
= 97.52 Likewise the
equation for the second customer is 1.06(8x + 5y)
= 146.28 To solve the
equations go to WolframAlpha and write the following instruction 1.06*(5*x+6*y)=97.521.06*(8*x+5*y)=146.28 The result comes
out as x = 16 and y = 2. Thus paint is $16 per gallon and
brushes are $2 each. PROBLEMS 1.Wyoming Corporation has invested in the
following two projects. The following table provides the cash flows from the
two projects under different states of the economy.State of the EconomyProbabilityProject AProject BPoor25%$3000-$5000Average30%$4000$7000Good45%$5000$15000Find the following:(A) Standard deviation
of A s(A) $812.40?(B) Standard deviation
of B s(B) $8027.45?(C) Correlation
coefficient between the two projects rAB .9936?2.Utah Corporation is expected to pay $2.00 dividend after one year
$3.00 after 2 years $4.00 after 3 years and then $5.00 a year uniformly after
fourth and subsequent years. If the stockholders of Utah require 15% return on
their investment find the price of the stock now. What is its price just after
the payment of the first $2.00 dividend?$28.55 $30.84?3.Texas
Corporation stock pays a dividend on every July 15. In 2008 the dividend is
$3.00 in 2009 $3.25 in 2010 $3.50 and in 2011 and all the subsequent years
it will be $4.00. The shareholders of Texas require a return of 13% on their
investment. Find the price of this stock on July 16 2008 just after it
has paid its dividend. What is its price on July 14 2010 just before
it pays its dividend?$29.71 $34.27?
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