ACC 1 D9

Assume that you are employed by the government of Tanzania in 1964, a new nation recently independent from Britain. The Tanzanian parliament has decided that it will spend 10 million shillings on schools, roads, and healthcare for the year. You estimate that the net taxes for the year are eight million shillings. The difference will be financed by selling 10-year government bonds at 12% interest per year. The interest on outstanding bonds must be added to government expenditure each year. Assume that additional taxes are added to finance this increase in government expenditure so the gap between government spending is always two million. If the school, road, and healthcare budget are unchanged, compute the value of the accumulated debt in 10 years.

Consider company ABC. Today it is 1st of January 2023 and ABC has just paid a dividend of £3 million. The expected earnings of ABC for the next 30 years are forecast to grow at a rate of 15% per annum. From 1st of January 2053 and onwards the earnings of ABC are expected to grow at a rate of 5%. The required rate of return of ABC is 12% per annum. The current dividend policy of ABC is such that they pay out 50% of its earnings as dividends (assume that they pay their dividends on 1st of January every year). a)  Suppose that the dividend payout ratio is expected to stay constant in the future. What is the value of ABC stock? Show and explain your calculations and any assumptions you make.   b)  Just after the dividend payment on 1st of January 2043, ABC is planning to reduce their dividends and only pay out 40% of its earnings. What is the value of ABC under the new dividend policy?   c)  Provide a recommendation to the management of ABC as to whether they should increase/cut back on…

The Rosy company, is planning to start an egg packing factory in the country of Bevery. The initial investment for the egg packing factory is $5Million and it will generate net revenues for every year for the next 10 years starting as $1M in the first year, and increasing by $0.5Million every year (e.g, 1M, 1.5M, 2M, 2.5M...). Currently £1 is equal to $20. However, the $ is being devalued (losing value) against the £ by 12% every year (so next year £1 will be $22.4 ). If Rosy company has a MARR of 30% in Bevery, what is the PW of this egg packing factory in £?

A firm decides to pay total dividends of $100,000 in period 1 and $471,000 in period 2. Charlie owns 10% of the firm and has no other wealth or income. What is Charlie’s maximum period 2 consumption (C2) if the market rate of return (i) is 10.00% and he plans to consume $7,000 in period 1 (C1)?

Treasury securities are issued and backed by the U.S. government and, therefore, are considered to be the lowest-risk securities on the market. As an investor looking for protection against inflation, you are considering the purchase of inflation-adjusted bonds known as U.S. Treasury Inflation-Protected Securities (TIPS). With these securities, the face value (which is paid at maturity) is regularly adjusted to account for inflation; however, the semiannual interest payment (called the bond dividend) remains the same. You purchased a 10-year $10,000 TIPS bond with dividend of 4% per year payable semiannually (i.e., $200 every 6 months). Assume there is no inflation adjustment for the first 5 years, but in years 6 through 10, the bond face value increases by $1200 each year. You use an expected investment return of 14.5% per year compounded semiannually. What will be the equivalent future worth of the total money received with dividend reinvestment included? The future worth of all the…

Yogajothi is thinking of investing in a rental house. The total cost to purchase the house, including legal fees and taxes, is $240,000. All but $30,000 of this amount will be mortgaged. He will pay $1700 per month in mortgage payments. At the end of two years, he will sell the house and at that time expects to clear $50,000 after paying off the remaining mortgage principal (in other words, he will pay off all his debts for the house and still have $50,000 left). Rents will earn him $2500 per month for the first year and $2900 per month for the second year. The house is in fairly good condition now, so he doesn't expect to have any maintenance costs for the first six months. For the seventh month, Yogajothi has budgeted $500. This figure will be increased by $50 per month thereafter (e.g., the expected month 7 expense will be $500, month 8, $550, month 9, $600, etc.). If interest is 6 percent compounded monthly, what is the present worth of this investment? Given that Yogajothi's…

A bank agrees a repurchase agreement (Repo) with its prime broker using £30 million of Mortgage Backed Securities as collateral for a period of 50 days. The prime broker levies a haircut of 10 per cent and charges an annual Repo rate of 4.5 per cent. What is the price at which the bank will repurchase the £30 million MBS at the end of 50 days when the Repo rate interest applies only on the sum of money being lent by the prime broker ? Use a 360 day-count.

Yogajothi is thinking of investing in a rental house. The total cost to purchase the house, including legal fees and taxes, is $230,000. All but $20,000 of this amount will be mortgaged. He will pay $1500 per month in mortgage payments. At the end of two years, he will sell the house and at that time expects to clear $40,000 after paying off the remaining mortgage principal (in other words, he will pay off all his debts for the house and still have $40,000 left). Rents will eam him $2500 per month for the first year and $2800 per month for the second year. The house is in fairly good condition now, so he doesn't expect to have any maintenance costs for the first six months. For the seventh month, Yogajothi has budgeted $300. This figure will be increased by $30 per month thereafter (e.g., the expected month 7 expense will be $300, month 8, $330, month 9, $360, etc.). If interest is 6 percent compounded monthly, what is the present worth of this investment? Given that Yogajothi's…

Economics Assume will get 20 rental payments paid over 20 years at the beginning of each year. Initially, the rent equals R=$12; but it will grow at a rate of 1% per year. The NPV of this income stream equals $170.20. What is your discount rate? Provide your answer as percentage with two decimals, e.g., 1.23% (or 0.0123) you

Joe is self-employed in a store that has a rental value of $500 a month which he pays, but he can vacate the building without giving notice. His other expenses are $100 a month for maintenance. He makes $25,000 a year on net sales (total revenue minus the wholesale cost of the product). If he quit his job and worked the same number of hours elsewhere at a job he liked equally well, he estimates that he could make $20,000 a year. No one else can be hired to work in the store. Joe should A B C D quit his job. keep the job. work part-time. It is impossible to say with the information given in the problem

Assume r = 0.1 is the present real interest rate and this rate is expected to prevail for the next 2 years. The monetary return (i.e. marginal revenue product) on machine A is expected to be R1 = $100,000 for year 1 and R2 = $50,000 for year 2. The present discounted value (PDV) of the net revenue flow from machine A to its owner is equal to ???

Suppose Dariya is a fan of young-adult fiction and buys only young-adult books. Dariya deposits $4,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a young-adult book has a price of $10.00. Initially, Dariya's $4,000 deposit has a purchasing power of young-adult books. For each of the annual inflation rates given in the following table, first determine the new price of a young-adult book, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dariya's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest young-adult book. For example, if you find that the deposit will cover 20.7 young-adult books, you would round the purchasing…

Ben is a retired budget auditor who is currently looking for a new investment opportunity. He is considering two investments: Calzone Zone, a small restaurant specialising in calzone, and Icetown, a skating and curling rink. The projected cash flows of the two investments are shown below. Ben can only choose one projects, so he asks for your help and advice in reaching a decision on which investment to accept. He tells you he requires a 5% rate of return on his investment. Calzone Icetown Zone Cash flows £000 £000 Initial investment (885) 150 (300) 215 Cash flows year 1 Cash flows year 2 Cash flows year 3 Cash flows year 4 Cash flows year 5 195 215 200 230 265 215 215 (585) Assume the initial investment arises at the start of the first year of the project and all the subsequent cash flows occur at the end of the year. Question A. What are the economic factors reflected in the required rate of return? Discuss the likely effects of the economic shock brought by the COVID-19 pandemic on…

Shen is a tenured faculty member who teaches molecular physics at a university where he earns an annual salary of $160,000. He intends to take the next year off to focus on writing a new undergraduate physics textbook, so he will not earn any income next year. He is currently deciding how much of this year's salary he should save for next year. Assume that there are no tax implications associated with the decision, and ignore what happens after next year. Therefore, next year Shen will consume whatever he saves this year plus interest, and he is not concerned with the future beyond next year The following graph shows Shen's preferences for consumption this year and next year. Suppose initially Shen cannot earn interest on the money he Use the green line (triangle symbol) to plot Shen's budget constraint (BC) on the following graph. Then use the black point (plus symbol) to show his optimum consumption bundle. Note: Dashed drop lines will automatically extend to both axes. CONSUMPTION…

Musashi is a tenured faculty member who teaches particle physics at a university where he earns an annual salary of $200,000. He intends to take the next year off to focus on writing a new undergraduate physics textbook, so he will not earn any income next year. He is currently deciding how much of this year's salary he should save for next year. Assume that there are no tax implications associated with the decision, and ignore what happens after next year. Therefore, next year Musashi will consume whatever he saves this year plus interest, and he is not concerned with the future beyond next year. The following graph shows Musashi's preferences for consumption this year and next year. Suppose initially Musashi cannot earn interest on the money he saves. Use the green line (triangle symbol) to plot Musashi's budget constraint (BC1BC1) on the following graph. Then use the black point (plus symbol) to show his optimum consumption bundle. Note: Dashed drop lines will automatically…

"A corporation is trying to decide whether to buy the patent for a product designed by another company. The decision to buy will mean an investment of $9.6 million, and the demand for the product is not known. If demand is light, the company expects a return of $2 million each year for the first three years and no return in the fourth year. If demand is moderate, the return will be $2.73 million each year for four years, and high demand means a return of $5.4 million each year for four years. It is estimated the probability of a high demand is 0.47, and the probability of a light demand is 0.21. The firm's interest rate is 15.7%.Calculate the expected present worth of the patent. Express your answer in millions of dollars. For example, if the answer is $12.3 million, enter 12.3. (All figures represent after-tax values.)"

Joseph and three other friends bought a $290,000 house close to the university at the end of August last year. At that time, they put down a deposit of $20,000 and took out a mortgage for the balance. Their mortgage payments are due at the end of each month (September 30, last year, was the date of the first payment) and are based on the assumption that Joseph and his friends will take 20 years to pay off the debt. Annual nominal interest is 6 percent, compounded monthly. It is now February. Joseph and his friends have made all their fall-term payments and have just made the January 31 payment for this year. How much do they still owe? Click the icon to view the table of compound interest factors for discrete compounding periods when i = 0.5%. They will owe $ (Round to the nearest dollar as needed.)

Your firm has the opportunity to buy a perpetual motion machine to use in your business. The machine costs $1,000,000 and will increase your profits by $75,000 per year. What is the internal rate of return? Instructions: Enter your response as a percent rounded to one decimal place. The internal rate of return is percent.

You plan to purchase a car for $28,000. Its market value will decrease by 20% per year. You have determined that the IRS-allowed mileage reimbursement rate for business travel is about right for fuel and maintenance at $0.505 per mile in the 1st year. You anticipate that it will go up at a rate of 10% each year, with the price of oil rising, influencing gasoline, oils, greases, tires, and so on. You normally drive 15,000 miles per year. Your MARR is 9%.

Suppose you are moving into a new apartment that you expect to rent for five years. The owner of the apartment offers to provide you with a used refrigerator for free and promises to maintain and repair the refrigerator during the next five years. You also have the option of buying a new energy- efficient refrigerator (with a five-year free maintenance agreement) for $600. The new refrigerator will reduce your electric bill by $150 per year and will have a market value of $50 after five years. The interest rate is 12%. Use the preceding information to calculate the present value of the cost saving and resale value of the refrigerator. Then decide if the investment is worthwhile, given the present value of the cost of the refrigerator. At this interest rate, the present value of cost saving and resale value of the new refrigerator is about present value of the cost of the refrigerator. Thus, you should choose the refrigerator. which is than the

Suppose Dariya is an avid reader and buys only reusable tote bagses. Dariya deposits $2,000 into a savings account that pays an annual nominal interest rate of 10%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a reusable tote bags has a price of $20.00. Initially, Dariya's $2,000 deposit has a purchasing power of reusable tote bagses. For each of the annual inflation rates given in the following table, first determine the new price of a reusable tote bags, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dariya's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest reusable tote bags. For example, if you find that the deposit will cover 20.7 reusable tote bagses, you would round the purchasing…

Suppose Poornima is an avid reader and buys only comic books. Poornima deposits $3,000 in a bank account that pays an annual nominal interest rate of 10%. Assume this interest rate is fixed-that is, it won't change over time. At the time of her deposit, a comic book is priced at $15.00. Initially, the purchasing power of Poornima's $3,000 deposit is comic books. For each of the annual inflation rates given in the following table, first determine the new price of a comic book, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Poornima's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest comic book. For example, if you find that the deposit will cover 20.7 comic books, you would round the purchasing power down to 20 comic books under the assumption that Poornima will…

Please answer everything in the photos.

Suppose the market value of a growing tree at time t is a function f(t, x), where a is expenditure on tree trimming at t = 0. (Think of a as an investment at t=0 that generates a return in the form of increased tree growth.) Assuming continuous compounding of the interest rater, the present discounted value of profit earned from harvest (or sale) of the tree at time t is V(t, x) = f(t, x)et - x. a. What are the first-order conditions for V(t, x) to have a maximum at t* > 0 and > 0? b. What are the first-order conditions if f(t, x) takes the separable form f(t, x) = g(t)h(x), with g(t) > 0 andh(x) > 0? c. In the separable case, show that g/(t*) < r²g(t*) and h(*) < 0 are sufficient conditions for a critical point (t*, *) to be a local maximum point for V. d. Find t* and ** when g(t) = evt and h(x) = ln(x + 1), and check the local second-order conditions. Please do fast ASAP fast

You work for a bank that has just made two loans. In one, you lent $900 today in return for $1200 in one year. In the other, you lent $900 today in return for $10000 in 20 years. The difference between the loan amount and repayment amount is based on an interest rate of 8% per year. Imagine that immediately after you make the loans, news about economic growth is announced that increases inflation expectations, so that the market interest rate for loans like these jumps to 10%. Loans make up a major part of a bank’s assets, so you are naturally concerned about the value of these loans. What is the effect of the interest rate change on the value to the bank of the promised repayment of these loans?

How does IRR (internal rate of return rule) differentiate from NPV (net present value rule) when deciding profitable investments? Is there a specific rule preferred or do they tend to give the same answer? Thank you so much im trying to understand them better.