A bond with a face value of $1000 and maturity of exactly 20 years pays 10% annual coupon. This bond is currently selling at an annual yield-to-maturity (YTM) of 12%. Answer the following questions for this bond.

a. Calculate the current price of the bond by discounting all the cash flows of the bond using the timeline method. b. Calculate the modified duration of the bond without using any Excel built-in function. (calculate PV of each cash flow, find the weight of each cash flow and then multiply time with the weight) c. Using modified Duration, calculate what would be the new price of the bond when YTM is 11%. d. Using modified Duration, what is the percentage change in price from the original level (found in part a) when YTM is 11%? e. Calculate convexity of the bond without using any Excel built-in function. f. Using the modified duration plus convexity model, what is the new price of the bond when YTM is 13%? g. Using the modified duration plus convexity model, what is the percentage price change from the original level (found in part a) of the bond when YTM is 13%.

Please only answer parts E,F & G

Provide the optimal Solution to the problems below using java code and include Time Complexity Analysis!

1. Peaks and Valleys

In an Array of integers, a “peak” is an element which is greater than or equal to the adjacent integers and a “valley” is an element which is less than or equal to the adjacent integers. For example, the array {5, 8, 6, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Give an array of integers, sort the array into an alternating sequence of peaks and valleys.

EXAMPLE

INPUT:

                                {5, 3, 1, 2, 3}

                OUTPUT:

{5, 1, 3, 2, 3}

2. Build Order

You are given a list of projects and a list of dependencies (Which is a list of pairs of projects, where the second project is dependent on the first project). All of a project’s dependencies must be built before the project is. Find a build order that will allow the projects to be built. If there is no valid build order, return an error.

EXAMPLE

                INPUT:

                                Projects: a, b, c, d, e, f

                                Dependencies: (a, d), (f ,b), (b, d), (f, a), (d, c)

                OUTPUT:

f, e, a, b, d, c

(I need java code with explanation of algorithms and time complexity)

A 129-kg horizontal platform is a uniform disk of radius 1.51 m and can rotate about the vertical axis through its center. A 67.5-kg person stands on the platform at a distance of 1.09 m from the center and a 25.3-kg dog sits on the platform near the person, 1.37 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

A microscope's objective lens produces an image of the target object that forms 165 mm from the eyepiece lens (on the near side of the lens). The eyepiece lens has a focal length of 210 mm. Where does the image appear, relative to the eyepiece lens, from the perspective of someone using the microscope?

In your work, don't just provide the numerical answer that Kudu wants. Interpret what this value actually means.

Which of the following statements is false concerning bonding?

(1) A H-Cl bond is an example of a polar covalent bond.

(2) The bond in HCl is formed by sharing electrons

(3) In general, chemical bonds form to minimize energy.

(4) In a N-O bond, electron density is greater near the N atom

(5) Elements with extremely different electronegativities tend to form ionic bonds with each other.

You digest a plasmid with a restriction enzyme that recognizes a single site on the plasmid. When you perform gel electrophoresis on the digestion product, you quickly realize that there are two bands; one at the expected size and one near the well. Which of the following best explains the outcome?

a.DNA was trapped in the agarose gel
b.Some plasmids were not digested
c.The presence of the chromosomal DNA
d.The some plasmids ligated together