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- What is the present value for a future value of FV=$500,000 at time t=36 if the interest rate is r=0.05 (e.g., r=5%)? What is the interest rate “r” if PV=$100 and the FV=$350 in year t=12? What is the interest rate “r” if PV=$1250 and the FV=$2150 in year t=10? How long will it take to double your investment if the interest rate is r=0.06 (r=6%)? How long will it take to increase your investment by 2.5 times if the interest rate is r=0.14 (r=14%)? Which is the better option if the interest rate is r=0.10 (r=10%)? Show all work used to arrive at your answer. a. Option I: Receive $1000 today at time t=0. b. Option II: Receive $1615 at time t=5.10) Which is the better option if the interest rate is r=0.07 (r=7%)? Show all work used to arrive at your answer. a. Option I: Receive $510 today at time t=0. b. Option II: Receive $1000 at time t=10.1) What is the future value at time t=3 for a present value of PV=$100 (e.g., t=0) if the interest rate is r=0.10 (e.g., r=10%)? 2) What is the future value at time t=18 for a present value of PV=$1525 (e.g., t=0) if the interest rate is r=0.085 (e.g., r=8.5%)? 3) What is the present value of a future value of FV=$500 at time t=5 if the interest rate is r=0.10 (e.g., r=10%)? 4) What is the present value for a future value of FV=$500,000 at time t=36 if the interest rate is r=0.05 (e.g., r=5%)? 5) What is the interest rate “r” if PV=$100 and the FV=$350 in year t=12? 6) What is the interest rate “r” if PV=$1250 and the FV=$2150 in year t=10? 7) How long will it take to double your investment if the interest rate is r=0.06 (r=6%)?8) How long will it take to increase your investment by 2.5 times if the interest rate is r=0.14 (r=14%)?9) Which is the better option if the interest rate is r=0.10 (r=10%)? Show all work used to arrive at your answer. a. Option I: Receive $1000 today at time…Find the PV and FV of an investment that makes the following end-of-year payments. The interest rate is 8%. Year Payment 1 100 2 200 3 400 Rate = 8% To find the PV, use the NPV function: PV = Year Payment x (1 + I )^(N-t) = FV1 100 1.17 116.64 2 200 1.08 216.00 3 400 1.00 400.00 Sum = ?PV = ?FV of PV = ?
- What is the interest rate “r” if PV=$100 and the FV=$350 in year t=12?1. Ati= 10% per year and a loan amount of $10,000. If N = 20, what are the payments and future value? Solve this problem using %3! a. Excel b. Formulaj. Find the PV and the FV of an investment that makes the following end-of-year payments. The interest rate is 8%. Year 1 $100, Year 2 $200, Year 3 $400 Year Payment 1 100 2 200 3 400 Rate 8% To find the PV, use the NPV function: Pv= $581.59 Year Payment x (1+ I)^(N- t) = FV 1 100 2 200 3 400
- 3 Use the formula for simple interest, I = Prt, to find the indicated quantity. Assume a 360 day year. |= $120; P = $2000; t= 270 days; r= ? % (Simplify your answer.)Find the total value TV of the given income stream and also find its present value PV (at the beginning of the given interval) using the given interest rate. (Round your answers to the nearest cent.) R(t) = 40,000 + 1,000t, 0 ≤ t ≤ 10, at 5% TV = $ PV = $Use a calculator to evaluate the present value of an annuity formula 1- P = m [ ^ - (1 + - - (₁ =) F for the values of the variables m, r, and t (respectively). Assume n = 12. (Round your answer to the nearest cent.) $50; 5%; 4 yr $
- Use factors and a spreadsheet to determine the interest rate per period from the following equation: 0 = -26,000 + 8,000(P/A,i∗,5) + 8,000(P/F,i∗,8) What is the interest rate per period? %Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)Compute the present value if future value (FV) = $4892, interest rate (r) = 14.0%, and number of years (t) = 16.