Suppose you purchase a bond that has an 8,5% annual payment coupon. The bond has a par value of R1 000 and a maturity of 25 years, for R925. If the yield to maturity on the bond remains unchanged, what will be the price of the bond five years from now? 1. R 320,91 2. R 663,64 3. R 930,20 4. R1 953,15
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- A businessman expects to receive P20, 000.00 in 10 years. How much is that money worth now considering interest at 6% at compounded quarterly a.P11, 085.25 b.P11, 725.25 c.P13, 025.25 d.P11, 025.25What should be the time to maturity, IN YEARS, of the bond that has 7.7% of coupon rate and has the yield to maturity of 10% if it sells for $868? show calculations 6.97 3.09 8.74 7.92 3.06QUESTION 10 What is the effective Semi-annual interest rate considering a 15% APR compounded quarterly? 1.508% O 1.089% 7.641% 2.253%
- A man borrows P100,000 at 10% compounded annually, agreeing torepay the loan in twenty equal annual payments. How much of the original principal is stillunpaid after he has made the tenth payment? OPTIONS A. P69,890.42 B. P72,000.80 C. P72,173.90 D. P72,311.4417. Gracie bought a CD for $810 that earns a 2.9% APR and is compounded quarterly. The CD matures in 5 years. How much will this CD be worth at maturity? $963.34 $909.25 $883.35 $935.908. Consider a 10 year 6.50% annual coupon bond whose duration is 7.50 years when required rate of return (yield to maturity) is 6.50%. Prove that this bond is immunized if you hold it for 7.50 years.
- Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) = x10 Lorenz curve for 1963 g(x) = x13 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. .... What is the Gini index for 1963? (Round to three decimal places as needed.) What is the Gini index for 1983? (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 O B. Total assets were more equally distributed in 1983 O c. Total assets were distributed the same in 1963 as in 1983.Suppose a ten-year, $1,000 bond with an 8.9% coupon rate and semiannual coupons is trading for $1,035.05. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)?Suppose a ten-year bond with a $10,000 face value pays a 5.0% annual coupon (at the end of the year), has 2 years left to maturity, and has a discount rate of 6.5%. Which of thé following would give you the present value - i.e. the price – of the bond? Select one: a. Present Value = Price = $10,500/(1.065)² %3D %3D b. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] + ... + [$500/(1.065)NI, where N=00 c. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] +I$10,000/(1.065)²] %3D d. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²]
- Suppose a 10-year, $1,000 bond with a(n) 11% coupon rate and semiannual coupons is trading for a price of $970.75. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9% APR, what will the bond's price be?A mortgage broker is offering a 20-year $185,900 mortgage. The borrower makes monthly payments on a 4.2 percent APR interest rate. What are the monthly payments? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Monthly paymentTrue or False 1. The future worth of a perpetuity from one (1) to n years is undefined because as n approaches infinity, the valuebecomes 0. 2. Perpetuity is derived from the fact that the number of compounding periods approaches to infinity while the nominal interest rate approaches to 0. This then lumps the expression into e.