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The Aboriginal Friendship Centre of Calgary in partnership with Alberta Health Services, and the Tsuut'ina Nation, provided an exceptional program to offset the high risk of suicide among at-risk indigenous youth. This program provided new healthy, self-esteem building options, for at-risk youth from Calgary group homes and the community at large.
Penelope Lake lived from 22 October 1991 to 6 April 2011. She was known for being a woman of action from a young age who loved to volunteer and help others. She had a close relationship with her family and friends and enjoyed traveling, being creative, and spending time with animals. She had a fun-loving personality and was always up for new experiences.
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1. 21/07/54
0 F F F
ก ก ก
F ก F F
ก F ก
F ก F ก F
1
2. 21/07/54
ก ก ก
0 ก ก F
0 ก (Independent Projects)
0 ก Fก F ก F Fก
ก ก ( F ก ก ก F)
0 ก F ก (Contingent Projects)
0 ก ก ก ก ก F F
ก F ( F ก ก ก F)
0 ก ก (Mutually Exclusive)
0 ก ก F F ก กก ก ( F ก ก
F ก . ก F ก F ก F ก F ก )
3
ก
1. ก / F ก
2. ก
3. ก ก
4. Fก
5. F ก
6. ก
7. ก
2
3. 21/07/54
F ก ก F
ก ( F )
X Y Z
ก - 1400 - 1400 - 1400
1 400 300 400
2 400 400 600
3 400 500 200
4 400 200 800
5 400 500 200
6 400 500 200
ก 1,400,000 ( F F )
ก 10% F
ก F ก
0 F F F F
F ก ก2
ก
1. ก ก ก ก
2. ก ก ก ก
F
3
4. 21/07/54
ก F F ก F ก
0 (Average Rate of Return
ARR)
0 (Payback Period PP)
0 F (Net Present Value NPV)
0 ก ก (Profitability Index PI)
0 F (Internal Rate of Return
IRR)
(Average Rate of Return ARR)
0 ก ก F F
ก ก ก ก
ก ก F 1. ก
0 ก F F ก ก F F
กก F
ARR = ก F
Fก
F ก
0 ก F F Fก ก
2. ก ก F
0 ก F กF
ก ก 3. ก F ก
ก F =
ก F ก
0 = ก F ก
4
5. 21/07/54
ก F ARR ก XY Z
ก ก F ก F กก F 20%
0 ก Xก F F ก ก X
- 1400
ก F 400
ARR =
400
400
400
0 ARR = 400
400
0 ARR = 28.57
ก Y
0 ก F F Fก ก
ก ก
ก F =
ก
0 ก F
Y
0 ก F = 400 - 1400
0 ARR 300
400
ARR = ก F
500
200
0 ARR = 500
500
0 ARR = 28.57
5
6. 21/07/54
ARR ก Z
3
ARR = ก F Z
- 1400
400
ก ก 600
ก F =
ก 200
800
ARR = 28.57% 200
200
ก ก ก
ARR
0 ก X = 28.57%
0 ก Y = 28.57%
0 ก Z = 28.57%
0 3 ก กF
F ก ก ก F ก
ก
6
7. 21/07/54
(Payback Period PP)
0 ก F ก ก
Fก ก ก ก F ก
กF ก ก ก ก
ก ก ก
0 ก ก F Fก ก
0
= ก
F
0 ก ก F F Fก ก
0 ก ก F Fก ก
F ก F( F . . )
ก F
(PP) ก X, Y, Z
0 ก X
0 ก F F
0 F X
ก
= - 1400
F
400
0 ก= ? 400
0 F =? 400
400
0 400
400
0 . 3 6
7
8. 21/07/54
(PP) ก Y
0 ก Yก F F Fก
0 ก
ก ก
1 300 300 ก
2 400 700 4
3 500 1,200 F ก 1,400
4 200 1,400 Fก
ก
5 500 1,900
6 500 2,400 4
15
(PP) ก Z
0 ก Zก F F Fก
0 ก
ก ก
1 400 400
ก
2 600 1,000 1400
3 200 1,200 F
4 800 2,000 F 3 4
5 200 2,200 F F
6 200 2,400 3-4
8
9. 21/07/54
(PP) ก Z
0 FF ก 1,400 F F 3 4
0ก 800 F = 12
0ก 200 F = 3
0 ก Z 3 3
ก ก
F ก F ก
= 1400
1 400 400 กก F 1200 F 200
2 600 1,000
3 200 1,200
F 3-4 ก
4 800 2,000 = 800
5 200 2,200 (2000-1200)
6 200 2,400
ก ก ก PP
0 ก X= 3 6
0 ก Y= 4
0 ก Z= 3 3
0 3 ก F ก ก ก
ก ก Z
3 3 F F ก F 3
ก ก F 3 ก
9
10. 21/07/54
F (Net Present Value : NPV
0 F (Net Present value : NPV) F
F F F F
F ก ก F F ก
ก ก ก
0 ก ก F
NPV ก ก ก ก
ก ก ก F NPV ก
ก
F (Net Present Value : NPV) F PV ก
กF
0 ก
F (NPV) = F ก ก
0 F ก F 2ก NPV = PV ก
0ก F F ก ก
Pv = F ก n
PV = a(PVIFA) A=ก F Fก
PVIFA = F ก F
0ก ก F F Fก
PV= FV (PVIF i , n) PV = F ก F
) FV = ก F
PVIF = ก F 20
10
11. 21/07/54
ก F F NPV ก xyz
0 ก X
0ก 1 6 Fก ก 400 ( )
PV = a(PVIFA) PV = F
ก n
a = 400 a=ก F
PVIFA (n = 6, I = 10%) Fก
PVIFA = 4.355 PVIFA = F ก
PV = 400 x 4.355 F
= 1,742
NPV = PV ก
NPV = 1,742 - 1,400 = 342 21
F NPV ก Y
ก (FV) PVIF (i=10%, n=..) PV
( F : F ) (1) (2) (1) x (2)
1 300 0.909 272.7
2 400 0.826 330.4
3 500 0.751 375.5
4 200 0.683 136.6
5 500 0.621 310.5
6 500 0.564 282
PV= FV (PVIF i , n) (PV) 1,707.7
ก 1,400
NPV = PV ก
NPV 307.7
22
11
12. 21/07/54
F NPV ก Z
ก (FV)
PVIF(i=10%) PV
( F : F )
1 400 0.909 330.4
2 600 0.826 495.6
3 200 0.751 150.2
4 800 0.683 546.4
5 200 0.621 124.2
6 200 0.564 112.8
PV= FV (PVIF i , n) (PV) 1,759.6
ก 1,400
NPV = PV ก NPV 359.6
ก ก ก
F (NPV)
0 ก
X = 342 F
0 ก
Y = 307.7 F
0 ก
Z = 359.6 F
0 ก
X, Y Z F F NPV ก F
ก Z F F NPV ก ก
ก Z
12
13. 21/07/54
ก ก (Profitability Index PI)
0 F F F ก ก
ก
0ก ก ก PI F F
F ก
ก
0 PI ก x = 1,742/1400 = 1.244
F PV F F F
0 PI ก Y = 1,707.7/1400 = 1.219 กF F
0 PI ก Z = 1,759.6/1400 = 1.257
0 ก ก Z
25
F (Internal Rate of Return: IRR)
0 F F F ก
F F F ก ก Fก F ก
F F ก
0 ก
0 ก F IRR F กก F F ก
ก F ก ก ก ก
F IRR F กก F F F IRR
0 ก F 2
0 ก ก Fก ก
0 ก ก F F Fก
13
14. 21/07/54
F (Internal Rate of Return IRR)
0 ก
0 ก ก Fก ก
0 1 ก
F ก F F
ก
ก
ก
0 ก x ก = 1400/400 = 3.5
0 2 PVIFA n = 6 ( ก 6 ) F 3.5 F F
ก F 17% ก 18% (17% = 3.589 18% =
3.498)
27
IRR ก x( F )
0 3 F
F
0 ก F ก (3.589 3.498 = 0.091)
ก F ก 1% (17% F ก 18% )
0 ก F ก (3.589 3.5 = 0.089)
ก F ก 0.978%
0 F ก 3.5 F
3.5
= 17% + 0.978% = 17.978%
14
15. 21/07/54
IRR ก Y
0ก ก F F Fก
0 1 F F F ก F
ก F ก F 16% F 17%
ก PVIF PVIF
PV PV
( .) (i=16%) (i=17%)
1 300 0.862 258.6 0.855 256.5
2 400 0.743 297.2 0.731 292.4
3 500 0.681 340.5 0.624 312
4 200 0.552 110.4 0.534 106.8
5 500 0.476 238 0.456 228
6 500 0.410 205 0.390 195
PV n=6 1,449.7 1390.7
29
IRR ก Y
0 2ก F
F ก Y
0 F F ก (1449.7 1390.7 = 59) i
F ก 1%
0 F F ก (1449.7 1,400 = 49.7) i
F ก = (1x49.7)/59 = 0.842
0 IRR ก Y = 16% + 0.842
0 = 16.842 % 30
15
16. 21/07/54
IRR ก z
F 19% F 20%
ก PVIF F PVIF
F
( ) (i=19%) (i=20%)
1 400 0.840 336 0.833 333.2
2 600 0.706 423.6 0.694 416.4
3 200 0.593 118.6 0.579 115.8
4 800 0.499 399.2 0.482 385.6
5 200 0.419 83.8 0.402 80.4
6 200 0.352 70.4 0.335 67
1,431.6 1,398.4
IRR ก z
0 F IRR
0 F F ก (1431.6 1398.4 =33.2) i
F ก 1%
0 F F ก (1431.6 1400 =31.6) i
F ก (1x31.6)/33.2 = 0.952 %
0 IRR ก Z = 19% + 0.952% =
19.952%
16
17. 21/07/54
ก ก ก IRR
0 ก F IRR F กก F F ก
ก F ก ก ก ก
F IRR F กก F F F IRR
0 IRR ก x = 17.978%
0 ก y= 16.842%
0 ก z = 19.952%
0 ก ก z F IRR กก F F
(10%) F IRR
ก ก
F ก F F
(Average rate of return : ARR) ก
กก : F กก F ก
(Payback period: PP) ก ก ก
ก F ก : กF
• F (Net Present value : NPV) F F F
F F F ก ก F F ก
ก ก : F ก ก
• ก ก (Profitability Index : PI) F F F
ก F F ก ก F ก F
ก F : F ก ก
• F (Internal rate of return : IRR) IRR F กก F F
F
17
18. 21/07/54
ก ก F
ก ARR PP NPV PI IRR
X 28.57% 3 6 342 . 1.244 17.978%
Y 28.57% 4 307.7 . 1.219 16.842%
Z 28.57% 3 3 359.6 . 1.257 19.952%
ก ARR PP NPV PI IRR
X 1 2 2 2 2
Y 1 3 3 3 3
Z 1 1 1 1 1
18