sistema monetario

4.1 calcular el valor futuro de $1000 anualmente capitalizables en 10 anos al 5%. 10 anos al 7% c. 20 anos a 5%

a. Future Value = C0 (1+r)T = $1,000 (1.05)10 = $1,628.89
b. Future Value = $1,000(1.07)10 = $1,967.15
c. Future Value = $1,000 (1.05)20 = $2,653.30
d. Because interest compounds on interest already earned, the interest earned in part (c), $1,653.30 (=$2,653.30 - $1,000) is morethan double the amount earned in part (a), $628.89 (=$1,628.89).
4.3 Preferiria usted recibir $1000 el dia de ho o $2000 dentro de l10 anos si la tasa de descuento fuera de 8%
The decision involvescomparing the present value, PV, of each option. Choose the option with the highest PV. Since the first cash flow occurs 0 years in the future, or today, it does not need to be adjusted.
PV(C0) =$1,000
Since the second cash flow occurs 10 years in the future, it must be discounted back 10 years at eight percent.

PV(C10) = C10 / (1+r)10 = $2,000 / (1.08)10 = $926.39
Since the present valueof the cash flow occurring today is higher than the present value of the cash flow occurring in year 10, you should take the $1,000 now.
4.4 Una empresa tieneuna pension en el pasivo de su balancegeneral por $1/5 millones, que sera pagadera despues de 27 anos contados a partir de hoy. Si la empresa puede invertir en un instrumento libre de riesgo que tenga una tasa de einteres de 8%. ¿Quécantidad de dinero deberá invertir la empresa hoy para estar en condiciones de hacer el pago de $ 1.5 millones?
The future value, FV, of the firm’s investment must equal the $1.5 million pensionliability.
FV = C0 (1+r)27
To solve for the initial investment, C0, discount the future pension liability ($1,500,000) back 27 years at eight percent, (1.08)27.
$1,500,000 / (1.08)27 = C0 = $187,780.23The firm must invest $187,708.23 today to be able to make the $1.5 million payment.
4.15. Suponga que deposita $1000 al final de cada uno de los cuatro anos. Si la cuenta deja 12% anual ¿Cuánto...