PV = PMT * { [ 1 - (1 + g / 1 + r)^n ] / (r - g) }
=4,000 * { [1 - (1.06 / 1.095)^10 ] / (0.095 - 0.06)) }
= 4,000 * { (1 - 0.72263) / 0.035 }
= 4,000 * 7.92479
= $31,699.14834, round to $31,699.15
or (rearranged)... PV =[ PMT / (r - g) ] * [ 1 - (1 + g / 1 + r)^n ]
= [4,000 / 0.035] * [1 - (1.06 / 1.095)^10 ]
= 114,285.7143 * 0.27737
= 31,699.14835
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RE Present value situation?
My problem: You are left an inheritance that will provide an annual income for the next 10 years. You will receive the first payment one year from now in the amount of $4000. Every year after that, the payment amount will increase by 6 percent. What is your inheritance worth to you today if you can earn 9.5 percent on your investments?
Answer choices: a) $31,699.15 b) $36,666.67 c) $41,121.21 d) $43,464.12 e) $46,908.17
I've tried a few different methods. One was to find annuity due for 10 years using Excel: =fv(.06,10,-4000), then discount that amount to present value with =pv(.095,10,0, amount).
Anyone know how to set this up?
Present value problems involving annuities, there are four variables:
(1) present value of an ordinary annuity or present value of an annuity due
(2) the amount of each annuity payment,
(3) the number of periods,
(4) the interest rate,
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My problem: You are left an inheritance that will provide an annual income for the next 10 years. You will receive the first payment one year from now in the amount of $4000. Every year after that, the payment amount will increase by 6 percent. What is your inheritance worth to you today if you can earn 9.5 percent on your investments?
Answer choices: a) $31,699.15 b) $36,666.67 c) $41,121.21 d) $43,464.12 e) $46,908.17
I've tried a few different methods. One was to find annuity due for 10 years using Excel: =fv(.06,10,-4000), then discount that amount to present value with =pv(.095,10,0, amount).
Anyone know how to set this up?