a. A coupon payment bond has a face value of $100 and sells at $94. The bond has a

coupon rate of 7.5% and pays semi-annual coupons. The bond has a maturity of 30 years.

What is the YTM?

b. What is the YTM if the same bond in a sells at $101?

c. What is the general relationship between bond price and market interest rate? (i.e. what

does discount bond imply about market interest rate and coupon rate? What does

premium bond imply about market interest rate and coupon rate?)

a. A coupon payment bond has a face value of $100 and sells at $94. The bond has a coupon rate of 7.5% and pays semi-annual coupons. The bond has a maturity of 30 years. What is the YTM?

b. What is the YTM if the same bond in a sells at $101?

c. What is the general relationship between bond price and market interest rate? (i.e. what does discount bond imply about market interest rate and coupon rate? What does premium bond imply about market interest rate and coupon rate?)

Suppose that the government is going to auction off permits equal to one third of total emissions in the economy (so two-thirds of all emissions must be abated), and that there will be a competitive market for permits sold on an exchange (i.e., in a market) with publicly posted prices so that it is very easy to buy or sell permits. Suppose now that a firm with a marginal abatement cost of $8 has a special opportunity to buy 100 permits at a price of $15 per permit.

True or False: The firm should buy the permits even though their marginal cost is below $15.

A professor in the Computer Science department at United States Institute of Technology has just patented a new search engine technology and would like to sell it to you, an interested venture capitalist. The patent has a 17-year life. The technology will take a year to implement (there are no cash flows in the first year) and has an upfront cost of $100 million. You believe this technology will be able to capture 1% of the Internet search market, and currently this market generates profits of $1 billion per year. Over the next five years, the probability that profits will grow at 10% per year is 20% and the probability that profits will grow at 5% per year is 80%. This growth rate will become clear one year from now (after the first year of growth). After five years, profits are expected to decline 2% annually. No profits are expected after the patent runs out. The discount rate is 10%.

Calculate the NPV of undertaking the investment today. Express your answer in millions of $.

You have just turned 22 years old, recieved your bacheor's degree, and accepetd your first job, Now you must decide how much money to put into your retirement plan. The plan works as follows: Every dollar in the plan earns 7.5% per year. You cannot make withdrawls until you retire on your 65th birthday. After that, you can make withdrawls as you see fit. You decide that you will plan to live to 100 and work until you turn 65. You estimate that to live comforatbly in retirement, you will need $95,000 per year, starting at the end of the first year of retirement and ending on your 100th birthday. You will contribute the same amount to the plan at the end of every year that you work. How much do you need to contribute each year to fund your retirement?

Your annual contribution should be $_______ (Round to the nearest cent)

The department of code enforcement of a county government issues permits to general contractors to work on residential projects. For each permit issued, the department inspects the result of the project and gives a “pass” or “fail” rating. A failed project must be re-inspected until it receives a pass rating. The department had been frustrated by the high cost of re-inspection and decided to publish the inspection records of all contractors on the web. It was hoped that public access to the records would lower the re-inspection rate. A year after the web access was made public, two samples of records were randomly selected. One sample was selected from the pool of records before the web publication and one after. The proportion of projects that passed on the first inspection was noted for each sample. The results are summarized below. Construct a point estimate and a 90% confidence interval for the difference in the passing rate on first inspection between the two time periods. No public web access n1=500 320 Public web access n2=100 80

Compression of a bit string x of length n involves creating a program shorter than n bits that returns

x. The Kolmogorov complexity of a string K(x) is the length of shortest program that returns x (i.e.

the length of a maximally compressed version of x).

(a) Explain why "the smallest positive integer not definable in under 100 characters" is paradoxical.

(b) Prove that for any length n, there must be at least one bit string that cannot be compressed to

fewer than n bits.

(c) Imagine you had the program K, which outputs the Kolmogorov complexity of string. Design

a program P that when given integer n outputs the bit string of length n with the highest

Kolmogorov complexity. If there are multiple strings with the highest complexity, output the

lexicographically first (i.e. the one that would come first in a dictionary).

(d) Suppose the program P you just wrote can be written in m bits. Show that P and by extension,

K, cannot exist, for a sufficiently large input n.

1. If total cost is given by TC = 500+ 10Q − 10Q2 + 0.5Q3 , then average variable cost is minimized at __________ units of output.

a. 20 b. 10 c. 50 d. 5 e. 100

12. If output is produced according to Q = K0.5 + 3L0.5, then this production process exhibits:

a. increasing returns to scale b. constant returns to scale c. decreasing returns to scale d. first decreasing and then increasing returns to scale e. first increasing and then decreasing returns to scale

13. Company XYZ has zero fixed costs and its average variable cost of cases is given by AVC = 5Q + 600, the marginal cost at an output level of 15 units is:

a. $625 b. $500 c. $750 d. $600 e. $550

14. Given a cost function C(Q) = 400 + 18Q + 6Q2 , what is the marginal cost function?

a. 18 + 12Q. b. 18 + 12Q2. c. 400 + 6Q2. d. 18Q + 6Q2

Create a Linked List and conduct the following operations. Portion of the program is given.

The operations are:

1. Add an “H” to the list
2. Add an “I” to the list
3. Add 100 to the list
4. Print the content of the list and its size
5. Add a “H” to the first place of the list
6. Add a “R” to the last place of the list
7. Get the element of position 3 and print it
8. Get the last element and print it
9. Add an “U” to the list
10. Add a “?” to the list
11. Remove the element of position 5
12. Get and print the element of position 5
13. Remove the element of first place and print the element
14. Print the content of the list and its size

Partial program is:

import java.util.*;

public class LinkedListDemo{

public static void main(String[] args){

    LinkedList link=new LinkedList();

    link.add(" "); //add something here

    link.add(" "); //add something here

    link.add(new Integer( )); //add something here

    System.out.println("The contents of array is" + link);

    System.out.println("The size of an linkedlist is" + link.size());

//add your code

//end your code

}

}

MAKE SURE TO ATTACH THE SCREENSHOT OF THE RUNNING RESULT

Beijing Manufacturing Company uses perpetual inventory method.Below are the purchases and issues (sent to production) of direct material inventory during April 2020.

A) Prepare two INVENTORY CARDs for April,

1. if the Beijing Company uses Weighted Average Method (WAM) (round to two digits).

2. if the Beijing Company uses First-In-First-Out (FIFO).  

B) What are the “COST OF DIRECT MATERIAL USED” and the “COST OF ENDING INVENTORY” figures under the both methods?