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Joey is planning to invest his savings in a fixed income fund. He manages to deposit $700 at the end of the first year, $500 at the end of the second year, $300 at the end of the third year, and $600 at the end of the fourth year. If the fund earns 6 percent interest each year, the terminal value of this uneven cash flow stream at the end of Year 4 is _____.

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SouthernRider

Answer:

$2313.51

Step-by-step explanation:

Here we calculate the future value for each cash flow and add them up.

Given he deposited $700 at the end of the first year .

Here time to maturity is 3years and interest rate is 6%.

[tex]FV=C(1+r)^{t}[/tex]=   [tex]700(1+0.06)^3=$833.71[/tex]

Given he deposited $500 at the end of the second year .

Here time to maturity is 2 years and interest rate is 6%.

[tex]FV=C(1+r)^{t}[/tex]=   [tex]500(1+0.06)^2=$561.8[/tex].

Given he deposited $300 at the end of the third year .

Here time to maturity is 1years and interest rate is 6%.

[tex]FV=C(1+r)^{t}[/tex]=   [tex]300(1+0.06)^1=$318[/tex].

Also given that he deposited $600 at the end of fourth year .There will be no interest on this amount as it is done at the end.

Terminal value=833.71+561.8+318+600=$2313.51

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