Revision as of 01:01, 27 November 2023 by Admin (Created page with "(Odufrey problem) The amount of principal repaid in the 3rd payment of a 5-year level payment loan at 9% is 300. What is the original loan value? <ul class="mw-excansopts"> <li>1,470</li> <li>1,495</li> <li>1,502</li> <li>1,512</li> <li>1,533</li> </ul> '''References''' {{cite web |url=https://web2.uwindsor.ca/math/hlynka/392oldtests.html |last=Hlynka |first=Myron |website=web2.uwindsor.ca | title = University of Windsor Old Tests 62-392 Theory of Interest | access-da...")
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ABy Admin
Nov 27'23

Exercise

(Odufrey problem) The amount of principal repaid in the 3rd payment of a 5-year level payment loan at 9% is 300. What is the original loan value?

  • 1,470
  • 1,495
  • 1,502
  • 1,512
  • 1,533

References

Hlynka, Myron. "University of Windsor Old Tests 62-392 Theory of Interest". web2.uwindsor.ca. Retrieved November 23, 2023.

ABy Admin
Nov 27'23

Solution: D

Let [math]L[/math] be loan amount and [math]K[/math] be annual payment. Repayment amount in third year is [math]300=K v^3=K(1.09)^{-3}[/math]. Thus [math]K=[/math] [math]300(1.09)^3=388.51[/math]. The loan amount is [math]L=K a_{\overline{5} \mid}=1511.16[/math].

References

Hlynka, Myron. "University of Windsor Old Tests 62-392 Theory of Interest". web2.uwindsor.ca. Retrieved November 23, 2023.

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