How to Calculate Present Values
- Pages: 1
- Word count: 242
- Category: Values
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1.If the discount factor is .507, then .507*1.126 = $1
2.125/139 = .899
3. PV = 374/(1.09)9 = 172.20
4. PV = 432/1.15 + 137/(1.152) + 797/(1.153) = 376 + 104 + 524 = $1,003
5.FV = 100*1.158 = $305.90
6. NPV = -1,548 + 138/.09 = -14.67 (cost today plus the present value of the perpetuity)
7.PV = 4/(.14-.04) = $40
8.a. PV = 1/.10 = $10
b. Since the perpetuity will be worth $10 in year 7, and since that is roughly double the present value, the approximate PV equals $5.
PV = (1 / .10)/(1.10)7 = 10/2= $5 (approximately)
c. A perpetuity paying $1 starting now would be worth $10, whereas perpetuity starting in year 8 would be worth roughly $5. The difference between these cash flows is therefore approximately $5. PV = 10 – 5= $5 (approximately)
d. PV = C/(r-g) = 10,000/(.10-.05) = $200,000.
9. a. PV = 10,000/(1.055) = $7,835.26 (assuming the cost of the car does
not appreciate over those five years).
b. You need to set aside (12,000 × 6-year annuity factor) = 12,000 × 4.623 =
$55,476.
c. At the end of 6 years you would have 1.086 × (60,476 – 55,476) = $7,934.
10.We did not cover continuous compounding so you do not need to worry about this question.
11. Same as 10.
