Question

An investment offers $6,600 per year for 10 years, with the first payment occurring one year from now. If the required return is 5 percent, what is the value of the investment? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.) Present value $ What would the value be if the payments occurred for 35 years? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.) Present value $ What would the value be if the payments occurred for 65 years? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.) Present value $ What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.) Present value $

Answer 1

Answer:

Instructions are listed below

Explanation:

Giving the following information:

An investment offers $6,600 per year for 10 years, with the first payment occurring one year from now. The required return is 5 percent.

A) FV= {A*[(1+i)^n-1]}/i

FV= {6600*[(1.05^10)-1]}/0.05= $83,014.09

PV= FV/(1+i)^n= 83,014.09/1.05^10= $50,063.39

B) n=35

FV= {6600*[(1.05^35)-1]}/0.05= $596,114.03

PV= 596,114.03/1.05^35= $108,069.69

C) n=65

FV= {6600*[(1.05^65)-1]}/0.05= $3,014,866.87

PV= 3,014,866.87/ 1.05^65= $126,463.06

D) PV= 6600/0.05= $132,000