(g) Suppose that the compounding period ris very small. What can you say about the actual amount of interest after a year? (h) Because the actual amount of the interest (the answer in (g)) is dif- ferent from the nominal interest rate (100 % in this worksheet), many finan- cial companies use the term APY (the annual percentage yield) to describe a practical annual interest rate. Its formula is V – P P where V is the value at year-end, P is the principal (= the initial value). Find the APY when the interest is compounded twice in a year, four times in a year, twelve times in a year. (1) When the nominal interest rate is 100 %, what is the possible upper bound of the APY? Can you describe it by using Euler's constant e?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(g) Suppose that the compounding period ris very small. What can you
say about the actual amount of interest after a year?
(h) Because the actual amount of the interest (the answer in (g)) is dif-
ferent from the nominal interest rate (100 % in this worksheet), many finan-
cial companies use the term APY (the annual percentage yield) to describe a
practical annual interest rate. Its formula is
V – P
P
where V is the value at year-end, P is the principal (= the initial value). Find
the APY when the interest is compounded twice in a year, four times in a
year, twelve times in a year.
(1) When the nominal interest rate is 100 %, what is the possible upper
bound of the APY? Can you describe it by using Euler's constant e?
Transcribed Image Text:(g) Suppose that the compounding period ris very small. What can you say about the actual amount of interest after a year? (h) Because the actual amount of the interest (the answer in (g)) is dif- ferent from the nominal interest rate (100 % in this worksheet), many finan- cial companies use the term APY (the annual percentage yield) to describe a practical annual interest rate. Its formula is V – P P where V is the value at year-end, P is the principal (= the initial value). Find the APY when the interest is compounded twice in a year, four times in a year, twelve times in a year. (1) When the nominal interest rate is 100 %, what is the possible upper bound of the APY? Can you describe it by using Euler's constant e?
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