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1. What is the value at the end of year 7 for the following annual cash flow str

ID: 2612300 • Letter: 1

Question

1. What is the value at the end of year 7 for the following annual cash flow stream if the interest rate is 7% compounded monthly?

                        Time                 Cash Flow

                        0                      $1,000

                        1                      $1,500

                        2                      0

                        3                      $3,000

                        4                      0

                        5                      $2,000

Please Explain using Financial calculator.

Explanation / Answer

1. What is the value at the end of year 7 for the following annual cash flow stream if the interest rate is 7% compounded monthly?

                        Time                 Cash Flow

                        0                      $1,000

                        1                      $1,500

                        2                      0

                        3                      $3,000

                        4                      0

                        5                      $2,000

Effective Annual Interest rate = (1+7%/12)^12 - 1 = 7.229%

Value at the end of year 7 = 1000*(1+7.229%)^7 + 1500*(1+7.229%)^6 + 3000*(1+7.229%)^4 + 2000*(1+7.229%)^2

Value at the end of year 7 = $ 10,175.92

Note: You May use above equation in nomral as well as Financial calculator to calculate Value at the end of year 7