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Question: (a) What is the present value of a $1000 bond which pays $50 a year for 10 years, starting one year from now? Assume the interest rate is 5% per year, compounded annually.
(b) Since $50 is 5% of $1000, this bond is called a 5% bond. What does your answer to part (a) tell you about the relationship between the principal and the present value of this bond if the interest rate is 5%?
(c) If the interest rate is more than 5% per year, compounded annually, which is larger: the principal or the present value of the bond? Why is the bond then described as trading at a discount?
(d) If the interest rate is less than 5% per year, compounded annually, why is the bond described as trading at a premium?
Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
(a) After how many seconds will the object be 240 feet from the ground? (b) When does the object strike the ground? (Use ascending order)
Back at the University of Universe City (see Example), you have been asked to network together the computer just inside the door of the Computer Science.
Your company is considering the deployment of a wireless communications system to support its project managers in the field, giving them remote mobile text access to important company resources.
"If the efficient-market hypothesis is true, the pension fund manager might as well select a portfolio with a pin." Explain why this is not the case.
(1) Prove or disprove the following: a: n^7-n is divisible by 7 b: n^9-n is divisible by 9 (2) Prove that a^3+b^3+c^3 is greater than or equal to 3abc (3) Find 1000 consecutive composite integers.
Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes.
Find the volume flow rate Q using the relationship Q = ?^?R0 2I?rI? dr, where r is the radial axis of the pipe, R is the radius of the pipe, and I?
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
a ball is thrown straight upward from the ground and attains a height of s(t)=-16t^2+128t+ 4 ft. above the ground after t seconds. When does the ball reach the maximum height and what is the maximum height?
Output the optimal radius and the lowest cost it produces. Hint: you may want to store the radii values in an array and the output from your function in a second array. Name your function Tank2.m.
question 1a cantilever beam of constant cross section carries a uniformly distributed load w nm across half its span as
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