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Question1.1-What is the present value of a constant perpetuity of 25 per year where the required ratQuestion 1. 1-What is the present value of a constant perpetuity of 25 per year where the required rate of return is 5%? 193.61 22.73 500.00 250.00 2-Calculate the 2 year annuity factor if the required rate of return is 2.486 1.736 0.091 0.826 3-What is the present value of a cash inflow of 1250 four years from now if the required rate of return is 8% (Rounded to 2 decimal places)? 918.79 938.75 835.75 992.50 4-What is the future value of 875 six years from now if the required rate of return is 7% (Rounded to 2 decimal 1550.50 1147.13 1281.00 1313.14 5-If the present value of a growing perpetuity is 214, the required rate of return is 10%, and growth rate is 3%, what is the cash flow in year 1? (Round to the nearest whole number). 3057 15 21 6 6-If a bond is trading at a premium, what is the relationship Coupon Rate < Current Yield < Yield to Maturity Coupon Rate > Current Yield > Yield to Maturity Coupon Rate > Yield to Maturity > Current Yield Coupon Rate = Current Yield = Yield to Maturity 7-What is the current yield on a 3 year bond with 10% annual coupons, a par value of 100, and a current price of 107.87? 7.37% 7.00% 9.27% 10.00% 8-What is the yield to maturity for a 3 year bond with a 10% annual coupon if the bond is trading at par? 9.00% 11.00% 10.00% 9.75% 9-What is the price of a two year bond with a 9% annual coupon and a yield to maturity of 8%? 97.51 101.78 105.25 102.53 10-What is the definition of yield to maturity? The return the investor gets from the income component of a bond as a percent of it’s current price The overall return the investor makes if they purchase a bond today and hold to maturity The overall return the investor makes as a percent of a bond’s par value The return the investor gets from the 11-What is the weight of capital for ABC Limited which has the following capital structure? $5m of equity with a cost of equity of 15%; $2m of mezzanine finance with a cost of 9.5%; $1m of senior debt with a cost of debt of 7% 13.73% 8.63% 9.56% 12.63% 12-What is the expected share return given the following macro-economic 7% 12% 8% 10% 13-Calculate a four-day moving average for the price of the stock for the end of Day 7. Day 1 – 62.00; Day 2 – 56.00; Day 3 – 50.00; Day 4 – 60.00; Day 5 – 59.00; Day 6 – 55.00; Day 7 – 59.00; Day 8 – 63.00 56.25 57.00 58.25 59.00 14-Calculate a three-day weighted moving average for the price of the stock for the end of Day 7 where the most recent price has a weight of 3, the next has a weight of 2, and the oldest price has a weight of 1. Day 1 – 62.00; Day 2 – 56.00; Day 3 – 50.00; Day 4 – 60.00; Day 5 – 59.00; Day 6 – 55.00; Day 7 – 59.00; Day 8 – 63.00 57.17 57.83 56.00 57.67 15-An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number? 210, 3942 210, 63 203, 63 203, 3942 16-In the simple linear regression equation y = α + βx + ε, what is β? The The slope of the line of best fit The independent variable The y intercept 17-Covariance is best described as: a measure of how much two sets of numbers change together a measure of how far one set of numbers are spread out from each other a weighted average of all possible values that a variable can take on the square 18-What does a diagram of a perfectly positive correlation look like? A curved line that slopes from the bottom left to the top right quardrant A perfectly straight line that slopes from the bottom left to the top right quardrant A perfectly straight line that slopes from the top left to the bottom right quardrant A scatter plot that have dots all over the place How do you calculate the present value of a perpetuity?The present value of a perpetuity is determined by simply dividing the amount of the regular cash flows by the discount rate. A growing perpetuity includes a growth rate that increases the cash flows received each period going forward. What is the present value of a perpetuity of $100 given a discount rate of 5 %?The answer is A. Applying the formula, the present value is: 100 / 5% = 100 * 20 = 2000. What is the present value of a cash inflow of 1250 four years from now if the required rate of return is 8% rounded to 2 decimal places )? CFI?So in the denominator we have 1 plus the rate interest which is 0.08 and that elevated to the 4 in the numerator, we have the future value. That is 1250 point. So using our calculator remember that we need to answer with 2 decimal places, so that will be 918.79. What’s the present value of a perpetuity that pays $250 per year if the appropriate interest rate is 5 %?present value of perpetuity = annual payment / discount rate. present value of perpetuity = 250 / 5% present value of perpetuity = 5,000. |
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