Inflation rate and discount rate?

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SUMMARY

The discussion focuses on calculating the net present value (NPV) of a project with a payback period of 6 years, incorporating an average yearly inflation rate of 2.10% and a discount rate of 5.75%. To compute NPV, cash flows are adjusted using the formula ##\left(\frac{1.021}{1.0575}\right)^t##, where ##t## represents the time to each cash flow. The payback period can only be accurately assessed if the primary negative cash flows occur at the beginning; otherwise, the internal rate of return (IRR) is a more suitable metric.

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Homework Statement
inflation and discount rate
Relevant Equations
payback
I have a payback for a project of 6 years without counting the inflation rate and discount rate. If the Payback is 6 years, how do you add an average yearly inflation rate of 2.10% and a discount rate of 5.75%?
 
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What do you want to calculate?
If you want a net present value (NPV) you multiply each cash flow by ##\left(\frac{1.021}{1.0575}\right)^t## where ##t## is the time to the cash flow. Add up those inflated and discounted cash flows to get a NPV.

One way to calculate a payback period using inflated and discounted cash flows is as the smallest T such that the sum of all inflated and discounted cash flows up to time T is non-negative.

This only gives a meaningful number if the main negative cash flows are at the beginning. If the pattern cycles between positive and negative cash flows, payback period is not a helpful measure. Internal rate of return (IRR) would be better.
 

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