You are considering the purchase of real estate that will provide perpetual
income that should average $50,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio's? The t-bill rate is 5%, and the expected market return is 12.5%.

You are considering the purchase of real estate that will provide perpetual income that should average 50000 per year How much will you pay for the property if class=

Respuesta :

Respuesta:

bueno para esto demos calcular el valor de la propiedad, podemos utilizar la tasa de capitalización o el método del flujo de caja descontado (DCF, por sus siglas en inglés).

Utilizando el método de la tasa de capitalización, dividimos el ingreso esperado por la tasa de rendimiento requerida. En este caso, la tasa de rendimiento requerida es la tasa libre de riesgo más la prima de riesgo, que es el rendimiento esperado del mercado menos la tasa libre de riesgo.

Tasa de rendimiento requerida = Tasa libre de riesgo + Prima de riesgo

Prima de riesgo = Rendimiento esperado del mercado - Tasa libre de riesgo

Dado que la tasa libre de riesgo es del 5% y el rendimiento esperado del mercado es del 12.5%, la prima de riesgo es:

Prima de riesgo = 12.5% - 5% = 7.5%

Por lo tanto, la tasa de rendimiento requerida es:

Tasa de rendimiento requerida = 5% + 7.5% = 12.5%

Ahora, podemos calcular el valor de la propiedad utilizando el ingreso perpetuo:

Valor de la propiedad = Ingreso esperado / Tasa de rendimiento requerida

Valor de la propiedad = $50,000 / 12.5% = $400,000

Por lo tanto, pagarías $400,000 por la propiedad si crees que su riesgo de mercado es el mismo que el de la cartera de mercado.

Explicación paso a paso:

To calculate the value of the property, we can use the capitalization rate or the discounted cash flow (DCF) method.

Using the capitalization rate method, we divide the expected income by the required rate of return. In this case, the required rate of return is the risk-free rate plus the risk premium, which is the market return minus the risk-free rate.

Required rate of return = Risk-free rate + Risk premium

Risk premium = Expected market return - Risk-free rate

Given that the risk-free rate is 5% and the expected market return is 12.5%, the risk premium is:

Risk premium = 12.5% - 5% = 7.5%

Therefore, the required rate of return is:

Required rate of return = 5% + 7.5% = 12.5%

Now, we can calculate the value of the property using the perpetual income:

Value of the property = Expected income / Required rate of return

Value of the property = $50,000 / 12.5% = $400,000

Therefore, you would pay $400,000 for the property if you believe its market risk is the same as the market portfolio's. aquí te lo dejo en ingles