FINANCE2

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School

University of Florida *

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Course

3403

Subject

Finance

Date

Feb 20, 2024

Type

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Pages

1

Uploaded by samsoccer2

Report
106. Assume that you are analyzing the value of 3 perpetuities. Perpetuity 1 will make annual payments of $500 each year starting at Year 12. Perpetuity 2 will make annual payments of $750 each year starting at Year 27. Perpetuity 3 will make annual payments of $900 each year starting at Year 33. Assuming that the correct interest rate to use is a nominal annual interest rate of 12.0 percent, but where compounding is semi-annual, determine the value of these three perpetuities evaluated at Year 27. A. $35,249.47 B. $36,989.87 C. $38,730.27 D. $40,470.67 E: $42,211.07 Effective Annual Rate = (1 +(.12/2))?-1.0 = 12.36% Perpetuity 1: Vi1 = $500.00/.1236 = $4,045.31 V2 = ($4,045.31)*(1.1236)'® = $26,105.93 Perpetuity 2: V2s = $750.00/.1236 = $6,067.96 Va7 = ($6,067.96)*(1.1236)" = $6,817.96 Perpetuity 3: Vi, = $900.00/.1236 = $7,281.55 V2r = ($7,281.55)/(1.1236)° = $4,065.98 Value of All 3 Perpetuities at Year 15: Total Value = $26,105.93 + $6,817.96 + $4,065.98 = $36,989.87
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