An asset was issued 8 months ago. The asset promised to make semi-annual payments (one payment every six months) of $170 each, from the date of issuance, for two years. All payments are equally risky and thus they have the same discount rate. You've decided that the discount rate is 7%. According to these numbers, how much is the asset worth to you today? Round your answer to the NEAREST DOLLAR.
The worth of the asset today is the present value of the future payments associated with the asset
The discount rate if 7%
There are 4 months remaining for the next semi-annual payment, 10 months remaining for the subsequent payment and 16 months remaining for the last payment
The present value of future payments = 170/(1+0.07*4/12) + 170/(1+0.07*10/12) + 170/(1+0.07*16/12)
Present value of the future payments = $482.24
Hence, asset worth to you today = $482
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