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
96 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)
What is the derivative of f(g(x)) when f(x) = sin(x) and g(x) = ln(x)?
+
What is the product of the mixed numbers 2 3/4 and 1 1/2 when factored as proper fractions?
+
What is the result of factoring the mixed number 3 1/4?
+
New questions in Mathematics
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
(2x+5)^3+(x-3)(x+3)
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
Let f(x) = x² − 1. Find the equation of the tangent line to the graph of f at the point x0 = 2.
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
Solve : 15/16 divide 12/8 =x/y
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and
A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
Write an expression using compatible numbers that can be used to estimate the quotient 629\86
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
X^3 - x^2 - 4 = 0, what are the values of x?
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?
simplify w+[6+(-5)]
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?