Question

A 5-year annuity of $350 quarterly payments begins in 4 years (the first payment is at the end of the first quarter of y...

A 5-year annuity of $350 quarterly payments begins in 4 years (the first payment is at the end of the first quarter of year 4, so it's an ordinary annuity). The appropriate discount rate is 6%, compounded quarterly. What is the value of the annuity today?

$4,735.30

$4,945.94

$4,014.47

$6,009.02

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Answer #1

Option 1

At the beginning of 4 years

PV of annuity = Annuity*(1-1/(1+rate)^number of terms)/rate

= 350*(1-1/(1+6%/4)^(5*4))/ (6%/4)

=6009.02

Value of annuity now =Future value/(1+Rate)^number of periods

= 6009.02/ (1+6%/4)^(4*4)

=4735.29

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