2) Implement this C program using at least three arrays to store the interest, principle and balance for each payment respectively. For example, interest[0] stores the paid interest in the first payment. Name this C program as loanCalcArr.c. 3) Implement this C program using at least three arrays to store the interest, principle and balance after each payment respectively. For example, interest[0] stores the paid interest in the first payment. Besides, please use three pointers to visit the element in the three arrays separately. Name this C program as loanCalcPtr.c. 4) Implement this C program by defining a structure for each payment. The structure should have at least three members for the interest, principle and balance separately. And store all the payments in a structure array (the max size of which could be 100). Name this C program as loanCalcStruct.c In this C program, the input and output are defined as following: • Input: amount of loan, interest rate per year and number of payments • Output: a table of amortization schedule (also called payment schedule) containing payment number, monthly payment, principal paid, interest paid and new balance at each row. The attached screenshot below shows a sample of the output. Yuans-MacBook-Pro:PC yuanlongs ./loanCalc Enter amount of loan : $ 500 Enter Interest rate per year : 7.5 Enter number of payments : 5 Mont ly payment should be 101.88 Payment $101.88 $101.88 $101.88 $101.88 $101.88 AMORTIZATION SCHEDULE= Principal $98.76 $99.38 $100.00 $100.62 $101.25 Interest $3.12 $2.51 $1.89 $1.26 $0.63 Balance $401.24 $301.87 $201.87 $101.25 $0.00 Note: • monthly payments are equal. The way to calculate monthly payment and other values for each row are provided in Appendix. • The C program can be implemented within 80 lines of code. If your program is longer than 80 lines, you may need to think about how to simplify your program. Hint: To print out a percentage %, please use %%. You may need to use C math library to calculate the powers of numbers. To compile a C program using math library, you must add option Im at the end of the cc command to link math library. E.g. gcc -o test test.c -Im 1. Calculating the monthly payment. (Note: The following instruction is from http://www.vertex42.com/ExcelArticles/amortization-calculation.html ) The formula for calculating the payment amount is shown below. r(1 +r)" A = B- (1 + r)" – 1 where • A payment Amount per period (monthly payment) • B- initial Balance (loan amount) • r interest rate per period n total number of payments or periods Example 1: What would the monthly payment be on a 5-year, $20,000 car loan with a nominal 7.5% annual interest rate? B- $20,000 r= 7.5% per year / 12 months 0.625%- 0.00625 per period n= 5 years 12 months 60 total periods 0.00625 (1+0.00625 4e (10.00625 0- - 400.76 A- 20000 . 2. Calculating the Principal(P), Interest(INT) and Balance(B) for each раyment. The formula is shown below. INT(n) - B(n - 1) r; P(n) = A - INT (n): B(n) - B(n - 1) - P(n): Where INT (n), P(n) and B(n) are the paid principal, paid interest and new balance for the nth payment. And B(0) means the loan amount.
2) Implement this C program using at least three arrays to store the interest, principle and balance for each payment respectively. For example, interest[0] stores the paid interest in the first payment. Name this C program as loanCalcArr.c. 3) Implement this C program using at least three arrays to store the interest, principle and balance after each payment respectively. For example, interest[0] stores the paid interest in the first payment. Besides, please use three pointers to visit the element in the three arrays separately. Name this C program as loanCalcPtr.c. 4) Implement this C program by defining a structure for each payment. The structure should have at least three members for the interest, principle and balance separately. And store all the payments in a structure array (the max size of which could be 100). Name this C program as loanCalcStruct.c In this C program, the input and output are defined as following: • Input: amount of loan, interest rate per year and number of payments • Output: a table of amortization schedule (also called payment schedule) containing payment number, monthly payment, principal paid, interest paid and new balance at each row. The attached screenshot below shows a sample of the output. Yuans-MacBook-Pro:PC yuanlongs ./loanCalc Enter amount of loan : $ 500 Enter Interest rate per year : 7.5 Enter number of payments : 5 Mont ly payment should be 101.88 Payment $101.88 $101.88 $101.88 $101.88 $101.88 AMORTIZATION SCHEDULE= Principal $98.76 $99.38 $100.00 $100.62 $101.25 Interest $3.12 $2.51 $1.89 $1.26 $0.63 Balance $401.24 $301.87 $201.87 $101.25 $0.00 Note: • monthly payments are equal. The way to calculate monthly payment and other values for each row are provided in Appendix. • The C program can be implemented within 80 lines of code. If your program is longer than 80 lines, you may need to think about how to simplify your program. Hint: To print out a percentage %, please use %%. You may need to use C math library to calculate the powers of numbers. To compile a C program using math library, you must add option Im at the end of the cc command to link math library. E.g. gcc -o test test.c -Im 1. Calculating the monthly payment. (Note: The following instruction is from http://www.vertex42.com/ExcelArticles/amortization-calculation.html ) The formula for calculating the payment amount is shown below. r(1 +r)" A = B- (1 + r)" – 1 where • A payment Amount per period (monthly payment) • B- initial Balance (loan amount) • r interest rate per period n total number of payments or periods Example 1: What would the monthly payment be on a 5-year, $20,000 car loan with a nominal 7.5% annual interest rate? B- $20,000 r= 7.5% per year / 12 months 0.625%- 0.00625 per period n= 5 years 12 months 60 total periods 0.00625 (1+0.00625 4e (10.00625 0- - 400.76 A- 20000 . 2. Calculating the Principal(P), Interest(INT) and Balance(B) for each раyment. The formula is shown below. INT(n) - B(n - 1) r; P(n) = A - INT (n): B(n) - B(n - 1) - P(n): Where INT (n), P(n) and B(n) are the paid principal, paid interest and new balance for the nth payment. And B(0) means the loan amount.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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