Majandustehing (0)

Overview

P15-3A
PV of a bond , i=8%
PV of a bond, i=7%
PV of a bond, i=9%

Sheet 1: P15-3A

Turu intressimäär Võlakirja hind
7% 214,000
8% 200,000
9% 187,000
Kuupäev /
date Majandustehing/business transactions VARAD / ASSETS = KOHUSTISED / LIABILITIES + OMAKAPITAL /
OWNER'S EQUITY Käibevara /
current assets
Lühaj. Kohustised / Short- term liabilities Pikaajalised kohustised / Long-term liabilities
Raha / cash
Võlakirjavõlg /
Bonds payable Võlakirja preemia /
bond premium Võlakirjavõlg /
Bonds payable Võlakirja preemia /
bond premium
Intressikulu /
interest expense
D (+) K (-)
D (-) K (+) D (-) K (+) D (-) K (+) D (-) K (+)
D (-) K (+) 31-Dec-08 Jääk (31.12.2008) ?
31-Dec-08 Võlakirjade emissioon preemiaga 214,000
200,000
14,000
31-Dec-09 Tekkep . intressikulu arvest .& maksm. 16,000
-1,400
16,000 1,400 31-Dec-10 -''-
31-Dec-11 -''-
31-Dec-12 -''-
31-Dec-13 -''-
31-Dec-14 -''-
31-Dec-15 -''-
31-Dec-16 -''-
31-Dec-17 -''-
Pikaajal. Võlakirja klassifitseerimine lühiajaliseks
31-Dec-17 võlakirjavõlg
31-Dec-17 võlakirja preemia
31-Dec-18 Tekkep. intressikulu arvest.& maksm.
31-Dec-18 Võlakirjavõla tasumine
Käive (31.12.2008 - 31.12.2018)
Netokäive (31.12.2008 - 31.12.2018)
31-Dec-18 Jääk (31.12.2018) ?
10 aasta intressikulu: 0
ehk
sissetulevad ja väljaminevad rahavood :



saadud laen võlakirjade emissioonist 200,000



laekunud preemia võlakirjade emissioonist 14,000
makstud intressimaksed (10 * 16 000) -160,000
tagastatud laen võlakirjade emissioonist -200,000
Raha 10 aasta netokäive: -146,000

Sheet 2: PV of a bond, i=8%

Present Value of a Bond






period
n market interest rate
i PV
of 1 single sum PV
of single sum
arvuta nüüdisväärtus, kui turuintressimäär on 8% (ka võlakirja intressimäär on 8%).
If
market
interest rate
i = 8%
Bond 8%
interest
payments
1 8% 0.92593 16,000 14,815
16000
2 8% 0.85734 16,000 13,717
16000
3 8% 0.79383 16,000 12,701
16000
4 8% 0.73503 16,000 11,760
16000
5 8% 0.68058 16,000 10,889
16000
6 8% 0.63017 16,000 10,083
16000
7 8% 0.58349 16,000 9,336
16000
8 8% 0.54027 16,000 8,644
16000
9 8% 0.50025 16,000 8,004
16000
10 8% 0.46319 16,000 7,411
16000
6.71008
107,361




number of periods =
number of payments
n market interest rate
i PV
of Annuity of 1 annuity PV
of annyity
10 8% 6.71008 16,000 107,361




period
n market interest rate
i PV
of 1 principal PV
of single sum
10 8% 0.46319 200,000 92,639
200,000







time (future)
PV of a bond
1
2
3
4
5
6
7
8
9
10
200,000 PV

Sheet 3: PV of a bond, i=7%

Present Value of a Bond






period
n market interest rate
i PV
of 1 single sum PV
of single sum
If
market
interest rate
i = 7%
Bond 8%
interest
payments
1 7% 0.93458 16,000 14,953
16000
2 7% 0.87344 16,000 13,975
16000
3 7% 0.81630 16,000 13,061
16000
4 7% 0.76290 16,000 12,206
16000
5 7% 0.71299 16,000 11,408
16000
6 7% 0.66634 16,000 10,661
16000
7 7% 0.62275 16,000 9,964
16000
8 7% 0.58201 16,000 9,312
16000
9 7% 0.54393 16,000 8,703
16000
10 7% 0.50835 16,000 8,134
16000
7.02358
112,377




number of periods =
number of payments
n market interest rate
i PV
of Annuity of 1 annuity PV
of annyity
10 7% 7.02358 16,000 112,377




period
n market interest rate
i PV
of 1 principal PV
of single sum
10 7% 0.50835 200,000 101,670
200,000







time (future)
PV of a bond
1
2
3
4
5
6
7
8
9
10
214,047 PV

Sheet 4: PV of a bond, i=9%

Present Value of a Bond






period
n market interest rate
i PV
of 1 single sum PV
of single sum
If
market
interest rate
i = 9%
Bond 8%
interest
payments
1 9% 0.91743 16,000 14,679
16000
2 9% 0.84168 16,000 13,467
16000
3 9% 0.77218 16,000 12,355
16000
4 9% 0.70843 16,000 11,335
16000
5 9% 0.64993 16,000 10,399
16000
6 9% 0.59627 16,000 9,540
16000
7 9% 0.54703 16,000 8,753
16000
8 9% 0.50187 16,000 8,030
16000
intressimäär turul on 9%, aga võlakirjamäär 8%. 9 9% 0.46043 16,000 7,367
16000
10 9% 0.42241 16,000 6,759
16000
6.41766
102,683




number of periods =
number of payments
n market interest rate
i PV
of Annuity of 1 annuity PV
of annyity
10 9% 6.41766 16,000 102,683




period
n market interest rate
i PV
of 1 principal PV
of single sum
10 9% 0.42241 200,000 84,482
200,000







time (future)
PV of a bond
1
2
3
4
5
6
7
8
9
10
187,165 PV