A business is planningto purchase a piece of equipment that will produce a continuous stream ofincome for 6 years with rate of flow f(t) = 12348. Assume the continuous income stream earns6.85%, compounded continuously.A. Find the future value of f(t) after 6 years and interpret the result. First, write an expressionfor the definite integral you must evaluate to answer this question.and bb)da, where a =The future value of the investment afteryears is $(Round your final answer to 4 significant figures. For example, an answer like $1,244, 252.02would become $1,244,000.00.)B. Find the present value of the continuous income stream. That is, what single deposit into anaccount earning the same interest rate will produce the same future value as the continousincome stream?To answer this question you must solve the equation(Use P to represent the principal amount invested.)In order to match the Sthat will be earned by the continous income stream overyears, you would need a present value (a single deposit) of $(Round your final answer to 4 significant figures. For example, an answer like $1, 244, 252.02would become $1, 244, 000.00.)

Step 1:We can calculate the integral to find the future value Step 2:To calculate this, we simply…

Answered: A business is planningto purchase a…

Principles of Accounting Volume 2

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Chapter11: Capital Budgeting Decisions

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Problem 5PB: Mason, Inc., is considering the purchase of a patent that has a cost of $85000 and an estimated...

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Mason, Inc., is considering the purchase of a patent that has a cost of $85000 and an estimated revenue producing lite of 4 years. Mason has a required rate of return that is 12% and a cost of capital of 11%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?
Falkland, Inc., is considering the purchase of a patent that has a cost of $50,000 and an estimated revenue producing life of 4 years. Falkland has a cost of capital of 8%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?
Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the investment's value has decreased to $6,800 by the end of the year. (a) What is the rate of return for this investment? (Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.) Rate of return % (b) Is the rate of return a positive or negative number? Positive O Negative
Assume that at the beginning of the year, you purchase an investment for $6,300 that pays $130 annual income. Also assume the investment's value has increased to $6,900 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Is the rate of return a positive or a negative number? Positive Negative
You plan to invest in an account which pays 3.5% compounded continuously. If the investment period is for 12 years, then A(P) = P e 0.035 · 12 = P e 0.42 gives the total balance of P dollars. Find a formula for A'(P). Find and interpret A'(4000). Compare the approximation to the actual change. a. b. С. a. A'(P) =| (Type an exact answer in terms of e.) b. A'(4000) = %3D (Round to the nearest cent as needed.) Interpret A'(4000) = 1.52 O A. The future value of a 13 year investment of $4001 will be $ more than the future value of a 13 year investment of $4000. O B. The future value of a 13 year investment of $4000 will be $ more than the future value of a 13 year investment of $4000. O C. The future value of 12 year investment of $4000 at 4.5% will be $ more than the future value of a 12 year investment of $4000 at 3.5%. O D. The future value of a 12 year investment of $4001 will be $ more than the future value of a 12 year investment of $4000. c. A(4001) – A(4000) = dollars per year.…
A business is planning to purchase a piece of equipment that will produce a continuous stream of income for 8 years with rate of flow f(t) = 9,000. If the continuous income stream earns 6.65%, compounded continuously, what single deposit into an account earning the same interest rate wi produce the same future value as the continuous income stream? (This deposit is called the present value of the continuous income stream.) What is the future value of the investment? $ (Round to the nearest dollar as needed.) What is the present value of the investment? (Round to the nearest dollar as needed.)
b1. F = Pert , which assumes continuous compounding, says that the Future value (F) of an amount (P) invested today at an annual rate (r), expressed as a decimal for the time (t), in years is given by the function. Thus if you invested $100 at the annual rate of 5 1/2% for 6 years and 3 months you would get back (at the end of the time), F = $100e(0.055)(6.25) = $100e(0.3438) = $100(1.4102) = $141.02. If you invest $15000 today, what amount does the formula say you will get back if you leave it for 5 years and 3 months in a savings account paying 4 1/2% annually?
An investor is presented with an investment proposal which produces a continuous income stream of 10%, compounded continuously for 10 years. The rate of flow of the income from the investment is f(t) = 9000e0.04. 1) Determine the future value of the investment. 2) Compute the interest earned.
Returns of a Single Asset. Suppose you have invested in 2 assets whose annual returns are shown in the following table. If you invest $1000 in each asset: What will be the value of each asset at the end of year 5? What is the single annual rate which would yield the same value at the end of year 5? (meaning, what is the geometric average annual rate of return?) Year Asset A Asset B 1 -6.01% -9.98% 2 -10.27% 12.30% 3 13.75% 18.15% 4 24.31% -1.69% 5 20.88% 5.00% please use excel
Consider an initial investment of $100 using an accumulation function which is a second-degree polynomial. You are given that the future values of this investment at the end of six months and the first year are $120 and $150, respectively. Determine the present value of 100$ which is paid at time -15.
Assume that at the beginning of the year, you purchase an investment for $6,500 that pays $95 annual income. Also assume the investment's value has increased to $7,050 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.
Suppose you save $2,800 ayear for 43 years into an investment account that earns 8.5% return, how much will you have at the end of the periods? Formula? Excel Function?

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