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Calculate: Calculate a time value of money problem for A Through B and the equation provided for each problem. Letters Problem Equation A through B

Calculate:

  • Calculate a time value of money problem for A Through B and the equation provided for each problem.

Letters

Problem

Equation

A through B

Compute the future value of $2,000, at an interest rate of 5%, compounded annually, in 6 years.

Equation 4.11:

F

V

n

=P

V

0

(1+r)

n

C through D

Compute the future value of $1,000, at an interest rate of 3%, compounded annually, in 4 years.

Equation 4.11

F

V

n

=P

V

0

(1+r)

n

E through F

Compute the present value of $5,000 received in 6 years, using a discount rate of 2%.

Equation 4.14:

P

V

0

=F

V

n

(1+r)

n

also expressed as:

G through I

Compute the present value of $10,000 received in 4 years, using a discount rate of 7%.

Equation 4.14:

P

V

0

=F

V

n

(1+r)

n

also expressed as:

P

V

0

=

F

V

n

(1+r)

n

J through K

Compute the future value of annual payments of $100, paid for 5 years, with an interest rate of 8% (compounded).

Equation 4.17:

F

V

n

=C

F

1

(1+r)

N1

+C

F

2

(1+r)

N2

+...C

F

n

L through M

Compute the future value of annual payments of $1,000, paid for 4 years, using an interest rate of 3% (compounded).

Equation 4.17:

F

V

n

=C

F

1

(1+r)

N1

+C

F

2

(1+r)

N2

+...C

F

n

N through P

Compute the present value of annual cash payments of $200 per year, for 4 years, using a discount rate of 5%.

Equation 4.16:

P

V

0

=

C

F

1

(1+r)

1

+

C

F

2

(1+r)

2

+...

C

F

n

(1+r)

n

Q through S

Compute the present value of annual cash payments of $600 per year, for 3 years, using a discount rate of 8%.

Equation 4.16:

P

V

0

=

C

F

1

(1+r)

1

+

C

F

2

(1+r)

2

+...

C

F

n

(1+r)

n

T through V

Compute the present value of a $400 cash payment received in perpetuity, using a discount rate of 10%.

Equation 4.19:

P

V

0

=

CF

r

W through Z

Compute the present value of a $750 cash payment received in perpetuity, using a discount rate of 6%.

Equation 4.19:

P

V

0

=

CF

r

  • Write out each step you used to solve the problem you were assigned, and provide the solution to the problem as well.
    • Present your final solution as a decimal approximation carried out to the second decimal point (e.g., $000.00).
  • Explain the meaning of the problem and your solution.
  • Explain your answers to the following questions:
    • If the rate in the problem was higher, would the solution be higher or lower?
    • If the time period in the problem was shorter, would the solution be higher or lower?
  • Describe an element of this problem that was challenging to you.
  • Ask at least one question about time value of money mathematics.

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Time Value of Money Problems A through B Future Value of a Lump Sum Problem Compute the future value of 2000 at an interest rate of 5 compounded annually in 6 years Equation FV PV 1 rn Solution PV 200... blur-text-image

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