Your friend has a rental property that nets $750 a month in income. He wants to sell you a 20 year equity share of the property that will pay $200 a month. If your discount rate is 4.5%, how much are you willing to pay for the share of the property?
Using financial calculator BA II Plus - Input details: |
# |
I/Y = Rate/Frequency = 4.5/12 = |
0.375000 |
PMT = |
-$200.00 |
N = Number of years x frequency = 20*12 = |
240 |
FV = Future Value = |
$0.00 |
CPT > PV = Present\value = |
$31,613.09 |
Formula based present value of annuity: |
|
PV = |PMT| x ((1-(1+R)^-N)/R = 200*(1-(1+0.375%)^-240)/0.375% = |
$31,613.09 |
The value that can be paid for $200 monthly income is $31,613.09
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