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- b1. F = Pert , which assumes continuous compounding, says that the Future value (F) of an amount (P) invested today at an annual rate (r), expressed as a decimal for the time (t), in years is given by the function. Thus if you invested $100 at the annual rate of 5 1/2% for 6 years and 3 months you would get back (at the end of the time), F = $100e(0.055)(6.25) = $100e(0.3438) = $100(1.4102) = $141.02. If you invest $15000 today, what amount does the formula say you will get back if you leave it for 5 years and 3 months in a savings account paying 4 1/2% annually?Use the present value table to complete: (Round the "PV factor" to 4 decimal places and final answer to the nearest cent.) Future Amount Desired Length of Time Rate Compounded Table Period Rate Used P.V. Factor P.V. Amount $11,000 6 yrs 12% quarterly %1. two sources of income with equal present valuec C at time 0 provide annual payents in arrears during 10 years. The first product, i.e. Product 1, pays 50,000 - 2,000k, where k is measured in years, and the second product pays a constant annual amount of b. The present vaues are calculated using a force of interest of delta(t) = 0.05 - 0.002t, where t is measured in years. derive a general expression for the pv of each income stream in function of k, C, and b and without integrals.
- 15. Compute the equivalent future value of a series of yearly payments of P 8,000 if thesinking factor value is 0.0612.Y2 Aportfolio manager states that the return for the period is 5.34 per cent by using the following annual rates of returm Year. Return 1. 6% 2 -37% 3. 27% What type of rate of return (HPR AM or GM) said by the manager and why?Hh1. Account What nominal rate per week is equivalent to an effective rate of 10.5% per year, compounded continuously?
- Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 1YR USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)Kk201. An asset produces $150 in two years, and $250 in four years, and the current price has been calculated toreflect a rate of return of 9% annually. Using the definition that convexity = second derivative of pricedivided by price, find the convexity of this asset evaluated at the annual yield rate of 9%.For my previous question: Yield to Maturity for 2 years Maturity and price is $92.45. Formula is PV = Face Value/(1 + YTM)^time. 92.45 = 100/(1 + YTM)^2. Your answer said 1.0817 = (1 + YTM)^2 is 1.04003 = 1 + YTM. What did you do to get 1.04003?
- Complete the following using present value. Amount desired $8,900, Time 4 years, Rate 6%, Compounded monthly. What is the period used? What is the rate? What PV factor is used? What is the PV of amount desired at end of period?Which alternative offers you the lowest effective rate of return? APR Compounding a. 6.9030% Annual b. 6.6992% Daily c. 6.7787% Quarterly d. 6.7643% Monthly1. (See image), which assumes continuous compounding, says that the Future value (F) of an amount (P) invested today at an annual rate (r), expressed as a decimal for the time (t), in years is given by the function. Thus if you invested $100 now at the annual rate of 5 1/2% for 6 years and 3 months you would get back (at the end of the time), F = $100e^(0.055)^(6.25) = $100e^(0.3438) = $100(1.4102) = $141.02. Suppose you put $2000 in a savings account when your son was born for 18 years and 6 months to help pay for his college education. If you can earn 3% annually on it, what should you have in his education savings account in 18 years and 6 months?