Answer:
The present value of the perpetuity is $12,242.27.
Explanation:
A perpetuity is an annuity that provide cash flow for an infinite period .Examples are Non -redeemable Preference Share.
Present Value (perpetuity) = Payments ÷ Required Rate
But, first change the 7.50 % nominal rate to Annual Effective Rate to match the period of Cash flow.
Effective Rate = (1 + r / m)^m - 1
= ( 1 + 0.0750 / 12) ^12 -1
= 7.76%
Therefore, Present Value (perpetuity) = $950 ÷ 7.76%
= $12,242.27
At the certain interest rate, present value (PV) is the current value of a future sum of money or stream of cash flows.
The discount rate determines the present value of the cash flows, and the higher the discount rate, the lower the current value of future cash flows.
The present value of the perpetuity is $12,242.27.
A perpetuity is an annuity that payments out during an indefinite period of time. Non-redeemable Preference Share is an example.
Present Value (perpetuity) = [tex]\frac{\text{Payments}}{\text{Required Rate}}[/tex]
However, to match the Working capital period, change a 7.50 percent nominal rate to a Yearly Effective Tax rate.
[tex]\text{Effective Rate} = (1 + \frac{r}{m} )^m - 1= [1 + \frac{0.0750}{12}]^{12} -1= 7.76\%[/tex]
Therefore, Present Value (perpetuity)= [tex]\frac{\$950}{7.76\%} = $12,242.27[/tex]
To know more about the calculations of the present value, refer to the link below:
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