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- From: Business,
- Posted on: Tue 23 Jul, 2013
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1.Often in personal finance we want to know what our $1 investment today will be worth in 20 years. In business however, there is more concern with answering the question, “If I receive $100 in 5 years, what is that worth today?” To answer this question, modify the formula fv = pv*((1+i)^n) and use the reciprocal. Simply stated, the reciprocal of a number is 1 divided by the number; the reciprocal of 10, for example, is 1/10. In the formula above, we divide both sides by ((1+i)^n), which creates a new formula where the fv is multiplied by the reciprocal of the original: fv*(1/((1+i)^n))=pv. Select an interest rate and number of periods—be sure your numbers are different from other students who already answered this question—to calculate the present value of $100 received in the future. What would the value of $100 in the future be today given the interest rate and number of periods you selected?

2.The formula to calculate the value of $1 put into savings today is fv = pv*((1+i)^n). The variables are fv = future value, pv = present value, i = interest rate per period, and n = the number of periods. In the formula, n is an exponent. What does the exponent in this case state that you need to do mathematically to the (1 + i) segment of the formula? Select an interest rate and number of periods—be sure your numbers are different from other students who already answered this question—to calculate the future value of $1. How much money would you have at the end of the period you determined if you invested $1 today (pv)?

Solution Description

2.The formula to calculate the value of $1 put into savings today is fv = pv*((1+i)^n). The variables are fv = future value, pv = present value, i = interest rate per period, and n = the number of periods. In the formu