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7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337280426

Chapter 2.3, Problem 27E

Textbook Problem

In Exercises 25–32, determine the periodic payments on the given loan or mortgage. [**hinT:** See Example 5.]

$100,000 borrowed at 5% for 20 years, with quarterly payments

Expert Solution

To determine

**To calculate:** The periodic payments on the loan of $100,000 borrowed at 5% for 20 years, with quarterly payments.

**Given Information:**

An amount of $100,000 is borrowed at 5% for 20 years, with quarterly payments.

**Formula used:**

Withdrawals to annuitize a present value:

If an account earns interest at the rate of *i* per compounding period and the account starts with a balance of *PV*. Also, if a payment of *PMT* is received at the end of each compounding period and the account is down to $0 after *n* periods, then,

**Calculations:**

Consider the provided information:

As the starting balance of the account is $100,000. Thus,

The amount have to be accumulated for a period of 20 years. In order to convert it into quarters, multiply by 4,

The interest rate is *i* is given by,

Now, there are 4 periods. So, interest per period is,

Finite Mathematics

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In Exercises 16, find the future value of the...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 712, find the present value of the...Ch. 2 - In Exercises 1318, find the amounts indicated....Ch. 2 - In Exercises 1318, find the amounts indicated. The...Ch. 2 - In Exercises 1318, find the amounts indicated. The...Ch. 2 - In Exercises 1318, find the amounts indicated. The...Ch. 2 - In Exercises 1318, find the amounts indicated. The...Ch. 2 - In Exercises 1318, find the amounts indicated. The...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - In Exercises 1924, find the time requested, to the...Ch. 2 - How much would you pay for a $10,000, 5-year, 6%...Ch. 2 - How much would you pay for a $10,000, 5-year, 6%...Ch. 2 - A $10,000, 7-year, 5% bond sells for $9,800. What...Ch. 2 - A $10,000, 7-year, 5% bond sells for $10,200. 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