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Blended Rate
> Introduction to Blended Rate

### What is a blended rate and how is it calculated?

A blended rate, in the context of finance, refers to a weighted average interest rate that is calculated by combining multiple interest rates or yields into a single rate. It is commonly used in various financial scenarios, such as loan agreements, investment portfolios, and bond issuances. The purpose of calculating a blended rate is to provide a comprehensive measure that reflects the overall cost or return associated with a combination of different rates.

To calculate a blended rate, one must consider the weight or proportion of each individual rate in relation to the total. This weight is typically determined by the amount of money or investment associated with each rate. The formula for calculating a blended rate is as follows:

Blended Rate = (Rate1 x Weight1) + (Rate2 x Weight2) + ... + (RateN x WeightN)

In this formula, Rate1, Rate2, ..., RateN represent the individual interest rates or yields, while Weight1, Weight2, ..., WeightN represent the corresponding weights assigned to each rate. The weights are usually expressed as percentages or proportions.

For example, let's consider a scenario where an investor has two investments: Investment A with an interest rate of 5% and an investment amount of \$10,000, and Investment B with an interest rate of 3% and an investment amount of \$5,000. To calculate the blended rate for this portfolio, we would use the following formula:

Blended Rate = (0.05 x 10,000) + (0.03 x 5,000) / (10,000 + 5,000)

Blended Rate = (500) + (150) / 15,000

Blended Rate = 650 / 15,000

Blended Rate ≈ 0.0433 or 4.33%

In this example, the blended rate for the portfolio is approximately 4.33%. This means that the overall return or cost associated with the combination of Investment A and Investment B is equivalent to a single investment with a 4.33% interest rate.

It is important to note that the blended rate calculation assumes that the interest rates or yields are compounded over the same time period. If the rates have different compounding frequencies or terms, additional adjustments may be necessary to accurately calculate the blended rate.

In summary, a blended rate is a weighted average interest rate that combines multiple rates into a single rate. It is calculated by multiplying each rate by its corresponding weight and summing the results. The blended rate provides a comprehensive measure of the overall cost or return associated with a combination of different rates, making it a valuable tool in various financial contexts.