Inflation rate and discount rate?

In summary, to calculate a net present value (NPV) with an average yearly inflation rate of 2.10% and a discount rate of 5.75%, each cash flow is multiplied by ##\left(\frac{1.021}{1.0575}\right)^t## where ##t## is the time to the cash flow. The resulting inflated and discounted cash flows are then added up to get the NPV. Alternatively, the payback period can be calculated as the smallest T where the sum of all inflated and discounted cash flows up to time T is non-negative, though this method may not be useful if there is a pattern of cyclical positive and negative cash flows. In this case, the internal rate of
  • #1
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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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  • #2
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.
 

1. What is inflation rate?

Inflation rate is the percentage increase in the overall price level of goods and services in an economy over a period of time. It is typically measured using the Consumer Price Index (CPI) and is a key indicator of the health of an economy.

2. How is inflation rate calculated?

Inflation rate is calculated by comparing the current CPI to the CPI from a previous period (usually a year). The formula for calculating inflation rate is: (Current CPI - Previous CPI) / Previous CPI x 100. This will give you the percentage change in the price level.

3. What is discount rate?

Discount rate is the interest rate that is used to determine the present value of future cash flows. It is often used in financial decision making to determine the value of investments and to evaluate the cost of borrowing money.

4. How does inflation rate affect discount rate?

In general, when inflation rate increases, the discount rate also increases. This is because inflation erodes the purchasing power of money over time, so investors will require a higher return on their investments to compensate for this loss. On the other hand, when inflation rate decreases, the discount rate will also decrease.

5. What is the relationship between inflation rate and interest rates?

Inflation rate and interest rates are closely related. When inflation rate is high, central banks may raise interest rates to control inflation by making borrowing more expensive. This can slow down economic growth. Conversely, when inflation rate is low, central banks may lower interest rates to stimulate economic growth by making borrowing more affordable.

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