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Фінансова статистика - Shustikov A.A.

13.3. The hourly value of zvichayno rents

Pіd by сусусною, або reduced, the value of rent rises up the sum of all the discounted members of the rent at a later date. The hourly value is equivalent to the financial value of all payments, which is hired by rent. Tsei otprazychnik otnoschayut broadly zastosuvannya in rozraunkah with extinguished dovgostrokovy pozichok, otsіntsі ta rіvіvnyannі rіznu zobov'azan 'i nadehodzhen', efektivnostі інвестицій, розрахунків по страхуванню. The hourly value of the rent is to be enforced in the course of the settlement of compensatory compensations of the poorest species in the pre-settlement period, but the perebachayut vzaimnі zobov'yazanya storin.

I know the value of the riche, the member of the anchorage, the rate of payment, the rent rate, and the lines of rent n rock. The discount value of the first payment is R (1 + i ) -1, the other - R (1 + i ) -2, n -th payment - R (1 + i ) - n . The series is a geometric progress with the first term R (1 + i ) -1 and the denominator (1 + i ) -1 with the number of terms in n . The hourly value of a rent is to be calculated as a sum of geometric progress for such a formula:

,

De A - the value of the rent; An; i is the coefficient of reduced rent. Цей коефіцієнт показує, у скільки разів сучасна magnitude більша за її member. Graphically, the value of the rent can be represented by such a rank (Fig. 13.2):

Fig. 13. 2. The Roshraunok of the relative value of the rent

Applied 5. It is necessary to exclamate the sum, to deposit the yak of the bank on the rakhunok from the bank, which is accumulated in the rock for the rate of collapsible goods in 5% of the riches, in order to increase the amount of the pension in the amount of 100 hryvnias.

UAH

Річна a rent from nahrauvannjam відсотків m разів на рік.

.

The hourly value of p-terminality (m = 1).

Yakshchoy payment zdіysnayutsya not one, but r raziv on the river , and videsochekah nahachuyutsya once on the rik, then koefitsynt vyblyonya mi Viglyad:

,

And at the same time the value of the rent is higher than the formula:

.

The zagalny vipadok znahodzhennya sushasnoї magnitudes of rent, if vidosotka naharoivutsya m raziv, vyplati vidbuvayutsya r- razov on the river , and :

.

Applied 6. Necessarily vysnachiti suma, potrybnu for that, shobob mozhna bilo viplachuvati creditori schokvartalno 100 uah. Stretching 5 rock, yakshcho on your rahunok at the bank vidsochki nahachovuyut kozhni pivroku for a foldable rate of 5% rіchnih.

Rozvjana : the member of the rent R = 100 • 4 = 400.

UAH

Mizh naroschennoyu sumoyu і sushnosyu value of renti існує взаємозв'язок. Suffice the value of the rent can be rejected with the help of discounted promotional sums, tobto . An additional sum can be given for the value of the relative value, ie S = A (1 + i ) n .

Vichnaya renta - tse poslidovnist neomenezhenogo number of payments, yaki rallyed by the stretch of neskinchenoi kіlosty rock. The stock of such rents is the payment of divorces for shares, see for example payments, extensions to the Pensions fund.

Коефіцієн summary of historical rent:

.

The formula of the succusive magnitude of the viscous rent is such a vigil:

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Приклад 7. Скільки коштує акція з щорічними дивідендами 40 UAH., Якщо відсоткова rate, for the alleged discount подібні акції, дорівнює 8%?

Rozvianna :

UAH., Тобто вартість даної акції 500 грн.