An investment in consol bonds promises to provide an interest payment of $2.5 million a year in perpetuity. If the interest rate is 3.3%, what is the value of this investment?
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- Explain the nature of the potential lending losses associated with each of the following: default risk, liquidity risk, and maturity risk. What would you pay for an annuity paying $3,000 per year for 12 years if the interest rate is 10%?Your liabilities consist of a payment of $5 million coming due in two years and a payment of $4 million coming due in three years. The market interest rate is 2%. What are the duration and convexity of your liabilities? O 2.71 and 7.64 O 2.80 and 9.17 O 2.21 and 5.39 O 2.44 and 6.20Assume annual mortgage payments of $12,000 for 30 years and an interest rate of 6.168% per year. What initial principal or PW will this repay?
- Consider a GNMA mortgage pool with principal of $50 million. The maturity is 30 years with a monthly mortgage payment of 13 percent per annum. Assume no prepayments. a) What is the monthly mortgage payment (100 percent amortizing) on the pool of mortgages? b)If the GNMA insurance fee is 5 basis points and the servicing fee is 45 basis points, what is the yield on the GNMA pass‑through? c) What is the monthly payment on the GNMA in part (b)? d)Calculate the first monthly servicing fee paid to the originating FIs. e) Calculate the first monthly insurance fee paid to GNMA.A zera coupon bond with promised payment of $100 to be paid in 5 years has price equal to$80. What is the YTM?How much should an investor pay for an investment that pays an interest rate of 10% in form of end-of-year payments of $100.00 and $3,000.00 at maturity after 4 years?
- GCB has offered to grant you GHC50,000 loan with an annual interest of 24% compounded monthly to buy a house, What would be the monthly payment on the loan if the mortgage would be fully amortized in 20 years? b) Find the future and present value of a 5 year GHC1,000.00 annuity if the rate of interest is 12% and the first monthly payment is made now. c) Dividend of a share is forecasted to grow -6% next year, grow super-normally at 30% the next 3 years, and at a constant rate of 7.5% thereafter. What is the value of the stock in question if dividend paid this year is GHC4.50share and the required return is 13%. d) Calkulate the value of a 10-year, 10% S1,00.00 semisannual coupon bond if the prevailing market interest rate is 8%.Suppose that the constant and perpetual cash flow is $1,000 and the discount rate is 10%. What is the value of this perpetuity? 5-year bond with a coupon rate of 4% has a face value of $1000. What is the annual interest payment?What would you pay for an investment that pays you $4300000 after twenty years? Assume that the relevant interest rate for this type of investment is 6%.
- Suppose that an annuity will provide for 20 annual payments of 1240 dollars, with the first payment coming 9 years from now. If the nominal rate of interest is 8.8 percent convertible monthly, what is the present value of the annuity? Answer= dollarsConsider a GNMA mortgage pool with principal of $20 million. The maturity is 30 years with a monthly mortgage payment of 10 percent per year. Assume no prepayments. What is the monthly mortgage payment (100 percent amortizing) on the pool of mortgages? If the GNMA insurance fee is 6 basis points and the servicing fee is 44 basis points, what is the yield on the GNMA pass-through and the monthly payments?Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)