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A bank makes payments continuously at a rate of $270 per year. The payments are made between times 7 and 10 (measured in year

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Answer #1

Present value of $270 received in year 7 at time 3 is = $270 / (1+6%)^(7-3)

= $270 / 1.06^4

= $270 / 1.26247696

= $213.8653

Present value of $270 received in year 8 at time 3 is = $270 / (1+6%)^(8-3)

= $270 / 1.06^5

= $270 / 1.33822558

= $201.7597

Present value of $270 received in year 9 at time 3 is = $270 / (1+6%)^(9-3)

= $270 / 1.06^6

= $270 / 1.41851911226

= $190.3393

Present value of $270 received in year 10 at time 3 is = $270 / (1+6%)^(10-3)

= $270 / 1.06^7

= $270 / 1.50363025899

= $179.5654

Present value of $270 per year between 7 to 10 years = PV of $270 of 7th year at time 3 + PV of $270 of 8th year at time 3 + PV of $270 of 9th year at time 3 + PV of $270 of 10th year at time 3

= $213.8653 + $201.7597 + $190.3393 + $179.5654

= $605.5297

= $605.53

Therefore, Present value of $270 per year between 7 to 10 years = $605.53

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