A blended rate, in the context of
bond portfolios, refers to the weighted average
interest rate of a collection of bonds held within a portfolio. It is a crucial metric used by investors and portfolio managers to assess the overall
yield or return generated by the bond investments.
To calculate the blended rate, one must consider the individual bond holdings within the portfolio, along with their respective weights or proportions. The calculation involves multiplying the weight of each bond by its corresponding yield or
interest rate, and then summing up these values for all the bonds in the portfolio.
The formula for calculating the blended rate can be expressed as follows:
Blended Rate = (Weighted Yield of Bond 1 * Weight of Bond 1) + (Weighted Yield of Bond 2 * Weight of Bond 2) + ... + (Weighted Yield of Bond n * Weight of Bond n)
In this formula, the weighted yield of each bond is obtained by multiplying the yield or interest rate of the bond by its weight or proportion in the portfolio. The weight of each bond is determined by dividing its
market value by the total market value of all bonds in the portfolio.
For example, let's consider a bond portfolio with three bonds:
Bond A: Yield = 4%, Market Value = $100,000
Bond B: Yield = 3.5%, Market Value = $150,000
Bond C: Yield = 5%, Market Value = $200,000
To calculate the blended rate, we first determine the weights of each bond:
Weight of Bond A = $100,000 / ($100,000 + $150,000 + $200,000) = 0.25 or 25%
Weight of Bond B = $150,000 / ($100,000 + $150,000 + $200,000) = 0.375 or 37.5%
Weight of Bond C = $200,000 / ($100,000 + $150,000 + $200,000) = 0.375 or 37.5%
Next, we calculate the weighted yield for each bond:
Weighted Yield of Bond A = 4% * 0.25 = 1%
Weighted Yield of Bond B = 3.5% * 0.375 = 1.3125%
Weighted Yield of Bond C = 5% * 0.375 = 1.875%
Finally, we sum up the weighted yields to obtain the blended rate:
Blended Rate = 1% + 1.3125% + 1.875% = 4.1875%
Therefore, the blended rate for this bond portfolio is 4.1875%.
The blended rate provides investors with a comprehensive measure of the overall yield or return generated by the bond portfolio, taking into account the varying weights and yields of individual bonds. It allows investors to assess the performance and
risk profile of their bond investments and make informed decisions regarding portfolio allocation and diversification.