54. TAXABLE EQUIVALENT YIELD Taxable equivalent yield mea- sures what you would have to earn on a taxable investment to match the yield provided by a tax-exempt municipal bond. Suppose that your total tax rate is T% and the stated interest rate on a tax-exempt bond is r%/year. Then the taxable equivalent yield, R%/year, is given by R 1- T a. Solve for r in terms of R and T. b. If your taxable return is 6%/year and your total tax rate is 20%, what rate of return on a tax-exempt secu- rity do you need to match the after-tax return on a tax- able security?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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54. TAXABLE EQUIVALENT YIELD Taxable equivalent yield mea-
sures what you would have to earn on a taxable investment
to match the yield provided by a tax-exempt municipal
bond. Suppose that your total tax rate is 7% and the stated
interest rate on a tax-exempt bond is r%/year. Then the
taxable equivalent yield, R%/year, is given by
R =
r
1- T
a. Solve for r in terms of R and T.
b. If your taxable return is 6%/year and your total tax
rate is 20%, what rate of return on a tax-exempt secu-
rity do you need to match the after-tax return on a tax-
able security?
Transcribed Image Text:54. TAXABLE EQUIVALENT YIELD Taxable equivalent yield mea- sures what you would have to earn on a taxable investment to match the yield provided by a tax-exempt municipal bond. Suppose that your total tax rate is 7% and the stated interest rate on a tax-exempt bond is r%/year. Then the taxable equivalent yield, R%/year, is given by R = r 1- T a. Solve for r in terms of R and T. b. If your taxable return is 6%/year and your total tax rate is 20%, what rate of return on a tax-exempt secu- rity do you need to match the after-tax return on a tax- able security?
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