0
Note: This is not a plead to help with my homework
Here's the question in a book, which I'm trying to solve using Excel's PV
function:
A £100 bond has one year to maturity. The bond pays 6% per year with coupon payments made quarterly. The interest rate is 5.8% per year with interest compounded semi-annually. Calculate the value of the bond.
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║ ║ A ║ B ║ C ║ D ║
╠═══╬══════╬═════╬══════════╬═══════════════════════╣
║ 1 ║Period║ Amt ║ PV ║ Formula ║
║ 2 ║ 0.25 ║ 1.5 ║ 1.4787 ║ =B2/(1+5.8%/2)^(A2*2) ║
║ 3 ║ 0.5 ║ 1.5 ║ 1.4577 ║ =B3/(1+5.8%/2)^(A3*2) ║
║ 4 ║ 0.75 ║ 1.5 ║ 1.4370 ║ =B4/(1+5.8%/2)^(A4*2) ║
║ 5 ║ 1 ║ 1.5 ║ 1.4166 ║ =B5/(1+5.8%/2)^(A5*2) ║
║ 6 ║ 1 ║ 100 ║ 94.4429 ║ =B6/(1+5.8%/2)^(A6*2) ║
║ 7 ║ ║ ║ ║ ║
║ 8 ║ ║ Val ║ 100.2330 ║ =SUM(C2:C6) ║
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I understand the formula, but I'm not able to use the PV
function to get the result. Here's what I tried:
=PV(5.8%/2,4,1.5,100)
# Result: 94.78
As I understand,
- the first argument should be the rate (divided by the number of compoundings in a year)
- the second should be the number of periods (which in this case is 4 - 4 quarterly payments in a year)
- the annuity payment made during each period
- the future value paid / received after the payment of last annuity
I think the discrepancy has to do with the fact that the payments are made quarterly and the discount rate is compounded semi-annually; I don't understand it, though.
Do you have to use the
PV
function or be open to something else? – Mark Fitzgerald – 2018-07-24T09:24:24.587@MarkFitzgerald, I'm not doing this to accomplish some temporary task. I wanted to learn working with Excel's financial functions. So, I want to use
PV
. However, if you have any other method, please feel free to add it as an answer; it might give me more clarity. – Popeye_The_Sailorman – 2018-07-24T09:28:37.897Why don't you try this one,
=PV(5.8%/2,12/3,100)
where5.8%/2
is semiannual rate,4
is4
payments in year (quarterly) &100
isPMT
, it returns372.60
– Rajesh S – 2018-07-24T12:57:47.687