How much invested now at i= 7% would be enough to provide three payments, with the first payment in the amount of $8400 occurring two years hence (count from time zero), then $6800 five years hence (count from time zero), $5000 seven years hence (count from time zero)? (Please keep the integer)

How much invested now at i= 7% would be enough to provide three payments, with the first payment in the amount of $8400 occurring two years hence (count from time zero), then $6800 five years hence (count from time zero), $5000 seven years hence (count from time zero)? (Please keep the integer)

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 9EB: If you invest $15,000 today, how much will you have in (for further instructions on future value in...

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Concept explainers

Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.

Question

How much invested now at i= 7% would be enough to provide three payments, with the
first payment in the amount of $8400 occurring two years hence (count from time zero),
then $6800 five years hence (count from time zero), $5000 seven years hence (count
from time zero)?
(Please keep the integer)

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1. (See image), which assumes continuous compounding, says that the Future value (F) of an amount (P) invested today at an annual rate (r), expressed as a decimal for the time (t), in years is given by the function. Thus if you invested $100 now at the annual rate of 5 1/2% for 6 years and 3 months you would get back (at the end of the time), F = $100e^(0.055)^(6.25) = $100e^(0.3438) = $100(1.4102) = $141.02. Suppose you put $2000 in a savings account when your son was born for 18 years and 6 months to help pay for his college education. If you can earn 3% annually on it, what should you have in his education savings account in 18 years and 6 months?
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