The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual compound rate of interest Transaction Size Commission Rate $29 +25% of principal S0 - $1,500 $1,501 - $6,000 oamed on the investment. $57 + 0.6% of principal $75+0.30% of principal $6,001 - $22,000 $22,001 - $50,000 $97 +0.20% of principal $50,001 - $500,000 $147+0.10% of principal $500,001+ $247 + 0.08% of principal An investor purchases 210 shares of stock at $27 per share, holds the stock for 4 years, and then sells the stock for $60 a share. Identify the formula required to solve this problem. OA A= P(1 + rt), where A is the amount, P is the principal, ris the annual simple interest rate, and t is the time in years OB. A=Pet where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously c. A= P(1+ iy", where i= and A is the amount at the end of n periods, P is the principal value, ris the annual nominal rate, m is number of compounding periods per year, i is rate per compounding period, and n is total number of m compounding periods O D. I=Prt, where I is the interest, Pis the principal, ris the annual simple interest rate, and tis the time in years The annual rate of interest is . (Round to two decimal places as needed.)

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7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
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The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking
into consideration the buying and selling commissions in this schedule, find the annual compound rate of interest
earmed on the investment.
Transaction Size
Commission Rate
$29 + 2.5% of principal
$57+0.6% of principal
$0 - $1,500
$1,501 - $6,000
$75+ 0.30% of principal
$97+0.20% of principal
$147+ 0.10% of principal
$6,001 $22,000
$22,001 - $50,000
$50,001 $500,000
$500,001+
$247 +0.08% of principal
An investor purchases 210 shares of stock at $27 per share, holds the stock for 4 years, and then sells the stock for $60 a share.
......
Identify the formula required to solve this problem.
O A. A=P(1+ rt), where A is the amount, P is the principal, r is the annual simple interest rate, and t is the time in years
OB. A=Pe", where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously
C.
A= P(1+i)", where i =
m
and A is the amount at the end of n periods, P is the principal value, r is the annual nominal rate, m is number of compounding periods per year, i is rate per compounding period, and n is total number of
compounding periods
O D. I= Prt, where I is the interest, P is the principal, r is the annual simple interest rate, and t is the time in years
The annual rate of interest is %.
(Round to two decimal places as needed.)
Transcribed Image Text:The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual compound rate of interest earmed on the investment. Transaction Size Commission Rate $29 + 2.5% of principal $57+0.6% of principal $0 - $1,500 $1,501 - $6,000 $75+ 0.30% of principal $97+0.20% of principal $147+ 0.10% of principal $6,001 $22,000 $22,001 - $50,000 $50,001 $500,000 $500,001+ $247 +0.08% of principal An investor purchases 210 shares of stock at $27 per share, holds the stock for 4 years, and then sells the stock for $60 a share. ...... Identify the formula required to solve this problem. O A. A=P(1+ rt), where A is the amount, P is the principal, r is the annual simple interest rate, and t is the time in years OB. A=Pe", where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously C. A= P(1+i)", where i = m and A is the amount at the end of n periods, P is the principal value, r is the annual nominal rate, m is number of compounding periods per year, i is rate per compounding period, and n is total number of compounding periods O D. I= Prt, where I is the interest, P is the principal, r is the annual simple interest rate, and t is the time in years The annual rate of interest is %. (Round to two decimal places as needed.)
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