# หลักการเงิน (00920208) - PowerPoint PPT Presentation

1 / 9

หลักการเงิน (00920208). บทที่ 3 คณิตศาสตร์การเงิน (2). สรุปสูตรการคำนวณ FV n , PV. FV n = PV(FVIF i,n ) PV = FV n (PVIF i,n ). FV n = PV(1+i) n PV = FV n /(1+i) n. การคำนวณมูลค่าทบต้นของเงินต้นหลายๆ งวด งวดละเท่าๆ กัน.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

หลักการเงิน (00920208)

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## (00920208)

3 (2)

### FVn, PV

FVn = PV(FVIFi,n)

PV = FVn(PVIFi,n)

FVn= PV(1+i)n

PV = FVn/(1+i)n

• (ordinary annuities)FVAn = CFA (FVIFAi,n)

• (annuity due)FVAn = CFA (FVIFAi,n)(1+i)

100,000 10% 3

0

0i = 10%

1

2

3

CFA

CFA

100

100

100

CFA(1+i)1

110

CFA(1+i)2

121

FVAn = CFA (FVIFAi,n)

= CFA (1+i)n-1

FVA3 =

331

100,000 10% 3

0

0i = 10%

1

2

3

CFA= 100

100

100

110

121

133.1

FVA3 = 364.1

• PVAn = CFA (PVIFAi,n)

• PVAn = CFA (PVIFAi,n)(1+i)

100,000 3 10%

0i = 10%

1

2

3

CFA = = FVn

100

100

100

PV 100 1 = 90.91

PV 100 2 = 82.64

PV 100 3 = 75.13

PVA3 =

248.68

100,000 8% ( 8%)

PVA = CFA/i

= 100,000/0.08

= 1,250,000

1,250,000 100,000 8%

### FV, PV, FVA, PVA

FVn= PV(FVIFi,n)

PV = FVn(PVIFi,n)

FVAn = CFA(FVIFAi,n) CFA

FVAn = CFA(FVIFAi,n)(1+i) CFA

PVA = CFA(PVIFAi,n) CFA

PVA = CFA(PVIFAi,n)(1+i) CFA

PVA = CFA/i