suppose i have computed the cost of carbon per mile for my car at 0.012 per mile. assume that the interest rate is 3% and that i drive the car 24,000 miles per year. what is present value of the carbon expense for four years? you will need to use the pv function in excel or a financial calculator. in excel the present value of a stream of monetary cash flows is given by -pv(rate,number of payments,payment amount) where rate is the interest rate if the payment is a cost but entered in excel as a positive number. you can also compute the carbon cost per year and then discount those four values back to the present.

Respuesta :

To calculate the present value of the carbon expense for four years, we can use the present value (PV) function in Excel or a financial calculator.

The PV function in Excel has the following syntax:

=PV(rate, number of payments, payment amount, [future value], [type])

Where:

  • rate: The interest rate, entered as a positive number.
  • number of payments: The number of payments in the series.
  • payment amount: The payment amount per period.
  • future value: The future value of the investment. This is optional and can be left blank if not known.
  • type: A number indicating when payments are due. 0 indicates that payments are due at the end of the period, and 1 indicates that payments are due at the beginning of the period. This is optional and can be left blank if not known.

In this case, we can use the following formula to calculate the present value of the carbon expense for four years:

=PV(3%, 4, -0.012*24000, 0, 0)

This formula calculates the present value of a series of four payments of -0.012*24000, with an annual interest rate of 3%. The payments are assumed to be due at the end of the period (type = 0).

The result of this formula is -400.17. This means that the present value of the carbon expense for four years is $400.17.

Alternatively, we could also calculate the carbon cost per year and then discount those four values back to the present. To do this, we would need to calculate the carbon cost per year, which is 0.012*24000 = $288.

Then, we would use the PV function to calculate the present value of each year's carbon cost, using the annual interest rate of 3%. The present value of the carbon expense for four years would be the sum of the present values of each year's carbon cost.

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