A county will invest $3,600,000 to clean up a chemical spill that occurred following a natural disaster. At the end of the 9-year planni horizon, an additional $900,000 will be spent in restoring the site to an environmentally acceptable condition. The investment is expected to produce net annual benefits that will decrease by 25% each year. The net annual public benefit in the 1st year is estimat be $2,400,000. Determine the B/C ratio for the investment using a 5% MARR. Click here to access the TVM Factor Table calculator. | B/C = Carry all interim calculations to 5 decimal places and then round your final answer to 3 decimal places. The tolerance is ±0.003.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A county will invest $3,600,000 to clean up a chemical spill that occurred following a natural disaster. At the end of the 9-year planning
horizon, an additional $900,000 will be spent in restoring the site to an environmentally acceptable condition. The investment is
expected to produce net annual benefits that will decrease by 25% each year. The net annual public benefit in the 1st year is estimated to
be $2,400,000. Determine the B/C ratio for the investment using a 5% MARR.
Click here to access the TVM Factor Table calculator.
|
B/C=
Carry all interim calculations to 5 decimal places and then round your final answer to 3 decimal places. The tolerance is ±0.003.
Transcribed Image Text:A county will invest $3,600,000 to clean up a chemical spill that occurred following a natural disaster. At the end of the 9-year planning horizon, an additional $900,000 will be spent in restoring the site to an environmentally acceptable condition. The investment is expected to produce net annual benefits that will decrease by 25% each year. The net annual public benefit in the 1st year is estimated to be $2,400,000. Determine the B/C ratio for the investment using a 5% MARR. Click here to access the TVM Factor Table calculator. | B/C= Carry all interim calculations to 5 decimal places and then round your final answer to 3 decimal places. The tolerance is ±0.003.
The benefit-cost ratio (B/C) is the ratio of the present worth of net public benefits to the present worth of net government costs
using i = MARR.
To illustrate the mathematics of benefit-cost analysis:
Bjt
net public benefits (benefits minus disbenefits, expressed as money) associated with alternativej during year t t = 1; 2;...
;n.
Cit
¡
=
=
=
=
net government costs (costs minus residuals such as salvage values) associated with alternativej during year t, t = 1; 2; ...;
n.
n length of the planning horizon.
appropriate interest or discount rate.
B/C, (t) =
=
The B/C criterion may be expressed mathematically, using the present worth of all net benefits over the present worth of all net
costs, as
Σ1 B (1 + x) =*
Σo C(1+1)*
Transcribed Image Text:The benefit-cost ratio (B/C) is the ratio of the present worth of net public benefits to the present worth of net government costs using i = MARR. To illustrate the mathematics of benefit-cost analysis: Bjt net public benefits (benefits minus disbenefits, expressed as money) associated with alternativej during year t t = 1; 2;... ;n. Cit ¡ = = = = net government costs (costs minus residuals such as salvage values) associated with alternativej during year t, t = 1; 2; ...; n. n length of the planning horizon. appropriate interest or discount rate. B/C, (t) = = The B/C criterion may be expressed mathematically, using the present worth of all net benefits over the present worth of all net costs, as Σ1 B (1 + x) =* Σo C(1+1)*
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