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Based on the time value of money concept, which of the following cash flows is the best? $10,000 now $10,000 a year from now O $10,000 ten years from now No difference

          Based on the time value of money concept, which of the following cash flows is the best? $10,000 now $10,000 a year from now O $10,000 ten years from now No difference
        

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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Based on the time value of money concept, which of the following cash flows is the best? $10,000 now $10,000 a year from now O $10,000 ten years from now No difference
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Transcript

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00:01 So here we're going to do some discounting.
00:02 And let's think about the cash flow that we have.
00:05 So the first year, we get 80 ,000.
00:08 Now, the next year, we get 80 ,000.
00:14 But the rate of growth is 5%.
00:19 So next year, we're going to get 80 ,000 times an extra 5%.
00:24 The next year, we're going to get 80 ,000.
00:27 And then we're going to have them multiply that by 5 % twice, because it gets multiplied by 5 % and then that gets multiplied by 5 % again.
00:35 So this thing is going to grow at 5 % forever.
00:38 But the key thing is now we are going to discount it, right? you're going to discount it by saying that money in the future is worth 10 % less, right? so it is getting divided by 1 .1, right? money in the future is 10 % less.
00:54 This is what we call the discount rate.
00:56 And you'll notice that i'm dividing the first year by the discount rate.
01:01 Because the money is paid at the end of year, right? this is the key statement here.
01:08 It means that we're not getting the first payment until a year from now in the future, right? so that means the first 80 ,000 doesn't come for a full year, which means that the money that we're gonna receive does get discounted the first year.
01:22 Now the money in the second year gets discounted twice.
01:25 So we have to divide that by 1 .1 again, which gives us 1 .1 squared on the bottom.
01:31 Now money two years from now or three years from now is worth three times less, right? because it has worth again another 10 % less...
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