In the Malthusian model, population grows exponentially while food production grows linearly. For the Rarotonga tribe, food production is enough to support 1,167 people at the subsistence level, and each year they are able to expand food production to accommodate another 46 people. Their population is only at 858 people, but it grows by 10% each year. Assuming each member of the tribe is living at the subsistence level, what will the population of Rarotonga be after 63 years?
Q: Linda can borrow or save money at an interest rate of 10%. Consider a simple two period model in…
A: (a) Linda's budget line is given by the equation: C1 + (1 + 0.1)C2 = 20000 + (1 + 0.1)(20000 -…
Q: Suppose that a young couple has just had their first baby and they wish to ensure that enough money…
A: Step 1: The question has been solved in writing. You can put it into Excel format. (My Excel is not…
Q: Nikole has already saved $20,900 in her RRSP today. Suppose she plans to continue adding $1,994 at…
A: The monthly rate of return refers to the minimum return to be earned by the investors on the…
Q: ur client has asked you what would be needed to fund your 2 children’s future college costs. Assume…
A: Future planning is needed for the education of the children and you have to save for that.
Q: Albert has told you that one of his goals is to start his own business within three years. He has…
A: We need to compute the present value of $7,000 discounted @5.5% p.a for 5 years to determine how…
Q: In 2023, Laureen is currently single. She paid $2,720 of qualified tuition and related expenses for…
A: Education tax Credits:The education tax credit can be availed by those taxpayers who are paying…
Q: You are thinking of starting Peaco, which will produce Peakbabies, a product that competes with Ty's…
A: Payback period refers to the time period at which the initial investment will be recovered by the…
Q: A father is now planning a savings program to put his daughter through college. She is 13, plans to…
A: Current annual cost is $20,000 and these costs expected to increase by 7% annually. College starts 5…
Q: How does the discount rate affect the farmer's decision of whether or not to utilize erosion control…
A: The discount rate will affect the farmer's decision to utilize erosion control methods in a direct…
Q: You run a school in Florida. Fixed monthly cost is $5,201.00 for rent and utilities, $6,083.00 is…
A: Mainly there are two types of costs being incurred by the business. One is fixed costs and other is…
Q: monthly nominal rate of return must his investment earn for him to achieve his goal? 2. If the…
A: Present value refers to the value present today of the future stream of payments based on the…
Q: A group of farmers in Inverness is considering building an irrigation system from a water supply in…
A: Internal rate of return (IRR) is the rate of discount which makes the net present value of the…
Q: Paul Adams owns a health club in downtown Los Angeles. He charges his customers an annual fee of…
A: The time value of money is used in finance when the value of a certain amount of money is to be…
Q: young married couple wishes to set up a fund that can be used for various home equipment purchases…
A: Value today is the present value of cash flow from the fund based on the time and cash flow from the…
Q: A widow currently has a $80,000 investment that yields 6 percent annually. Can she withdraw $12,000…
A: To calculate annual withdrawal, present value of annuity formula is used. r is interest rate and n…
Q: You run a school in Florida. Fixed monthly cost is $5,730.00 for rent and utilities, $6,137.00 is…
A: The indifferent point also known as the break-even point is the point of sales where there is no…
Q: Question 1 What would be the better outcome, renting or buying and by how much? (Show your work and…
A: Pierre is deciding on whether he should buy a house or rent it. If rented the expense will be $1500…
Q: how many oranges would Daniel need to sell to generate a profit that is equal to 10 percent of…
A: Let us assume that sales = 'x'. Then profit = 0.1x (x*10%) Variable cost = 0.4x (x*40%) Profit =…
Q: rk saves a fixed percentage of his salary throughout each year. This year he saved $1500. For the…
A: Future value of the money is the amount of deposit done and amount of interest accumulated over the…
Q: Felice lives and works for two periods. In the first period, she earns 220 coconuts and in the…
A: Standard disclaimers “Since you have asked multiple question, we will solve the first question for…
Q: Problem 4: A piece of equipment used in a business has a first cost of P 50,000 and is expected to…
A:
Q: You have an absolutely brilliant child who is six years old and will be attending a private college…
A: future value formula: future value = present value×1+rn where, r=rate of interest n=number of years
Q: Mary is considering opening a hobby and craft store. Mary plans to operate the business for six…
A: Annual depreciation = (Cost-salvage value)/life years = (175000-20000)/6 = $25,833.33
Q: Sandy, a manufacturing engineer, just received a year-end bonus of $10,000 that will be invested…
A: The amount of funds that will be available in 20 years can be found using the future value…
Q: $500,000 and its price is growing at 5 percent per year. How much should Suzy invest in a project at…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Edward has invented and patented a unique machine that will allow farmers to increase the yield on…
A: NPV stands for Net Present Value, and it is a financial metric used to determine the profitability…
Q: You gave your little sister two rabbits for Easter seven years ago and now she has 84 of the cute…
A: In order to find the annual rate of increase one needs to calculate how exponentially the number…
Q: effective annual interest rate is 6.65% and is nominal. a. Suppose the couple invests money on her…
A: The time value of money recognizes the idea that the value of an amount of money today differs from…
Q: 5. Suppose the average Social Security benefits in the nation are $12,000 per year. The number of…
A: Dependency ratio refers to the ratio of dependents to the working-age population in a given society…
Q: Your friend has almost convinced you to invest in his palm tree farm. It would require a 4,000 (OMR)…
A: Capital budgeting techniques are the techniques used to compute the attractiveness of long-term…
Q: You have an absolutely brilliant child who will be attending a private college in 11 years. You know…
A: Future Value:Future Value is the value of current money in the future. The future value calculation…
Q: Wally loves your analysis. He has now asked you to evaluate potential new project investments. Both…
A: PAY BACK PERIOD Payback Period - It is the duration of the project life within which the initial…
Q: You run a school in Florida. Fixed monthly cost is $5,128.00 for rent and utilities, $5,990.00 is…
A: We have to find in per cent the new charge compared to the previous charge. Hence, the Cost data is…
Q: Paul Adams owns a health club in downtown Los Angeles. He charges his customers an annual fee of…
A: The time value of money is used in finance when the value of a certain amount of money is to be…
Q: Mary is considering opening a hobby and craft store. Mary plans to operate the business for six…
A: Net annual cash flow is defined as the difference among the cash inflows and cash outflows of the…
Q: Required: Bob makes $90,000 a year in income at age 50, and his salary is growing at 5 percent per…
A: Descriptive analysis deals with historical data and describing past events.Diagnostic analysis seeks…
Q: Farmers are fighting a fungal growth that can cause crop failure. If 7,663 hectares of farmland are…
A: The gradual decrease may become a form of a progression or series. The successive terms of the…
Q: Kath is considering investing 500,000.00 to open a Milk Tea Station near a mall. Based on her…
A: The rate of return method is the method by which we calculate the yearly returns and check them…
Q: You gun a school in Florida. Fixed monthly cost is $5,689.00 for rent and utilities, $5,807.00 is…
A: The management uses indifferent points when the decision is to be taken regarding selecting between…
Q: Youngs want to know the cost of college education for the two children so that they can approach…
A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…
Q: Paul Adams owns a health club in downtown Los Angeles. He charges his customers annual fee of $850…
A: The time value of money is used in finance when the value of a certain amount of money is to be…
Q: Today, you start working for University of Houston as administrative staff. You decided to invest…
A: Variables in the question:DescriptionDataPMT ($)500Rate p.a.6%N (years)35
Step by step
Solved in 2 steps
- a) Anu wants to put aside an amount at the beginning of each month while working for the next 5 years (60 months). At the end of 60 months, she wants to start a business and she plans to have a budget for it of at least $50,000. How much should she put aside each month if interest payable on her savings is 0.125% per month? [Hint: think about a Geometric Sequence (GP).] (Give your answer to 2 decimal places.) b) Suppose that the sum of $100 is invested at an annual rate of interest of 10%. Calculate the value of the investment in 5 years’ time if the interest is compounded (i) weekly and (ii) semi-annually Show all your calculations. (Give your answer to 2 decimal places.)please answer question 1,2 and 3 An electrical component manufacturer budgets to sell 35,000 units although the factory has the capacity to produce 40,000 units under normal circumstances. Direct costs per unit are as follows: Wages $2.00 Materials $8.00 Overheads $4.00 Fixed costs for the period are expected to be $200,000. The selling price is $22 per unit. You are going to: Calculate how many units must be made and sold in order to breakeven during the period and then express the information on a CVP chart. 2. Ascertain the budgeted profit for the period, if 35,000 units are sold. 3. State the number of units to be manufactured when the amount of capital invested in this production is $640,000 and the directors require a 20% return on capital employed.Aunt Tillie has deposited $33,000 today in an account which will earn 10 percent annually. She plans to leave the funds in this account for seven years earning interest. If the goal of this deposit is to cover a future obligation of $65,000, what recommendation would you make to Aunt Tilie? China Manufàcturing Agents, Inc. is preparing a five-year plan. Today, sales are $1,000,000. If the growth rate in sales is projected to be 10 percent over the next five years, what wil the dollar amount of sales be in year five? Dan and Jia are newlyweds and have just purchased a condominium for $70,000. Since the condo is very small, they hope to move into a single-family house in 5 years. How much will their condo worth in 5 years if inflation is expected to be 8 percent? You deposit $17,000 each year for 10 years at 7%. Then you earn 9% after that. If you Jeave the money invested for another 5 years how much will you have in the 15th year? If you deposit $45,000 into an account earming 4%…
- A young couple just had their first baby and is looking for additional income. They are considering renting out the space above their garage as an apartment. To convert the space, the couple will have to invest $30,000.00 today. It will take one year before they can begin renting the space. Let’s suppose that they can rent the apartment for $5,000.00 per year for ten years. (first payment will be in one year)). What is the IRR of this investment?Wally loves your analysis. He has now asked you to evaluate potential new project investments. Both projects aim to make widgets. Widgets sell for $10 each. Project A will produce 4,500 units in the first year, 6,500 units in the second and third years and a whopping 44,000 units in the fourth year. Project A requires an investment of 3 machines each costing $25,000. Project B will produce 2,400 units in the first year, 2,200 units in the second year, 1,950 units in the third year and 1,460 units in the fourth year. Project B requires an initial investment of 1 machine worth $25,000. Wally has said that to make the analysis easier - you need not calculate depreciation on the machine, the tax shelter benefit or the residual value of the machine at the end of production. Wally just said I want you understand the cash flows from the information provided above. (a) Calculate the net present value for each of Project A and Project B, assuming a 15% cost of capital. (b) What is the IRR of…Each of the following situations is independent. Work out your own solution to each situation, and thencheck it against the solution provided.2. The Morgans would like to send their daughter to a music camp at the end of each of the next fiveyears. The camp costs $1,000 a year. What lump-sum amount would have to be invested now to have$1,000 at the end of each year if the rate of return is:a. Eight percent?b. Twelve percent?
- 3. A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a government bond that pays 15% per year. Or they can buy a llama, send it onto the commons to graze and then sell it after one year. The price the villager gets for selling the llama depends on quality of fleece it grows. The quality of fleece depends on how many llamas are grazing. At the end of the year the villager will have $115 if they buy the bond or $109-$122 if they buy the llama depending on how many llamas are purchased Number of Llamas 1 2 3 4 5 6 Price per Llama 122 118 116 114 112 109 a. If each villager decides individually how to invest, how many llamas will be sent onto the commons and what will be the net village income? b. What is the socially optimal number of llamas for this village? c. The village committee votes to auction the right to graze the llamas to the highest bidder. How much will the grazing right sell for? What will be the net…Imagine you are a philanthropist who would like to donate to a charity that provides shelter and assistance to homeless individuals. You would like to donate enough money to the charity to ensure that they can provide shelter for 12 homeless individuals every year in perpetuity. The cost of providing shelter per individual is $60 per day. If your investment fund pays a return of 2% per year, how much do you need to donate to the charity now so that they can provide shelter for 1200 individuals every day in perpetuity? Enter your answer to the nearest cent (two decimal places)A family spends $30,000 a year for living expenses. If prices increase by 5 percent a year for the next three years, what amount will the family need for their living expenses after three years?
- A father is now planning a savings program to put his daughter through college. She is 13, plans to enroll at the university in 5 years, and she should graduate 4 years later. Currently, the annual cost (for everything - food, clothing, tuition, books, transportation, and so forth) is $15,000, but these costs are expected to increase by 6% annually. The college requires total payment at the start of the year. She now has $9,000 in a college savings account that pays 8% annually. Her father will make six equal annual deposits into her account; the first deposit today and sixth on the day she starts college. How large must each of the six payments be? (Hint: Calculate the cost (inflated at 6%) for each year of college and find the total present value of those costs, discounted at 8%, as of the day she enters college. Then find the compounded value of her initial $9,000 on that same day. The difference between the PV of costs and the amount that would be in the savings account must be…The Jeffersons have asked you what would be needed to fund the children’s future college costs. Assume each child will begin college at age 18 and graduate in four years. Assume current costs are $24,000 per year and are expected to increase by 5% per year and investments earn 7%. A. Assuming no existing assets are dedicated to college, what is the annual savings amount required to fund the children’s education? The Jeffersons’ goal is to have an amount at the beginning of the freshman year for each child that is sufficient to fund a serial payment covering the $24,000 of current costs of college adjusted for inflation for each of the four years of college. Please include your calculator keystroke inputs [PV, I/YR, N, FV, and PMT (if needed)] for each step of this calculation. Also include whether any PMTs are in the end mode or the begin mode. B. What would you say to the Jeffersons about their education funding situation? Write a script of a single paragraph as if you…1. Sarah aims to acquire, in 8 years, a special gadget priced today at 300 units in the local currency, with its cost rising by 6% annually due to market trends. To save for this, she plans to deposit 25 units into a savings account at the start of each of the initial 5 years. Additionally, she intends to contribute an unspecified amount, denoted as Y, at the end of the 3rd and 4th years to reach her goal. Her savings account offers a 12% annual equivalent rate. What is the value of Y needed to achieve her goal?