Present Value Computations
Using the present value tables, solve the following.
Round your answers to two decimal places.
Required:
What is the present value on January 1, 2016, of $30,000 due on January 1, 2020, and discounted at 10% compounded annually?
What is the present value on January 1, 2016, of $40,000 due on January 1, 2020, and discounted at 11% compounded semiannually?
What is the present value on January 1, 2016, of $50,000 due on January 1, 2020, and discounted at 16% compounded quarterly?
**The answers posted are not correct, and that's why I am reposting this question. Thank you!
(a) | Present value | = | A*(1+i)^-n | Where, | ||||||
= | 30000*(1+0.10)^-4 | A | $ 30,000 | |||||||
= | $ 20,490.40 | i | 10% | |||||||
n | 4 | |||||||||
(b) | Present value | = | A*(1+i)^-n | Where, | ||||||
= | 40000*(1+0.055)^-8 | A | $ 40,000 | |||||||
= | $ 26,063.95 | i | 11% | / | 2 | = | 0.055 | |||
n | 4 | * | 2 | = | 8 | |||||
(c) | Present value | = | A*(1+i)^-n | Where, | ||||||
= | 50000*(1+0.04)^-16 | A | $ 50,000 | |||||||
= | $ 26,695.41 | i | 16% | / | 4 | = | 0.04 | |||
n | 4 | * | 4 | = | 16 |
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