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Compute the number of years (t) if
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- Calculate Present Values For each of the following, compute the present value: Present Value Years Interest Rate Future Value 6 7% $13,827 11 15 43,852 19 11 725,380 29 18 590,710Compute the interest rate if future value (FV) = $7198, present value (FV) = $2694, and number of years (t) = 9For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yr
- Compute the present value if future value (FV) = $4892, interest rate (r) = 14.0%, and number of years (t) = 16.Complete the following using compound future value. Time 2 years, Principal $15,000, Rate 8%, Compounded quarterly. What is the amount? What is the interest?For each of the following, compute the future value: Present Value Years Interest Rate Future Value $ 2,250 4 18% 9,310 9 6 76,355 15 12 183,796 21 8
- Assume that time is measured in years. Calculate the total present value at time 0 of a payment of £257 paid at time 4 and a payment of £67 paid at time 12, using an interest rate of 5% per annum effective.Compute the following with the data provided: (Show sufficient work with formulas used and all the steps involved ) A=$12, 500.00 per Quarter r=7.5% N=12 years Present Worth if the interest is compounded monthly? Future Value if the interest is compounded Quarterly: Present Worth if the interest is compounded continuously?Complete the following using compound future value. Time 13 years, Principal $16,800, Rate 2%, Compounded annually. What is the amount? What is the interest?
- For each of the following situations involving single amounts, solve for the unknown (?). Assume that interest is compounded annually. (i = interest rate, and n = number of years) Present Value Future Value i n1. ? $ 40,000 10% 52. $ 36,289 65,000 ? 103. 15,884 40,000 8 ?4. 46,651 100,000 ? 85. 15,376 ? 7 20Calculate the future value if present value (PV) = $1,020, interest rate (r) = 11.9% and number of years (t) = 15For each of the following cases, indicate (a) to what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): \table||,Annual Rate, \table[[Number of], [Years Invested]], Compounded], [Case A,5%,5, Annually], [Case 8,8%, 4, Semiannually]]\ table[(a)..(b)], [Case A,%, periods,], [Case B,%, periods,,]] (2) In Table 2 (future value of an annuity of 1): \ table[],Annual Rate,\table[[Number of], [Years Invested]], Compounded], [Case A,4%, 12, Annually), (Case B,6%, 5,Semiannually]] \table[[,(a), (b)].[..%,periods], [Case A,%, periods,]]