question archive Find the present value of $300 due in the future under each of these conditions: 8% nominal rate, semiannual compounding, discounted back 6 years

Find the present value of $300 due in the future under each of these conditions: 8% nominal rate, semiannual compounding, discounted back 6 years

Subject:FinancePrice:2.86 Bought12

Find the present value of $300 due in the future under each of these conditions:

  1. 8% nominal rate, semiannual compounding, discounted back 6 years. Do not round intermediate calculations. Round your answer to the nearest cent.
    $  

  2. 8% nominal rate, quarterly compounding, discounted back 6 years. Do not round intermediate calculations. Round your answer to the nearest cent.
    $  

  3. 8% nominal rate, monthly compounding, discounted back 1 year. Do not round intermediate calculations. Round your answer to the nearest cent.
    $  

  4. Why do the differences in the PVs occur?
    -Select-The present values decline as periods per year increase.The present values decline as periods per year decrease.The present values increase as periods per year increase.The present values are not affected by changes in the number of periods per year.The present values are positively related to the number of discounting periods per year.

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Present value = Future value/(1+i)^n

i = interest rate per period

n= number of periods

=>

a)

Present value = 300/(1+0.08/2)^12

= 187.38

b)

Present value = 300/(1+0.08/4)^24

= 186.52

c)

Present value = 300/(1+0.08/12)^12

= 277.01

d)

The present values decline as periods per year increase.