Consider a loan of $6700 at 6.5% compounded semiannually, with 18 semiannual payments. Find the following. (a) the payment necessary to amortize the loan (b) the total payments and the total amount of interest paid based on the calculated semiannual payments (c) the total payments and total amount of interest paid based upon an amortization table. ... (a) The semiannual payment needed to amortize this loan is $ 497.50 (Round to the nearest cent as needed.) (b) The total amount of the payments is $ 8955 (Round to the nearest cent as needed.) The total amount of interest paid is $ 2255. (Round to the nearest cent as needed.) (c) The total payment for this loan from the amortization table is $. (Round to the nearest cent as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider a loan of $6700 at 6.5% compounded semiannually, with 18 semiannual payments. Find the following.
(a) the payment necessary to amortize the loan
(b) the total payments and the total amount of interest paid based on the calculated semiannual payments
(c) the total payments and total amount of interest paid based upon an amortization table.
(a) The semiannual payment needed to amortize this loan is $ 497.50
(Round to the nearest cent as needed.)
(b) The total amount of the payments is $ 8955
(Round to the nearest cent as needed.)
The total amount of interest paid is $ 2255.
(Round to the nearest cent as needed.)
(c) The total payment for this loan from the amortization table is $.
(Round to the nearest cent as needed.)
Transcribed Image Text:Consider a loan of $6700 at 6.5% compounded semiannually, with 18 semiannual payments. Find the following. (a) the payment necessary to amortize the loan (b) the total payments and the total amount of interest paid based on the calculated semiannual payments (c) the total payments and total amount of interest paid based upon an amortization table. (a) The semiannual payment needed to amortize this loan is $ 497.50 (Round to the nearest cent as needed.) (b) The total amount of the payments is $ 8955 (Round to the nearest cent as needed.) The total amount of interest paid is $ 2255. (Round to the nearest cent as needed.) (c) The total payment for this loan from the amortization table is $. (Round to the nearest cent as needed.)
Expert Solution
Step 1

Given that

Loan amount =$6700

r=6.5%n=2N=18

then 

(a) Let semiannually payment is $x

then 

loan amount 1+rnN=x1+rnN-1rn

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