Having maxed out one credit card, the consumer is tempted by an offer of a second credit card (from another bank) at 24% APR with a $7500 limit.  A service may pay off all the loans – say $25,000 worth so that the consumer now only has one debt to pay – the one to the consolidation service. The difference is that they may now only pay 12% APR (1% a month) so that instead of paying $500 a month (2% of $25,000) to simply pay the interest, they will be able to pay off the loan. a. How many months will it take to pay off the $25,000 loan at $500 per month at 12% APR compounded monthly? b. When the loan is paid off, how much interest has gone to the Debt Consolidation Service?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Having maxed out one credit card, the consumer is tempted by an offer of a second credit card (from
another bank) at 24% APR with a $7500 limit. 
A service may pay off all the loans – say $25,000 worth so that the consumer now only has one debt to pay – the one to the consolidation service. The difference is that they may now only pay 12% APR (1% a month) so that instead of paying $500 a month (2% of $25,000) to simply pay the interest, they will be able to pay off the loan.

a. How many months will it take to pay off the $25,000 loan at $500 per month at 12% APR compounded
monthly?
b. When the loan is paid off, how much interest has gone to the Debt Consolidation Service?

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