Solve the problem using the given formula: FUTURE F = A A = F P = A [(1 + i)" PRESENT [1 − A = P ( [(1 + i)* − 1] (1+)") t [1 − (1 + i)"] ANNUITY DUE [(1 + ()-1-1) P=A i(1+)-1 [(1+1)+¹- F=A +A PERPETUITY P=4 -A DEFFERED ANNUITY [1+(1+1) Po=A (1 + i)-n A coffee maker set is offered for sale for P 15 000 down payment and P 1 500 every 3 months for the balance for 15 months. If interest is to be computed at 10% compounded quarterly. What is the cash price equivalent of the set?
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- For each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factors" to 4 decimal places.)a. You need to accumulate $20,000 for a trip you wish to take in five years. You are able to earn 10% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for five years. How would you determine the amount of the one-time deposit?b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit?1. You want to retire after working 40 years with savings in excess of $1,000,000. You expect to save $4,000 a year for 40 years…Use the compound interest formula A = P(1 + r)' and the given information to solve for t. 201 A= $42.000, P= $28,000. r= 7% T=?Tasks/ calculation these questions are :- by 6 functions are : 1. Accumulative (future) money value 1/ Simple interest FV=PV*(1+* ? *N) 2/ Aggregate interest FV=PV (1+ ? )N 2. Present money value PV = FV * ^note N- total times of getting income^ R= ?????? ??? / N n- frequency of income generation per year 3. Present payment value PV = PMT * 4. Future payment value (PMT) FV = PMT * 5. Amortization payment PMT = PV * 6. Solatium fond factor (SFF) PMT = FV * Q1/ The investor wants to invest in the purchase of an office building. He suggests he can rent it out for 10 years at an annual rent of 1,850,000. At the end of the tenth year it is expected to sell the company for 18 million d.e. Income rate 20% What is the current value of the building?
- Annuity A and B are exactly the same except that annuity A has 5 payments and annuity B has 7 payments, which one has the higher future value? Select one: a. B b. A=B c. Aexpress the future value A(t) of 1,000 in terms of t.Need answer ASAP... Single-payment compound amount factor is the conversion factor that, when multiplied by F, yields the present amount P of future amount F after n years at interest rate i. a. The above statement is factual b. The above statement is misleading c. The above statement is incomplete d. All of the above
- Annuity A and B are exactly the same except that annuity A has an interest rate of 4% and annuity B has an interest rate of 5%, which one has the higher future value? Select one: a. B b. A=B c. A1. What is the value of ROR (i*) for the following equation?O= -20,000 + (29,000 - 21,000) (P/A, i*,4)A. 20%B. 21%C. 9%D. 23%If annuity A has 30 payments of $500 at an interest rate of 10% and annuity B has 30 payments of $500 at an interest rate of 9%, which one has the higher present value? Select one: a. Not enough information to determine. b. B c. A
- (b) Find the present value of an annuity-immediate such that payments start at 1, increase by annual amounts of 1 to a payment of , and the decrease by annual amounts of 1 to a final payment of 1.The force of interest is given by: ?(?) = {0.08 − 0.001? 0 ≤ ? < 30.025? − 0.04 3 ≤ ? < 50.03 ? ≥ 5Calculate the present value at time 2 of a payment of £1,000 at time 10.Prove: FVA of an Ordinary Annuity times (1+i) = FVA of an Annuity Due, where i= interest rate. SHow all work