If Po is the initial price of the security, P₁ is the price after you hold it for a year, and X represents a direct payment, an asset's rate of return is equal to:
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- State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 A. Calculate the expected return (mean) for each security.Use the following table to calculate the expected return from the asset. Return Probability 0.1 0.25 0.2 0.5 0.25 0.25 20.00% 18.75% 17.50% 15.00%The required return of a risk-free asset can be approximated by The pure time value of money and anticipated inflation premium. а. The 20-year T-bond yield. Ob. The 90-day T-bill rate plus the risk premium. C. The 90-day T-bill rate plus anticipated inflation premium. d.
- To find the present value (PV) of an ordinary annuity, a. the interest is compounded and then subtracted from the FV. O b. each payment is divided by (1+1)* c. each payment is multiplied by (1+1). O d. the future value (FV) is divided by the interest rate. e. the future value is divided by (1+1)*: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…State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 1. Calculate the standard deviation for each security.
- The correct formula to calculate the future value (FV) of a present value (PV) when simple interest is used is? Note: N would be number of periods and i would be the interest rate. A. FV = PV X (1+i)^N, where^ represents power B. FV = PV X (1+i)^-N, where^ represents power O C. FV = PV/((1+i) X N) D. FV = PV x (1 + (N x i)) Reset Selection Mark for Review What's This? The correct formula to calculate the future value (FV) of a present value (PV) when simple interest is used is? Note: N would be number of periods and i would be the interest rate. A. FV = PV X (1+i)^N, where^ represents power OB. FV = PV X (1+i)^-N, where^ represents power C. FV = PV /((1+i) x N) D. FV = PV x (1 + (N X i)) Reset Selection Mark for Review What's This?The present value of a lump sum future amount: O A. increases as the interest rate decreases. OB. decreases as the time period decreases. OC. is inversely related to the future value. O D. is directly related to the interest rate.Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%
- The formula for calculating the discount rate to use in net present value (NPV) calculations is as follows PV = 1+ (1+r)" Where 'r represents: OA. The number of years you are investing B. The initial investment OC. The number of years - stated as a decimal D. The cost of capital stated as a decimal20. What is X in the formula: FV = X(1+r) ? Select one: a. The future value of an annuity with X cash flows b. The present value of a single cash flow in one period's time c. The future value of a single cash flow in one period's time d. The present value of an annuity with X cash flowsWe have purchased a security with the following payment schedule: Year 1 2 3 Payment $100 S150 S400 If the present value of this investment is $580.59, what is the rate of return (or interest rate) ?