Chapter 11.I, Problem 20RE

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8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

The following investments require table factors for periods beyond the table. Create the new table factor, rounded to five places, and calculate the compound amount for each.

Time |
Nominal |
Interest |
New Table |
Compound |
||||||

Principal |
Period (years) |
Rate (%) |
Compounded |
Factor |
Amount |
|||||

20. |
$19,000 | 29 | 9 | annually |

To determine

**To calculate:** The new table factor and the compound annual investment with the principal

Explanation

**Given information:**

An investment with the principal

**Formula used:**

Compounding period can be defined as the duration or length of time from one interest payment to the next. If an investment ended for 4 years at

Here, *m* is the period per year.

The compound amount (Future value) can be calculated by the formula given below:

In table 11-1, the table factor is the intersection of the corresponding rate-per-period column and the corresponding number-of-periods row is the future value of

When the number of periods of investment is greater than the number of periods provided by the compound interest table, then compute a new table factor by following below steps:

1. For the provided interest rate per period, just determine the two table factors that represent half, or values as close as possible to half, of the periods that is required.

2. Multiply the corresponding two table factors from step 1 to make the new factor.

3. Round the new factor up to five decimal places.

**Calculation:**

Consider the statement as “An investment with the principal

Since, the variables- principal, time period (years),

Nominal rate and interest compounded are given

Therefore, the compounding period can be calculated as below:

Sect-11.I P-1TIESect-11.I P-2TIESect-11.I P-3TIESect-11.I P-4TIESect-11.I P-5TIESect-11.I P-1RESect-11.I P-2RESect-11.I P-3RESect-11.I P-4RESect-11.I P-5RE

Sect-11.I P-6RESect-11.I P-7RESect-11.I P-8RESect-11.I P-9RESect-11.I P-10RESect-11.I P-11RESect-11.I P-12RESect-11.I P-13RESect-11.I P-14RESect-11.I P-15RESect-11.I P-16RESect-11.I P-17RESect-11.I P-18RESect-11.I P-19RESect-11.I P-20RESect-11.I P-21RESect-11.I P-22RESect-11.I P-23RESect-11.I P-24RESect-11.I P-25RESect-11.I P-26RESect-11.I P-27RESect-11.I P-28RESect-11.I P-29RESect-11.I P-30RESect-11.I P-31RESect-11.I P-32RESect-11.I P-33RESect-11.I P-34RESect-11.I P-35RESect-11.I P-36RESect-11.I P-37RESect-11.I P-38RESect-11.I P-39RESect-11.I P-40RESect-11.II P-6TIESect-11.II P-7TIESect-11.II P-8TIESect-11.II P-1RESect-11.II P-2RESect-11.II P-3RESect-11.II P-4RESect-11.II P-5RESect-11.II P-6RESect-11.II P-7RESect-11.II P-8RESect-11.II P-9RESect-11.II P-10RESect-11.II P-11RESect-11.II P-12RESect-11.II P-13RESect-11.II P-14RESect-11.II P-15RESect-11.II P-16RESect-11.II P-17RESect-11.II P-18RESect-11.II P-19RESect-11.II P-20RESect-11.II P-21RESect-11.II P-22RESect-11.II P-23RESect-11.II P-24RESect-11.II P-25RESect-11.II P-26RESect-11.II P-27RESect-11.II P-28RESect-11.II P-29RECh-11 P-1CRCh-11 P-2CRCh-11 P-3CRCh-11 P-4CRCh-11 P-5CRCh-11 P-6CRCh-11 P-7CRCh-11 P-8CRCh-11 P-9CRCh-11 P-10CRCh-11 P-11CRCh-11 P-12CRCh-11 P-13CRCh-11 P-14CRCh-11 P-1ATCh-11 P-2ATCh-11 P-3ATCh-11 P-4ATCh-11 P-5ATCh-11 P-6ATCh-11 P-7ATCh-11 P-8ATCh-11 P-9ATCh-11 P-10ATCh-11 P-11ATCh-11 P-12ATCh-11 P-13ATCh-11 P-14ATCh-11 P-15ATCh-11 P-16ATCh-11 P-17ATCh-11 P-18ATCh-11 P-19ATCh-11 P-20ATCh-11 P-21ATCh-11 P-22ATCh-11 P-23ATCh-11 P-24ATCh-11 P-25ATCh-11 P-26ATCh-11 P-27ATCh-11 P-28ATCh-11 P-29ATCh-11 P-30ATCh-11 P-31ATCh-11 P-32ATCh-11 P-33ATCh-11 P-34ATCh-11 P-35ATCh-11 P-36ATCh-11 P-37ATCh-11 P-38ATCh-11 P-39AT

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