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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

Present value of an annuity due

AnnuityPayment PaymentFrequency TimePeriod (yrs) Nominal Rate ( % ) InterestCompounded Present Value of the Annuity
22. $700 every 6 months 7 3.6 semiannually

To determine

To calculate: The present value of annuity due, where annuity payment is $700, frequency of payment is 6 months, time duration is 7 years, nominal rate of return is 3.6% and interest is compounded semiannually.

Explanation

Given Information:

Annuity payment is $700, frequency of payment is 6 months, time duration is 7 years, nominal rate of return is 3.6% and interest is compounded semiannually.

Formula used:

The formula to compute the present value of an annuity due is,

PV=Pmt×1(1+i)ni×(1+i)

Where, PV is present value, Pmt is annuity payment, i is interest rate per period and n is number of periods.

Calculation:

Consider the provided information,

Annuity payment is $700, frequency of payment is 6 months, time duration is 7 years, nominal rate of return is 3.6% and interest is compounded semiannually.

The interest rate per period is 1.8%(3.6%÷2 period per year).

The number of periods is 14( 7years×2 period per year).

Now, substitute n=14, i=0

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Chapter 12 Solutions

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

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