A 15-year annuity of thirty $9,000 semiannual payments will begin 10 years from now, with the first payment coming 10.5 years from now. Required : (a) If the discount rate is 12 percent compounded monthly, what is the value of this annuity 6 years from now? (b) What is the current value of the annuity?
Monthly effective rate = 12%/12 months = 1% per month compounded monthly.
We need a semi-annual effective rate, which is (1 + 0.01)^6 - 1 = 0.0615201506 - 1 = 6.15201506%
a)
This is the value of this annuity 6 years from now.
b)
This is the current value of the annuity.
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