Question

Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?

240

likes
1201 views

Answer to a math question Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?

Expert avatar
Bud
4.6
95 Answers
Las anualidades perpetuas son un tipo de acuerdo financiero en el que una serie de pagos continúa indefinidamente, lo que significa que no hay una fecha de finalización especificada. Si bien el concepto de anualidades perpetuas implica un número infinito de pagos, los cálculos prácticos se basan en el supuesto de que los pagos continuarán para siempre. La fórmula para calcular el valor presente (PV) de una anualidad perpetua implica dividir el pago anual (PMT) por una tasa de descuento (r). La fórmula es la siguiente: PV= \frac Dónde: PV es el valor presente de la anualidad perpetua. PMT es el pago anual. r es la tasa de descuento. Esta fórmula se deriva del concepto de valor presente, que refleja la idea de que el valor de los pagos futuros disminuye con el tiempo cuando se descuentan a una determinada tasa. En el caso de una anualidad perpetua, la división por la tasa de descuento supone que los pagos continuarán indefinidamente. Es importante tener en cuenta que las anualidades perpetuas son construcciones teóricas y, en realidad, los pagos verdaderamente perpetuos son raros. La mayoría de los instrumentos financieros tienen una duración finita, pero para simplificar en ciertos modelos financieros, se pueden utilizar las perpetuidades como concepto matemático. En términos prácticos, cuando se trata de instrumentos financieros que tienen una vida útil finita, se utilizaría una fórmula similar para el valor presente de una anualidad ordinaria, que implica descontar cada pago futuro a su valor presente y sumarlos. La fórmula de perpetuidad es una simplificación útil para discusiones teóricas y ciertos modelos financieros.

Frequently asked questions (FAQs)
Question: What is the derivative of f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 9?
+
What is the value of the constant function f(x) = c if f(100) = 7?
+
What are the maximum and minimum values of the function f(x) = x^2 - 4x + 3 over the domain x ∈ (-∞, +∞)?
+
New questions in Mathematics
12-6x=4x+2
String x = 5 Int y=2 System.out.println(x+y)
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
3x+5y=11 2x-3y=1
Derivative of x squared
7/6-(-1/9)
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
logy/logx + logz/logy + logt/logz = 8x².t x=?
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
Is -11/8 greater than or less than -1.37?
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|
Two minus log 3X equals log (X over 12)
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
Write the inequality in the form of a<x<b. |x| < c^2
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?