Question

Consider the following​ alternatives: i. $ 140 received in one year ii. $ 240 received in five years iii. $ 350 received in 10 years a. Rank the alternatives from most valuable to least valuable if the interest rate is 10 % per year. b. What is your ranking if the interest rate is 2 % per​ year? c. What is your ranking if the interest rate is 18 % per​ year?

Answer 1

Answer:

Ranking 10% interest rate:

1) 5 years

2) 10 years

3) 1 year

Raking 2% interest rate:

1) 10 years

2) 5 years

3) 1 year

Raking 18% interest rate:

1) 1 year

2) 5 years

3) 10 years

Explanation:

You have to apply to bring the amount of money to present value, according with the information, the formula is the next:

Present Value = Future Value/((1+ interest rate)^(n))

Where n is the number of years that you have to wait to receive the money.

You have to calculate every situation with the respective amount of time and interest rate, the result must be money. and when you get the 9 results, you have to compare every situation and chose the higher amount of money according to the interest rate, for example:

Present value = 140/ ((1+10%)^(1))=  127    

                       =  140/ ((1+10%)^(5))=   149    

                        =  140/ ((1+10%)^(5))=   135

So the answer for the first scenario with an interest rate of 10% is:  

Ranking 10% interest rate:

1) 5 years

2) 10 years

3) 1 year