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stira [4]
3 years ago
14

What is the present value on January 1, 2016, of $30,000 due on January 1, 2021, and discounted at 12% compounded annually?What

is the present value on July 1, 2016, of $8,000 due January 1, 2021, and discounted at 16% compounded quarterly?What is the amount of the present value discount (the difference between future value and present value) on $8,000 due at the end of 5 years at 10% compounded annually?
Business
2 answers:
Anastaziya [24]3 years ago
7 0

Answer:

1. The Present value on January 1, 2016 of $30,000 due on January 1, 2021 and discounted at 12% is:

$17,022.80

2. The present value on July 1, 2016 of $8,000 due January 1, 2021, and discounted at 16% compounded quarterly is:

$3,949.02

3. The amount of the present value discount (the difference between future value and present value on $8,000 due at the end of 5 years at 10% compounded annually is:

$3,032.63

Explanation:

You will need to invest $17,022.80 at the beginning to reach the future value of $30,000.00.

FV (Future Value) $30,000.00

PV (Present Value) $17,022.80

N (Number of Periods) 5.000

I/Y (Interest Rate) 12.000%

PMT (Periodic Payment) $0.00

Starting Investment $17,022.80

Total Principal $17,022.80

Total Interest $12,977.19

2. You will need to invest $3,949.02 at the beginning to reach the future value of $8,000.00.

FV (Future Value) $7,999.99

PV (Present Value) $3,949.02

N (Number of Periods) 18.000

I/Y (Interest Rate) 4.000%

PMT (Periodic Payment) $0.00

Starting Investment $3,949.02

Total Principal $3,949.02

Total Interest $4,050.97

Total Interest $7,446.85

You will need to invest $4,967.37 at the beginning to reach the future value of $8,000.00.

FV (Future Value) $8,000.00

PV (Present Value) $4,967.37

N (Number of Periods) 5.000

I/Y (Interest Rate) 10.000%

PMT (Periodic Payment) $0.00

Starting Investment $4,967.37

Total Principal $4,967.37

Total Interest $3,032.63

ale4655 [162]3 years ago
5 0

Answer:

1. Future Value = 30,000

Rate = 0.12

Annual period, NPER = 5

Present value, PV = PV(0.12, 5,0,-30,000 ,0)

Present value, PV = $17,022.81

2. Future value = 8,000

Quarterly rate = 16%/4 = 4%

Number of quarters, Nper = 4.5*4 = 18

Present value, PV = PV (4% , 18, 0, -8,000 , 0)

Present value, PV = $3,949.02

3. Future value = 8,000

Annual rate = 0.1

Annual period, Nper = 5

Present value, PV = PV(0.1, 5, 0, -8000, 0)

Present value, PV = $4,967.37

Present value Discount = 8,000 - 4,967.37

Present value Discount = $3,032.63

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