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Scheduled payments of ​$696​, ​$1415​, and ​$1358 are due in 1.5 years​, 4 ​years, and 6...

Scheduled payments of ​$696​, ​$1415​, and ​$1358 are due in 1.5 years​, 4 ​years, and 6 years respectively. What is the equivalent single replacement payment 2 years from now if interest is 3.3 % compounded annually?

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Answer #1

Single payment after 2 years is equal to value of all payments on that date

Present value = future value/(1+interest rate)^number of periods

696*(1+3.3%*6/12) + 1415/(1.033)^2 + 1358/(1.033)^4

=$707.484 + 1326.04 + 1192.61

=$3226.134

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