Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide,...
Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide, and given: an arithmetic gradient value, G = $5,000, an interest rate, i=10% per year, and a time period, n=5 years, and a Present Worth, P=?, that is unknown, (a) construct a cash flow diagram (CFD), and (b) calculate the unknown Present Worth, P=?, using the Arithmetic Gradient Present Worth formula, showing all algebraic steps in your Solution.
Homework Answers
a) The cash flow diagram shall be as below:
(b)
Present worth of uniform series = Annual payment * {1-(1+r)-n}/r
r = rate of interest = 10%
n = time period = 5 years
Present worth of uniform series = $5,000*(1-1.1-5)/0.1 = $31050
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Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide,...
Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide,...
Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide, and given: a geometric gradient value, g = 10%, an initial uniform series value A1 = $5,000, an interest rate, i=10% per year, and a time period, n=5 years, and a Present Worth, P=?, that is unknown, (a) construct a cash flow diagram (CFD), and (b) calculate the unknown Present Worth, P=?, using the Geometric Gradient Present Worth formula, showing all algebraic steps in...
Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide,...
Referencing the Relations for Discrete Cash Flows with End of Period Compounding posted as a guide, and given: an arithmetic gradient value, G = $5,000, an interest rate, i=10% per year, and a time period, n=5 years, and a Uniform Series, A=?, that is unknown, (a) construct a cash flow diagram (CFD), and (b) calculate the unknown Uniform Series, A=?, using the Arithmetic Gradient Uniform Series formula, showing all algebraic steps in your Solution.
Write the expression for the cash flow. 7) (25 points) First draw a cash flow diagram...
Write the expression for the cash flow.
7) (25 points) First draw a cash flow diagram for the cash flow series shown below. Then write an expression (e.g., P 500(P/A 5%, 3)+100(P/G 5%, 3) + ...) for the present worth of the following cash flow series. You must use at least one uniform series factor, one arithmetic gradient series factor, and one geometric gradient series factor. i=5% per period. No calculations are needed. EOY Cash Flow 4 5,00025,000 15,000 13,500...
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Problem 12-12 (algorithmic) Question Help The tree diagram in figure below describes the uncertain cash flows for an engineering project. The analysis period is two years, and MARR = 12% per year. Based on this information, a. What are the E(PW), V(PW), and SD(PW) of the project? b. What is the probability that PW20? WClick the icon to view the tree diagram. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 12%...
Problem 12-12 (algorithmic) The tree diagram in figure below describes the uncertain cash flows for an...
Problem 12-12 (algorithmic) The tree diagram in figure below describes the uncertain cash flows for an engineering project. The analysis period is two years, and MARR 15 % per year . Based on this information, a. What are the E(PW), V(PW), and SD(PW) of the project? b. What is the probability that PW 20? Click the icon to view the tree diagram. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15...
Consider the accompanying cash flow diagram. Compute the equivalent annual worth at i= 10 % 6....
Consider the accompanying cash flow diagram. Compute the equivalent annual worth at i= 10 % 6. $5,000 $6,000 $4,000 $3,000 2 4 56 Years $3,000 Click the icon to view the interest factors for discrete compounding when i 10% per year The equivalent annual worth is $ (Round to the nearest dollar.) 8: More Info Equal Payment Series Single Payment Gradient Series Gradient Present Compound Present Compound Amount Sinking Present Capital Recovery Gradient Worth Fund Worth Uniform Amount Factor Factor...
Consider the after-tax cash flows shown in the table below. Click the icon to view the...
Consider the after-tax cash flows shown in the table below. Click the icon to view the cash flows for the projects. Click the icon to view the interest factors for discrete compounding when i = 8% per year. (a) Compute the project balances for Projects A and D, as a function of project year, at i = 8%. Fill in the table below. (Round to the nearest dollar.) Project Balances А D n 0 $ $ 1 $ 2 $...
A company is considering investing $15,000 in a heat exchanger. The heat exchanger will last five...
A company is considering investing $15,000 in a heat exchanger. The heat exchanger will last five years, at which time it will be sold for $2,000. The maintenance cost at the end of the first year is estimated to be $1,000 Maintenance costs for the exchanger are estimated to increase by $1,000 per year over its life. As an alternative, the company may lease the equipment for $X per year, including maintenance, with the annual payments to made at the...
A small high-speed commercial centrifuge has the following net cash flows and abandonment values over its useful life....
A small high-speed commercial centrifuge has the following net cash flows and abandonment values over its useful life. The firm's MARR is 12% per year. Determine the optimal time for the centrifuge to be abandoned if its current MV is $7,500 and it won't be used for more than five years. End of Year - 1 2 3 4 Annual revenues less expenses $2,000 $2,000 $2,000 $2,000 Abandonment value of machine $6,100 5,000 $4,000 $2,400 Estimated MV. Click the icon...
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What is an annuity? Select one: a. present worth of a series of equal payments. b. a single payment. c. a series of payments that changes by a constant amount from one period to the next. d. a series of equal payments over a sequence of equal periods. e. a series of payments that changes by the same proportion from one period to the next. Question 2 The present worth factor Select one: a. gives the future value equivalent to...
Write the expression for the cash flow.
7) (25 points) First draw a cash flow diagram for the cash flow series shown below. Then write an expression (e.g., P 500(P/A 5%, 3)+100(P/G 5%, 3) + ...) for the present worth of the following cash flow series. You must use at least one uniform series factor, one arithmetic gradient series factor, and one geometric gradient series factor. i=5% per period. No calculations are needed. EOY Cash Flow 4 5,00025,000 15,000 13,500...
Problem 12-12 (algorithmic) Question Help The tree diagram in figure below describes the uncertain cash flows for an engineering project. The analysis period is two years, and MARR = 12% per year. Based on this information, a. What are the E(PW), V(PW), and SD(PW) of the project? b. What is the probability that PW20? WClick the icon to view the tree diagram. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 12%...
Problem 12-12 (algorithmic) The tree diagram in figure below describes the uncertain cash flows for an engineering project. The analysis period is two years, and MARR 15 % per year . Based on this information, a. What are the E(PW), V(PW), and SD(PW) of the project? b. What is the probability that PW 20? Click the icon to view the tree diagram. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 15...
Consider the accompanying cash flow diagram. Compute the equivalent annual worth at i= 10 % 6. $5,000 $6,000 $4,000 $3,000 2 4 56 Years $3,000 Click the icon to view the interest factors for discrete compounding when i 10% per year The equivalent annual worth is $ (Round to the nearest dollar.) 8: More Info Equal Payment Series Single Payment Gradient Series Gradient Present Compound Present Compound Amount Sinking Present Capital Recovery Gradient Worth Fund Worth Uniform Amount Factor Factor...
Consider the after-tax cash flows shown in the table below. Click the icon to view the cash flows for the projects. Click the icon to view the interest factors for discrete compounding when i = 8% per year. (a) Compute the project balances for Projects A and D, as a function of project year, at i = 8%. Fill in the table below. (Round to the nearest dollar.) Project Balances А D n 0 $ $ 1 $ 2 $...
A company is considering investing $15,000 in a heat exchanger. The heat exchanger will last five years, at which time it will be sold for $2,000. The maintenance cost at the end of the first year is estimated to be $1,000 Maintenance costs for the exchanger are estimated to increase by $1,000 per year over its life. As an alternative, the company may lease the equipment for $X per year, including maintenance, with the annual payments to made at the...
A small high-speed commercial centrifuge has the following net cash flows and abandonment values over its useful life. The firm's MARR is 12% per year. Determine the optimal time for the centrifuge to be abandoned if its current MV is $7,500 and it won't be used for more than five years. End of Year - 1 2 3 4 Annual revenues less expenses $2,000 $2,000 $2,000 $2,000 Abandonment value of machine $6,100 5,000 $4,000 $2,400 Estimated MV. Click the icon...
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