A taxpayer, age 64, purchases an annuity from an insurance company for $82,000. She is to receive $683 per month for life. Her l
1 answer:
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Answer:
36 years 4 months and 2 days
Explanation:
Data provided in the question:
Monthly payment = $300
Rate of return, i = 9% = 0.09
Future value = $1,000,000
Now,
we know
Future value = Monthly payments ×
or
1000000 = $300 ×
or
or
1.0075ⁿ - 1 = 25
or
1.0075ⁿ = 26
ln( 1.0075ⁿ) = ln(26)
or
n × ln( 1.0075 ) = ln(26)
or
n = [tex]\frac{ \ln (26) }{ \ln( 1.0075 ) }[tex]
or
n = 436.04 months
or
n = 36 years 4 months and 2 days