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Determine the elastic potential energy stored in a spring with a spring constant of 50 N/m that is compressed 0.29 m

The revenue from selling q items is R(q)=200q?q^2, and the total cost is C(q)=75+13q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit. a)Profit pi(q)= b)Quantity maximizing profit q=

How much does a spring with a spring constant of 650 N/m need to be compressed in order to store 20.0 J of elastic potential energy?

A toll collector on a highway receives $4 for cars and $5 for buses. At the end of a 2-hour period, she collected $104. How many cars and buses passed through the toll booth during that period? List all possible solutions.

The trading strategy emphasizes the importance of using the DV01 ratio of the 5 and 10 year bond to create a proper trading strategy. This trading strategy might be called "market neutral" by a hedge fund manager. What does it mean to be market neutral? Why is a strategy that is market neutral considered an arbitrage strategy?

Tiffany Jordan is a hedge fund manager with a history of outstanding performance. For the past 10 years, Jordan’s fund has used an equity market neutral strategy (long/ short strategy that strives to eliminate market risk; i.e., beta should be zero) which has proved to be effective as a result of Jordan’s hard work. An equity market neutral strategy normally generates large daily trading volume and shifts in individual security positions. Jordan’s reputation has grown over the years as her fund has consistently beaten its benchmark. Employee turnover on Jordan’s team has been high; she has a tendency to be quick to blame, and rarely gives credit to team members for success. During the past twelve months, her fund has been significantly underperforming against its benchmark.

Problem 1: Now is t = 0. You have $20,000 that you are willing to investing for 3 years. You are considering three different potential strategies. They are: Strategy 1: Invest in a 3 year zero with a current (i.e., t = 0) yield to maturity of 3 percent. Strategy 2: Invest in a 1-year zero with a current (i.e., t = 0) yield to maturity of 1 percent; then next year (when the current 1-year zero matures) invest in a two year zero at whatever the yield to maturity on two-year zeros are then (at t = 1). Strategy 3: Invest in a 5 year zero with a current yield to maturity of 3.5 percent and sell these bonds in three years (at t = 3). If the yield curves at t = 1 and t = 3 are as shown below, which of these three strategies will turn out the best? That is, after 3 years, which strategy will generate the largest amount of money? t = 1 Yield Curve: t = 3 Yield Curve: . Time to maturity YTM Time to Maturity YTM (in years) (in years) 1 .02 1 .02 2 .022 2 .025 3 .025 3 .035 4 .030 4 .045

Consider the following information on a yield curve (where t = 0 is now)

Time (in years) to Maturity (TTM) Effective Annual Rate

1 .01

2 .015

3 .02

4 .0225

5 .0235

Using this yield curve, calculate the present value of the following payment streams:

a. $100 at t = 1,

b. $100 at t = 2,

c. $100 at t = 3,

d. $100 at t = 4,

e. $100 at t = 5,

f. $100 at t = 1 and $100 at t = 4

g. $200 at t = 2 and $200 at t = 5

Also using the above yield curve, calculate the forward rate for the one-year yield next year at t = 1. If you take your answer to b above divided by your answer to a above and then subtract 1, do you get the same answer?

Consider the following two strategies for getting a return over three years:

Strategy 1: Invest for three years at the three year rate;

Strategy 2: invest at the two-year rate for two years and then roll over into the one-year rate in two years.

You can calculate a forward rate for the one-year rate in two years (at t = 2) by considering the one-year rate in two years that would make you indifferent between Strategy 1 and Strategy 2. What is that forward rate?

Assume δt = t/(1 + t²), t > 0, where t is in years.

An investment was worth $100 at t = 2.

• (a) What will the investment be worth at t = 5? (Answer: $228.04)

• (b) What is the equivalent effective annual discount rate over the interval 2 < t < 5? (Answer: 24.03%)

Ralph, treasurer for M and M Products, Inc., recently updated his firm’s short-term cash forecast only to discover that the firm will suffer a cash shortage of $15 million for a period of 30 days. One alternative is to liquidate a portion of his marketable securities portfolio but with interest rates up, this is not a good alternative. Ralph just learned from one of his commercial paper dealers that paper in the thirty-day range is in demand and that asked discount rates are comparably good at about 3.7%. The dealer’s annual fee is 10 basis points and the annual commitment fee on a back up line of credit is 25 basis points.

Estimate the effective cost of the commercial paper assuming that this is the only commercial paper issue planned for the year.

Estimate the effective cost of the commercial paper assuming that there will be recurring issues of commercial paper all year long.

You will deposit $2,000 today. It will grow for five years at 12% interest, but compounded semi-annually. You will then withdraw the funds annually over the next four years at the end of each year, with an annual interest rate of 8%.

Your annual withdrawal will be approximately ______.

I need help with a Porter's Five Forces analysis on Tesla.

In terms of Bargaining Power of Suppliers, I need to provide information from research and draw/extrapolate a conclusion in terms of why that force is moderate and link the result to whether it presents a threat or opportunity to the sub-industry and then to Tesla’s profitability.

I need to analyze two supplier groups to make my conclusion.

What types of information is included to evaluate the force?