8. When she was 6 years old, Jane's | set up an annuity for her college educ with the first payment deferred for 12 until she reached the age of 18. The a

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8. When she was 6 years old, Jane's parents
set up an annuity for her college education,
with the first payment deferred for 12 years
until she reached the age of 18. The annuity,
rated at 6%, compounded semi-annually,
will pay $8,000 at the end of every 6 months
for the 4 year period of her college
education.
a) Find the number of payment periods
(N)
b. Find the number of deferment
periods (k)
c) Find the Present Value of this
annuity, i.e., what lump sum payment
must Jane's parents invest (at t = 0 ) to
start the account [Find A(N,k)]
Transcribed Image Text:8. When she was 6 years old, Jane's parents set up an annuity for her college education, with the first payment deferred for 12 years until she reached the age of 18. The annuity, rated at 6%, compounded semi-annually, will pay $8,000 at the end of every 6 months for the 4 year period of her college education. a) Find the number of payment periods (N) b. Find the number of deferment periods (k) c) Find the Present Value of this annuity, i.e., what lump sum payment must Jane's parents invest (at t = 0 ) to start the account [Find A(N,k)]
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