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Economics Questions 1, 2, 3, 4, and 5
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- Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is this fear true? Does a high risk mean the return must be low?Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.What is the present value of $1.21 received at the end of two years if the interest rate is 10% and compounding is annual? a- 1.31 b- 1.21 c- 1.10 d- 1.00 Which of the following is a leading economic indicator? a- average prime interest rate charged by banks b- stock prices, 500 common stocks c- commercial and industrial loans outstanding d- industrial production
- a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.The market for a product is expected to increase at an annual rate of 6%. First-year sales are estimated at $45,000, the horizon is 12 years, and the interest rate is 8%. What is the present value?
- 2. Assume a bond with the following characteristics: face value = $1000; maturity = 5 years; N yearly coupon payments = $100. a. If the current price of this bond is $850, state what the formula is to calculate the bond's yield to maturity and state the range of interest rates where the yield to maturity should fall b. If you purchased this bond at face value and held it for 1 year, when you resold it for $850, what is the bond's rate of return?7 Find the amount needs to be invested if the investors want to receive an annual net income worth 5,400,000 for 7 years. Use the Hoskold's Formula to compute the priceif the money is worth 8% on sinking fund and the yield of interest is 5%.Price =Suppose that you purchase a 2 year coupon bond at the time it is issued for $1100. The face value of the bond is $1000, with annual coupon payments of $80. a. What is the bond’s “coupon rate”? b. What is the bond’s “current yield”? c. What is the bond’s (nominal) “yield to maturity”? d. If you hold the bond for 1 year and sell it for $1035 (after collecting the first coupon payment), what is your “holding period rate of return”? Please answer all part otherwise Dounvote
- 5.What rate of simple interest will make a principal double itself in 6 years. a)16.67% b)8.33% c)33.33% d)4.16%Suppose a 3 year bond with a 6% coupon rate that was purchased for $760 and had a promised yield of 8%. Suppose that interest rates increased and the price of the bond declined. Displeased, you sold the bond for 798.8 after having owned it for 1 year. What should be the realized yield ?Give typing answer with explanation and conclusion Gustav Co. is planning to issue new 30-year bonds. The current plan is to make the bonds non-callable, but this may be changed. If the bonds are made callable after 5 years at a 5% call premium, how would this affect their required rate of return? Question 6 options: There is no reason to expect a change in the required rate of return. The required rate of return would increase because the bond would then be?