contestada

a retail outlet is being designed in a strip mall in nebraska. for this outlet, the installed fiberglass insulation to protect against heat loss in the winter and heat gain in the summer will cost an estimated $100,000. the annual savings in energy due to the insulation will be $18,000 at eoy one in the 10-year life of the outlet, and these savings will increase by 12% each year thereafter. if the annual interest rate is 15%, what is the present value of the energy savings? pinoybix

Respuesta :

The present equivalent of energy savings is $88,000 and since the amount is less than the cost of insulation, the cost of insulation is not justified.

What are equivalent energy savings?

  • Energy Efficiency on a par Measure refers to decreases in the use of fossil fuels other than natural gas or the use of other energy sources not derived from fossil fuels that are equivalent to decreases in the consumption of natural gas or electricity.
  • Energy conservation measures include turning off the lights when leaving a room, unplugging appliances when not in use, and choosing to walk rather than drive.
  • Gaining more control over their energy bill and lowering the demand for the planet's natural resources are the two main motivations for energy conservation.

According to our question -

the cost of installation is $90,000. the life of insulation is 7 years.

the interest rate, r is 0.18.

the cash flow series of energy savings is a geometric cash flow series. where the first cash flow , A is $16,000  and the geometric gradient is 0.15

The present equivalent of energy savings is given by:

P = A[(1+(1+g)^n(1+i)^-n)/(i-g)]

  = (16000)[(1+(1+0.15)^7(1+0.18)^-7)/(0.18-0.15)]

  = $88,000

Hence, The present equivalent of energy savings is $88,000 and since the amount is less than the cost of insulation, the cost of insulation is not justified.

learn more about  equivalent energy savings click here:

https://brainly.com/question/24276949

#SPJ4