The problem is missing some details. But here is the complete solution. Now consider the second alternative-5 annual payments of $2,000 each. Assume that the payments are made at the starting of each year.
N = 5
I = 10.25
---> this is computed by: [(1+i/n)^n] -1I = <span>[(1+10/2)^2] -1 = 10.25
</span>PV = O
PMT = -2,000
Using a financial calculator...
Future Value = 13, 528.90
Answer:
The bond will sell at $4831.43
Explanation:
Given C = 0, FV = $1000, YTM= 5.31%, n =30 years
BV= ?
BV for a zero coupon bond is = F / (1+r)^-n*t
So we are told there is semi annual compounding
have to calculate
n = 30*2 = 60 periods
r = 5.31/2 = 2.66%
BV = 1000/(1+0.0266)^-60
=$4831.43
Answer:
25% = 0.25 = 25/100 --> 1/4
90% = 0.90 = 90/100 --> 9/10
60% = 0.6 = 3/5
35% = 0.35 = 35/100 --> 7/20
33.3...% = 0.33... = 1/3
65% = 0.65 = 65/100 --> 13/20
How to calculate percentage:
[From decimal]
Decimal x 100 = percentage
e.g. 0.2 x 100 = 20%
[From fraction]
Numerator / Denominator x 100 = percentage
top number / bottom number x 100 = percentage
e.g. 3/5 --> 3 / 5 x 100 = 0.6 x 100 = 60%
How to calculate decimal:
[From percentage]
Percentage / 100 = Decimal
e.g. 45% / 100 = 0.45
[From fraction]
Numerator / Denominator = Decimal
top number / bottom number = Decimal
e.g. 7/8 = 7 / 8 = 0.875
How to calculate fraction:
[From percentage]
Percentage number / 100 --> simplify
e.g. 38% --> 38/100 --> 19/50
[From decimal]
Decimal x 100 / 100 --> simplify
e.g. 0.75 --> 0.75 x 100 = 75 --> 75/100 --> 3/4
Hope this helps :)
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