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I(1) Given the force of interest 8(t) = 413 + , find the accumulation function a(t).
The force of interest delta(t) is given by ln(1.5) for all non-negative t. Find the accumulation function at 4, a(4). A. 5.0625 B. 6.7420 C. 5.2432 D. The correct answer does not appear here E. 4.0625
3. Given an amount function A(t)23t +4, t0, t in years, find the following: (a) The effective rate of interest in year 2. (b) The effective rate of discount in the 4th year (c) The corresponding accumulation function (d) I the amount of interest in the nth year.
Given a desired Future Worth accumulation, F = $16,000, an interest rate, i=5%, and a time period, n=7 years, calculate the unknown Present Worth of the single deposit, P=? Please show all work and formulas.
5. Assuming that net investment at time t is given by I(t)-4to078, find the change in the capital stock (Capital is accumulation of investment over time) during the time interval [0,3], [1,2] and [0,5]. If the capital stock is 25 when t-0, find the capital stock at each time t-0. (Hint: Use integral to find the capital stock) 6. The demand tunction for a good supplied by a monopolist is: (500-PVp-x, 0<p<500 The cost of producing x units of output...
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3. A term structure is defined by the following accumulation function: p0.03t at) = 60.06+0.0025(1++)2, for 0) < t < 5, for t > 5. If a 10-year bond makes level coupon payments at year 2, 4, 6, 8 and 10. Find the par yield of this bond.
Assume that u(x + 1) = h and the force of interest is 8 for all t 2 0. r = {Tzn, Jay Ost<n display the formula for the distribution function of Y.
Area accumulation functions an introduction Given a function f(r), we create a new function F) by evaluating how much area is accumalated under f(x) 1. Example (a) Define F(f(t) dt. Evaluate the following: F(0) = F(2) F(-1) (b) Shade in and find the area represented by F(3) - F(1). (c) Find a formula for F(r) between0 and 1 (d) Give two values at which Fr)-0. (Hint: assume the graph continues to the right.) (e) Which is larger: F(3) or F(4)?...
pus) Let ALT) = 3 + 2t + 800. Find the force of interest at time t = 3. find the present value at time 0 of $300 4. (3pts) Given that the force of interest is 8 = to be paid at time t = 4. oto) Inflation in
You are given the amount function, A(t)=10⋅(1.06)^t, where t is the number of years. Let i^(4) be the nominal effective interest rate compounded quarterly, d^(12) be the nominal discount rate compounded monthly and δ be the annual constant force of interest. Calculate 10i(4)+20d(12)+30δ. A.1.99 B.2.43 C.2.89 D.3.00 E.3.50
Given the following function F(s) find f(t) F(8) = 8 +1 s(s+2)(+3)