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Novay_Z [31]
2 years ago
13

You will receive annual payments of $800 at the end of each year for 12 years. The first payment will be received in Year 3. Wha

t is the present value of these payments if the discount rate is 7 percent?
a. $5,465.20
b. $6,018.52
c. $6,299.80
d. $5,549.96
e. $6,856.60
Business
1 answer:
Aneli [31]2 years ago
3 0

Answer:

Option (d) $5,549.96

Explanation:

Data provided in the question:

Annual payments = $800

Time, n = 12 years

Discount rate, r = 7% = 0.07

Now,

PV2 = Annual payments × ((1 - (1 + r)⁻ⁿ)) ÷ r ) × (1 + r)

=  $800 × ( (1 - ( 1 + 0.07)¹²)) ÷ 0.07) × (1 + 0.07)

PV2 = $6,354.15

Therefore,

Present value today = PV2 ÷ (1 + r )²

= $6,354.15 ÷ (1 + .07)²

or

= $5,549.96

Hence,

Option (d) $5,549.96

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