Buying a life insurance policy

A MasterCard statement shows a balance of $570 at 13.2% compounded monthly. What monthly payment will pay off this debt in 1 year 9 months? (Round your answer to the nearest cent.)
$

Just before his first attempt at bungee jumping, John decides to buy a life insurance policy. His annual income at age 30 is $35,000, so he figures he should get enough insurance to provide his wife and new baby with that amount each year for the next 35 years. If the long-term interest rate is 6.1%, what is the present value of John’s future annual earnings? (Round your answer to the nearest cent.)
$

Rounding up to the next $50,000, how much life insurance should he buy? (Round your original answer to the nearest $50,000.)
$

The super prize in a contest is $10 million. This prize will be paid out in equal yearly payments over the next 10 years. If the prize money is guaranteed by AAA bonds yielding 3% and is placed into an escrow account when the contest is announced 1 year before the first payment, how much do the contest sponsors have to deposit in the escrow account? (Round your answer to the nearest cent.)
$

Find the unpaid balance on the debt. (Round your answer to the nearest cent.)
After 6 years of monthly payments on $160,000 at 3% for 25 years.
$

Determine the payment to amortize the debt. (Round your answer to the nearest cent.)
Quarterly payments on $12,500 at 3.7% for 6 years.
$
In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

You and your new spouse each bring home $1500 each month after taxes and other payroll deductions. By living frugally, you intend to live on just one paycheck and save the other in a mutual fund yielding 7.96% compounded monthly. How long will it take to have enough for a 20% down payment on a $155,000 condo in the city? (Round your answer to two decimal places.)
yr
In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

An individual retirement account, or IRA, earns tax-deferred interest and allows the owner to invest up to $5000 each year. Joe and Jill both will make IRA deposits for 30 years (from age 35 to 65) into stock mutual funds yielding 9.5%. Joe deposits $5000 once each year, while Jill has $96.15 (which is 5000/52) withheld from her weekly paycheck and deposited automatically. How much will each have at age 65? (Round your answer to the nearest cent.)
Joe $

Jill $

In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.)
$255 monthly at 5.6% to accumulate $25,000.

In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the required payment for the sinking fund. (Round your answer to the nearest cent.)
Yearly deposits earning 12.9% to accumulate $4500 after 12 years.
$

In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period.

Find the accumulated amount of the annuity. (Round your answer to the nearest cent.)
$2000 monthly at 6.9% for 20 years.
$

You have just received $135,000 from the estate of a long-lost rich uncle. If you invest all your inheritance in a tax-free bond fund earning 6.3% compounded quarterly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.)

Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.)
A $60,000 zero-coupon bond maturing in 8 years and selling now for $42,035.
Use the “rule of 72” to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your answers to two decimal places.)
7.9% compounded weekly.
“rule of 72” yr
exact answer

Calculate the present value of the compound interest loan. (Round your answers to the nearest cent.)
$22,000 after 7 years at 5% if the interest is compounded in the following ways.
(a) annually
$

(b) quarterly
$

Determine the amount due on the compound interest loan. (Round your answers to the nearest cent.)
$16,000 at 4% for 15 years if the interest is compounded in the following ways.
(a) annually
$

(b) quarterly
$

Find the term of a loan of $200 at 3.5% if the simple interest is $56.
yr
Find the principal of a loan at 6.2% if the simple interest after 5 years 6 months is $1705.
$

Sample Solution

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World History Ch 4

There are 3 parts to this assignment: Part 1: Discussion post must be atleast 300 words (min 150 words per a question). Part 2: Focus question writing assignment must be atleast 400 words (min 200 words per a question). Part 3: Discussion post responses must be atleast 300 words (min 150 words per a question). I will upload a pdf of the chapter and the questions for you to respond to as soon as my professor releases them on Monday, which you will use for the first 2 parts. You should use the chapter as the primary source but you can also use an outside source as long as it is a credible, scholarly source and is cited correctly. You may NOT use Wikipedia as a source. Then, I will upload the discussion posts for you to respond to as soon as they are available to me (after I submit my initial discussion post: part 1 of this assignment). So if you can get that one part to me a little before the due date, to ensure that you have enough time to do the discussion responses, that would be great. Thank you.

Essay 1 – Fredrick Douglass’ “Learning to Read and Write”

In Fredrick Douglass’ “Learning to Read and Write”, Douglass describes the harsh realities of slavery and his
journey from illiteracy to literacy. Despite laws put in place to prevent him from learning to read and write,
Douglass risks his life to learn to read and write because he believes it is the key to his freedom. How does
literacy cause Douglass to question the institution of slavery? How does reading change the way Douglass
views slavery and his enslavers?

Sample Solution

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Case Study: KPIs and Incentives

Lance Wilkins is a retired account manager who used to work in the sales department of a television broadcaster. For decades, he made his living selling television advertising spots. He’d had a successful career, and, looking back at it, he considered himself lucky. During the last few years before retiring, he had witnessed a gradual shift in the viewing habits of the population. People started to watch less TV and spend more time online. TV program ratings took a hit, and advertisers did the logical thing: they cut their ad budgets for TV and increased them for online advertising. That meant that Lance’s job got harder and harder.
Lance retired the day he reached the minimum retirement age. He decided to move on to a new phase of his life: instead of riding quietly into the sunset, he took his retirement savings and invested in something he had been considering for years—he bought a small motel on the Florida coast. Lance was convinced he could easily manage a simple business like a motel without a restaurant, and fancied becoming an owner of a resort motel where he could oversee a business and feel like he was on a perpetual vacation at the same time. The reality proved to be somewhat different from that happy dream, however.
The property that Lance purchased was a 65-room motel called The Windjammer. Lance decided to make no personnel changes and to keep all 20 of the motel’s staff members, who all seemed to be decent, hard-working, reliable individuals. Lance himself had never worked in a hotel or motel before, so he studied the reports and financial statements of The Windjammer carefully in order to develop an understanding of the business.
Lance noticed that on most nights the motel had a large number of unsold rooms. It intrigued him that 25 to 30 units frequently stayed vacant while the other rooms were sold successfully. Why couldn’t all or almost all of the rooms be sold? He decided to do something to address that question, and, being a former salesman, he understood the importance of motivation. He talked to Barbara, who was in charge of the front office. It was Wednesday of the first week in March. He offered her an incentive in the form of a performance bonus for each sold-out night for the rest of the month.
“I think it’s possible to fill the motel, provided I have the flexibility to use different price points,” suggested Barbara. Lance told her he wanted to sell out on as many nights as possible and authorized Barbara to use whatever tactics she saw fit—after all, she was the one with the industry experience. They agreed to discuss the March results early in April.
One day in the first week of April, Lance and Barbara reviewed the motel’s reports for March over cups of coffee in the back office behind the front desk. The Windjammer’s occupancy rate showed a record high for the whole month. The motel had produced a monthly occupancy of 86 percent! Lance could hardly contain his satisfaction. Fourteen sold-out nights! They came really close to a full house on a number of other nights as well. Lance congratulated Barbara on a job well done and handed her an envelope with a check. The performance bonus was well deserved, he thought.
Lance kept studying the monthly reports after Barbara returned to her post at the front desk. He was pleased with himself and couldn’t stop smiling—until he saw the report on room rates. He cleaned his glasses and took a closer look at the printout, because he didn’t believe his eyes at first. The motel’s posted room rate was $75 in March. After all group discounts, senior discounts, and agency commissions were factored in, Lance expected the average net rate for March to be at least in the high $50 range. Anything over $56 would have been fine with him. However, The Windjammer’s net rate was only $32.18. Lance couldn’t believe it. Clearly, Barbara had discounted frequently and heavily to sell out.
After some time for reflection and more coffee, Lance realized that March’s incentive for Barbara had involved only one key variable, which could account for the problem. He wanted to be a shrewd hotelier, and, after a chat with Barbara, she accepted the new challenge for the new month. Lance would pay her a performance bonus for April if the motel’s ADR reached $60 or more.
April was a month of softer demand, but as far as Lance was concerned the motel had a good chance to keep its rates up. A competitor motel in the area started an extensive renovation project and closed down half of its rooms as well as its outdoor pool. Also, the new highway sign for The Windjammer was finally put up, and Lance had high hopes for that as well.
April was not as busy as March had been. Anyone could see that by simply looking at the number of cars in the motel’s parking lot, which Lance had a habit of doing each night. He also noticed that the vehicle models were somewhat different in April: he saw old, beat-up cars less frequently than he had in March and noted more new-looking SUVs and import autos. He prepared for the end-of-the-month meeting with Barbara with eager anticipation.
At the meeting, Lance was impressed by the increased ADR for April. He congratulated Barbara for reaching a record ADR of $67.48, and handed her another bonus. Clearly, Barbara had stopped the practice of indiscriminate heavy discounting; this change had resulted in a dramatic ADR turnaround. In fact, she had not made any rooms available to OTAs, so the ADR was also the net rate.
Unfortunately, it was not only the ADR that changed dramatically in April. The motel’s monthly occupancy took a nose dive, dropping to 41 percent—less than half of the occupancy in March!
Lance scratched his head. He was learning the lodging business the hard way, he thought ruefully. He considered reading up on room statistics and hotel data analytics. He had recently heard about a key performance indicator called RevPAR that he needed to investigate further, and he also had read about the importance of monitoring variable costs. He knew it cost him, on average, $16 to clean one guestroom. He decided he’d better run some financial reports and look them over before discussing the next performance bonus with Barbara.

Discussion Questions
Question 1

  1. Which RevPAR is better for a hotel owner and/or a hotel manager: the one in March or the one in April? Is there a meaningful difference?
  2. Take the March hotel data (rate, occupancy, variable cost per room) and calculate it: what occupancy would be required in April with the new increased ADR to generate identical net room revenue?
  3. Take the April hotel data (rate, occupancy, variable cost per room) and calculate it: what occupancy would be required to generate identical net room revenue with the lower ADR of March?
  4. What did Lance learn after he developed the first and second performance incentives for Barbara?

Sample Solution

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