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MAcapital budget

Ddaniel11y ago
Z Co is evaluating a project which will generate cash flows of $2,600 each year in years four to eight. (The first amount will be received in four years from now.) What is the present value of the project cash flows using a discount rate of 14%?
MmrjonbainModerator11y ago#1
There is more than one way of calculating the answer to this question. Here is one method: $2600x4.639=12061.4 4.639 is annuity for 8 years at 14%. $2600x2.914=$7576.4 2.914 is annuity for 4 years at 14%. $12061.4-$7576.4=$4485 $4485 is present value of cash flows at this discount rate.
John MoffatJohn MoffatAdmin11y ago#2
Almost, but not quite. You should take the 8 year annuity factor and subtract the 3 years annuity factor (not 4 year) - this will leave you with 4 to 8 inclusive. (Daniel: I suggest you watch the free lecture on discounting where I go through examples like this.)
Ddaniel11y ago#3
Thank you sir, am so grateful!!!
John MoffatJohn MoffatAdmin11y ago#4
You are welcome :-)
MmrjonbainModerator11y ago#5
Sorry for messing up the calculation.Thank you for the correction.
Ddaniel11y ago#6
Sir pls if i may ask, in one of your lectures, u made mention of sometin like this!! That since it started from 4 yrs to 8, u count frm the 4th yr to get your 4yrs and in counting it will be on the 7th year.pls can u verify it for me? Maybe i made a mistake in understanding it. thanks!!!
WWemimo11y ago#7
We should take note that first amount is from year 4, so we can not use year 8 directly in our calculation as it does not start from year 1. Here we will subtract annuity of year 8 from year 3.i.e Annuity for Year 8 @14%=4.639 Annuity for Year 3 @14%=2.322 Difference=2.317 Present value =2600*2.317=6024.2
John MoffatJohn MoffatAdmin11y ago#8
Daniel: If you want me to answer then please ask in the Ask the Tutor Forum in future. What Wemimo has written is correct, although I am not sure that is what you are referring to. What I think you misunderstood was a question where an amount was received in each of 4 years, with the first receipt being in 4 years time. In that case, the receipts will be in 4 year, 5 years, 6 years, 7 years. So the last receipt will be in 7 years time. (i.e. years 4 to 7)
FSFarzana sultana11y ago#9
Hi wemimo,I could not understand. Could u plz explain y hv u taken 3 years instead of taking 4 years?
FSFarzana sultana11y ago#10
Thank you sir, now I understood.
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