Problem 1: What are the effective annualized rates for each of the following annual stated rates and compounding frequencies? What can you conclude about the degree to which stated rates differ from effective rates given (1) the level of interest rates and (2) the frequency of compounding? That is, since stated rates under-estimate the effective cost of borrowing (and are thus misleading) are stated rates more or less misleading when the interest rates are high? Are they more of less misleading as the frequency increases? Compounding Frequency (per year) 2 Effective Annual Rate Stated Annual Rate .01 .01 12 .10 .10 12 .30 .30 2 12

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Problem 1:
What are the effective annualized rates for each of the following annual stated rates and
compounding frequencies? What can you conclude about the degree to which stated rates differ
from effective rates given (1) the level of interest rates and (2) the frequency of compounding?
That is, since stated rates under-estimate the effective cost of borrowing (and are thus misleading)
are stated rates more or less misleading when the interest rates are high? Are they more of less
misleading as the frequency increases?
Stated Annual Rate
Compounding Frequency (per year)
2
Effective Annual Rate
.01
.01
12
.10
.10
2
12
.30
2
.30
12
Transcribed Image Text:Problem 1: What are the effective annualized rates for each of the following annual stated rates and compounding frequencies? What can you conclude about the degree to which stated rates differ from effective rates given (1) the level of interest rates and (2) the frequency of compounding? That is, since stated rates under-estimate the effective cost of borrowing (and are thus misleading) are stated rates more or less misleading when the interest rates are high? Are they more of less misleading as the frequency increases? Stated Annual Rate Compounding Frequency (per year) 2 Effective Annual Rate .01 .01 12 .10 .10 2 12 .30 2 .30 12
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