For the cash flows shown, find the future worth in year 7 at i = 10% per year F = ? base amont. 700 = رقم PG= ? 0 i = 10% (2) 3 5 6 7 und 3 550 600 650 ا دائما 700 6 Actual years Gradient years decreasing G=$-50 Solution: Gradient G first occurs between actual years 2 and 3; these are gradient years 1 and 2 PG is located in gradient year 0 (actual year 1); base amount of $700 is in gradient years 1-6 Pp Pg PG= 700(P/A, 10%,6)-50(P/G, 10%, 6) = 700 (4.3553)-50(9.6842) = $2565 F = PG(F/P,10%,6)=2565(1.7716) = $4544 سلام انالمارفه decreasin
Example Find P and A for i = 10% for the following cash flows: أصد النسبة الأولى ا سر أصد 2 في base اللي هو -Sooo 0 One ar One. 0 0 صند P, (o total AF (4) ے گوله لا نصر || || || || |||||||||| = -S000 = = لد N - 1000 -S000 2 -Sooo 20 - PA + PG End of Year - $11,471.5 3 4 . 1003 3 Total -3000 4-2000 - $3,618.8 3 -Sono 4 -2000 -A(P/A, 10%, 4) + G(P/G, 10%, 4) - - $5,000(3.1699)+$1,000(4.378) - $15,849.50+ $4,378.00 Annuity 2000 Gradient -3000 A₁ + AG -A, + G(A/G, 10%, 4) -$5,000+ $1,000(1.3812) Cash Flow ($) -5,000 -4000 -3000 -2000 طلع * او * دائما تحت واللي و 10:00 + جامع + loca W د
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