$1)$ Present and Future Values of Single Cash Flows for Different Periods

Find the following values, using the equations, and then work the problems using a financial calculator to check your answers. Disregard rounding differences. $($Hint: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in parts b and d$,$ and in many other situations, to see how changes in input variables affect the output variable.$)$ Do not round intermediate calculations. Round your answers to the nearest cent.

a$.$ An initial $$200$ compounded for $1$ year at $8\%.$

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b$.$ An initial $$200$ compounded for $2$ years at $8\%.$

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c$.$ The present value of $$200$ due in $1$ year at a discount rate of $8\%.$

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d$.$ The present value of $$200$ due in $2$ years at a discount rate of $8\%.$

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$2)$ Present and Future Values of Single Cash Flows for Different Interest Rates

Use both the TVM equations and a financial calculator to find the following values. $($Hint: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in parts b and d$,$ and in many other situations, to see how changes in input variables affect the output variable.$)$ Do not round intermediate calculations. Round your answers to the nearest cent.

a$.$ An initial $$800$ compounded for $10$ years at $4\%.$

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b$.$ An initial $$800$ compounded for $10$ years at $8\%.$

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c$.$ The present value of $$800$ due in $10$ years at a $4\%$ discount rate.

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d$.$ The present value of $$800$ due in $10$ years at an $8\%$ discount rate.

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