Calculate the single risk premium (to the nearest whole number) to be charged today on an insurance product that pays claims of $30,000 in 5 years from today, $50,000 in 10 years from today, and $70,000 in 15 years from today. Use an interest rate of 8% per annum.
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Calculate the single risk premium (to the nearest whole number) to be charged today on an insurance product that pays claims of $30,000 in 5 years from today, $50,000 in 10 years from today, and $70,000 in 15 years from today. Use an interest rate of 8% per annum.
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- You may purchase an annuity that will pay you 300000 in income per year starting one year from now and continuing for a total 22 years, or 22 payments. Assuming an annual risk-free interest rate of 4%, what is a fair price for this annuity?You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityIf the interest rate is 15%, what is the present value ofa security that pays you $1,100 next year, $1,250 theyear after, and $1,347 the year after that?
- You are given the following term structure of spot interest rates: ri = 6.25%, r4 5.00%, r2 = 6.50%. A three-year annuity-immediate will be issued a year from 5.75%, r3 now with annual payments of 5000. Using the forward rates, calculate the present value of this annuity a year from now.Given the following information, calculate the rate of return. price = $501.88time to maturity = 10 yearsannual payment = $100type = ordinary annuityYou have RM 5,000.00 you want to invest for the next 45 years until retirement. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.a) Explain the time value of money principleb) Identify the underlying assumption of the time value of money principlec) Draw a graph that illustrates the relationship between interest rates and the present value of RM 1,000.00 to be received in one year.d) Suggest how you can minimize the amount of cash you must invest in order to reach your retirement goal.e) Compute the amount you will have at the end of the 45 years.f) Calculate the amount you would have if the investment plan pays 10 percent for the first 15 years and 6 percent per year for the next 30 years.
- Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $900 per month for 20 years, if the account earns 2% per year PV = $ Need Help? Read It Watch ItFind the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) PV = $ $300 per month for 10 years, if the account earns 2% per year and if there is to be $10,000 left in the annuity at the end of the 10 years X Need Help? Read It Watch ItDerive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.
- Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $200 per month for 15 years, if the account earns 7% per year and if there is to be $10,000 left in the annuity at the end of the 15 years PV = $ Need Help? Read It Watch ItConsider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…You may purchase an annuity that will pay you ¥300,000 in income per year starting one year from now and continuing for a total of 22 years, or 22 payments. Assuming an annual risk-free interest rate of 4%. What is a fair price for this annuity? Round your answer to the nearest yen