Q2 (Essential to cover) Suppose the following bonds are trading in the market. Bond Time-to-Maturity Face value Coupon rate Price E 1 $ 100 0% $ 94.79 F 2 $ 100 2% $ 92.25 G 4 $ 100 0% $ 74.88 In addition to the bonds above, you also observe the 1-year forward rate in 2 year’s time 2f3 is 8.50%. You wish to price Bond H, which is 4-year 10% coupon bond with a face value of $100. Assume all bonds (and the forward rate) are risk-free and that Bond F and Bond H are annual coupon bonds. a. Infer the term structure of interest rates: y1, y2, y3 and y4 (i.e. derive the pure yield curve for years 1-4). b. Price Bond H of the pure yield curve. c. Based on the pure yield curve, infer the 2-year forward rate commencing in 2 year’s time 2f4. d. Assume the Liquidity Preference Hypothesis holds and the annual liquidity premium is flat at 1.00% for all t. What is the expected future 1-year spot rate (i.e. the short rate) in 3 year’s time E(3y4)? e. Assume the Expectations Hypothesis holds. What is the expected 1 year future spot rate (i.e. the short rate) in 1 year’s time E(1y2)?

For x ∈ [−2, 6],h(x) = 2x, j(x) = x2, and k(x) = 2x.

1. Represent each function with a sample table

2. Graph all three functions on the same coordinate system

3. Find the average rate of change for each function at x = . -1, x = 2, and x = 4

1) Two planets, A and B, with unknown masses are uniformly rotating around a star maintaining a fixed distance of 4 million kilometers and 5 million kilometers respectively from the star. In the following answer boxes, enter the work done by that star on the two planets, A and B, respectively:

Answer 1 of 2:

Answer 2 of 2:

HA, a weak acid, with Ka=1.0×10−8, also forms the ion HA−2. The reaction is HA(aq)+A−(aq)⇌HA−2(aq) and its K = 4.0.

1-) Calculate the [H+] in a 1.0 M solution of HA.

2-)Calculate the [A−] in a 1.0 M solution of HA

3-)Calculate the [HA−2] in a 1.0 M solution of HA.

answers;

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t) + t ^ 2 + 7. Find the speed of the particle when its acceleration is zero.

2.Approximate the area bounded by the graph of y = -x ^ 2 + x + 2, the y-axis, the x-axis, and the line x = 2.
a) Using Reimmann sums with 4 subintervals and the extreme points on the right.
b) Using Reimmann sums with 4 subintervals and the extreme points on the left.

Submit the sum of parts a) and b) in response.

1. A question on a student survey asks: In a typical week, how many times do you eat at a fast food restaurant? The following data was then collected:

No. of times per week        No. of students

          5 or more                           2

          4                                       2

          3                                       3

          2                                       6

          1                                       0

          0                                       3

A. Find the mode (number of times per week) for this data.

B. Find the median (number of times per week) for this data.

C. Explain why you cannot compute the mean number of times per week using the data in the table.

2. A sample of n = 7 scores has a mean of 5. After one score is added to the sample, the new mean is found to be 7. What is the value of the new score? (Hint: compare the values for ∑X before and after the score is added.)

3. What does it mean for a sample to have a standard deviation of zero? Describe the scores in such a sample.

4. Explain what it means to say that the sample variance provides an unbiased estimate of the population variance.

5. (Using both Excel and SPSS) For the following scores: 3, 1, 1, 1

1. Find the mean.
2. Find the variance (show your work).
3. Find the standard deviation.

6. (Using both Excel and SPSS) For the following scores: 1, 0, 4, 1, 1, 5

1. Find the mean.
2. Find the variance (show your work).
3. Find the standard deviation.

For a given two-dimensional array in C as follows (Each int-type element occupies 4 bytes of memory)

int A[8][16]; 

If the address of A[1][4] is 0x0FFA0040, what is the memory address of A[2][6]?

The following kinetic data were obtained for an enzyme in the absence of inhibitor (1), and in the presence of an inhibitor at 5 mM concentration (2). Assume[ET] is the same in each experiment. [S] (mM) (1) v(µmol/mL sec) (2) v(µmol/mL sec) 1 12 4.3 2 20 8 4 29 14 8 35 21 12 40 26

a. Using a graphing program (excel or sigmaplot) construct a Lineweaver burke plot representing the uninhibited reaction and the inhibited reaction on the same plot (to submit your graphs please paste into either a word or a pdf document along with your solutions)

b. What is the equation for each of the lines? (on the graph)

c. Determine Vmax and Km for the enzyme.

d. Determine the type of inhibition and the KI for the inhibitor.

public class P2 {

public static int F(int x[], int c) {

if (c < 3) return 0; return x[c - 1] + F(x, c - 1);

}

public static int G(int a, int b) {

b = b - a;

a = b + a;

return a;

}

public static void main(String args[]) {

int a = 4, b = 1;

int x[] = { 3, 1, 4, 1, 5 };

String s = "Problem Number 2";

System.out.println(x[2 + 2] + x[2]); // line (a)

System.out.println(s.substring(2, 3)); // line (b)

System.out.println(s.substring(s.indexOf("b"))); // line (c)

System.out.println("" + G(b, a) + a + b); // line (d)

System.out.println(F(x, 5)); // line (e)

}

}

(a) What is the output at line (a)?

Answer:

(b) What is the output at line (b)?

Answer:

(c) What is the output at line (c)? Answer:

(d) What is the output at line (d)? Answer:

(e) What is the output at line (e)? Answer:

1. Which of the following statements is  inconsistent with an elastic demand curve?

2. Answer the question on the basis of the following demand schedule.

Which of the following is  correct?

3. Refer to the above table. Which product is most responsive to a change in income?