Question

If you deposit $1000 in one year, $2000 in two years and $3000 in three years,...

  1. If you deposit $1000 in one year, $2000 in two years and $3000 in three years, $4000 in four years, $5000 in five years. How much will you have in five years at 9 percent interest? How much in 10 years if you add nothing to the account after the fifth year?

  1. a) Suppose you invest $2500 in a mutual fund today and $5000 in one year. If the fund pays 9% annually, how much will you have in two years?

b) Suppose you plan to deposit $2500 into an account in one year and $5000 into the account in three years. How much will be in the account in five years if the interest rate is 9%?

  1. You are offered an investment that will pay $1000 in year 1, $2000 the next year, $3000 the following year, and $4000 at the end of the 4th year. You can earn 9% on similar investments. What is the most you should pay today for this one?

  1. a) You are considering an investment that will pay you $1,000 in one year, $2,000 in two years and $3,000 in three years. If you want to earn 9% on your money, how much would you be willing to pay?

Homework Answers

Answer #1
Future Value
Last period= 5
Compounding rate 9.000%
Year 0 1 2 3 4 5
Cash flow stream 0 1000 2000 3000 4000 5000
Compounding factor 1.539 1.412 1.295 1.188 1.090 1.000
Compounded cash flows   0.000 1411.582 2590.058 3564.300 4360.000 5000.000
FV = Sum of compounded cash flows
FV= 16925.94
Where
Compunding factor = (1 + rate)^(Last period-Corresponding period in years)
Compounded Cashflow= Cash flow stream*compounding factor
Future Value
Last period= 10
Compounding rate 9.000%
Year 0 1 2 3 4 5
Cash flow stream 0 1000 2000 3000 4000 5000
Compounding factor 2.367 2.172 1.993 1.828 1.677 1.539
Compounded cash flows   0.000 2171.893 3985.125 5484.117 6708.400 7693.120
FV = Sum of compounded cash flows
FV= 26042.66
Where
Compunding factor = (1 + rate)^(Last period-Corresponding period in years)
Compounded Cashflow= Cash flow stream*compounding factor
Please ask remaining parts seperately
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