A retirement benefit has monthly payments for 25 years starting one month after retirement. For the first year, the amount of cach monthly payment is 1800. For esch subsequent year, the monthly payments. are 2% more than the monthly payments from the previous year. Using an annual nominal interest rate of 6%, compounded quarterly, find the present value of this benefit.

Q: A company wants to have $50,000 at the beginning of each 6-month period for the next 4.5 years. If…

A: Final amount = $50,000Time = 4.5 years Rate = 6.23% compounded semi-annually

Q: The following terms of payment for an annuity are as follows: Periodic payment = P20,000 Payment…

A: Periodic payment = 20,000 Interest Rate = 18%/12 = 1.5% per month N = 15 years i.e. 180 months…

Q: Find the final amount in the following retirement account, in which the rate of return on the…

A: Future value is the estimated value of current assets that is discounted at an assumed rate of…

Q: Prepare a time diagram for the present value of a four-year annuity due of $200. Assume an interest…

A:

Q: The compounding periods and the payment periods are the same for an annuity and for an amortization.…

A: Present value of annuity:The present value of an annuity refers to the current worth of a series of…

Q: An annuity-immediate has payments of $400, $600, $100 at the end of year for three years. Determine…

A: Convexity means a change in prices due to a change in interest rates. It is used by analysts for…

Q: An annuity due has four payments, $2000 each. What's the present value of the annuity due at a 6%…

A: Annuity due is that annuity in which payments are made at the start of each period. This is in…

Q: Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of…

A: Annuity refers to a stream of constant and usually fixed cash flows. Here the annual amount of $6200…

Q: Find the future value of the annuity due. Payments of $600 per quarter for 6 years at 6% compounded…

A: STEP 1 Annuity Due An approach to determine how much money a series of payments will be worth at…

Q: The present value of an annuity is 16,950. Quarterly payments of 369 are made from 16,950 that is…

A: Present value of annuity (PV) = 16950 Quarterly payment (C) = 369 Annual interest rate = 4%…

Q: The annual discount rate is 7.70%. a. What is the present value of a perpetuity that pays 2,000 at…

A: Perpetuity is a situation where a stream of Cashflow payments continues indefinitely or is an…

Q: A payment of $500 is made at the end of each month for three years to a savings account. The…

A: Present value method is used to evaluate the different level of investment projects. With the help…

Q: Find the future value of the annuity due. Payments of $700 per quarter for 6 years at 5% compounded…

A: Annuity refers to a periodic stream of cash flow occurring in each period (be it a month or a…

Q: Find the present value of a deferred annuity of P760 every six months for 5 years that is deferred 3…

A: When stream of cash flows or annuities are expected to be received or paid over a later date, it is…

Q: Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of…

A: Present Value (PV) is a financial concept used to determine the current worth of a future sum of…

Q: Find the present value of the ordinary annuity. (Round your answer to the nearest cent.)…

A: Present value of the ordinary annuity can be calculated by annuity amount multiply with Present…

Q: if the money is worth 6% compounded semi-annually, find the present value and the amount of annuity…

A: Annuity refers to series of equalized payments that either made at start or end of specific interval…

Q: The annually compounded discount rate is 7.0%. You are asked to calculate the present value of a…

A: Decisions can take risk and uncertainty into account when using present value. Greater uncertainty…

Q: Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of…

A: Annual interest rate = 12%Period = 5 yearsAnnual amount = $3200To find: PV of annuity when payments…

Q: Consider a perpetuity that pays 100 at the end of each year for the first 10 years and 50 at the end…

A: Perpetuity is series of cash flows which happens at a periodic interval till perpetuity

Q: Find the present value of a fifteen year ordinary annuity that pays $1,340 monthly if the interest…

A: The PV of the annuity is the present worth of the constant amount that has to paid or received in…

Q: What is present value of annuity A

A: First payment = $1000Period = 20 yearsIncrement = 3%Interest rate = 5%

Q: Find the future value of the following annuity due. Payments of $900 for 2 years at 4% compounded…

A: Annuity Due Periodic Payment = 900 N = 2 Nominal Rate of return = 4% Compounding periods = 2

Q: The present value of a 10-year annuity immediate is 10,000$. The interest rate is j1=5% for the…

A: The interest rate changes over the lifespan of the annuity. We have the present value. We need the…

Q: A 20-year annuity pays $1,500 monthly, and payments are made at the end of each month. If the…

A: Monthly payments = $1500Period = 20 yearsInterest rate :First 10 years = 6.25%Next 10 years = 5.50%

Q: An insurance policy provides a benefit of $21,500 twenty two years from now. Alternatively, the…

A: Amount to received after 22 years 21,500 Payment per year is $590

Q: Find the present value of deferred annuity of P 900 every 3 months for 5 years that is deferred 3…

A: Deferred annuity is a series of payments which starts after a certain period of time called…

Q: A company wants to have $50,000 at the beginning of each 6-month period for the next 4+1/2 years. If…

A: Final amount = $50,000Time = 4.5 years Rate = 6.23% compounded semi-annually

Q: 4. A new bridge connecting Tuguegarao and Solana with a 100 year life is expected to have an initial…

A: given information  expected life = 100 years initial cost = 20 million bride must be resurfaced…

Q: Find the future value of the annuity due. Payments of $500 per quarter for 3 years at 7% compounded…

A: FV = Future value? C = Quarterly cash flow i.e. $500 r = Quarterly Interest rate i.e. 0.0175 (0.07 /…

Q: Given an effective annual rate of interest of 3%, find the PV of the following 25-year…

A: An annuity payment is a series of cash flows that involve fixed amount payments occurring at equal…

Q: Calculate the present value of a 30-year annuity with annual payments which pays an initial payment…

A: Computation:

Q: An annuity providing a rate of return of 6.4% compounded monthly was purchased for $61,000. The…

A: An Annuity is a payment made regularly for a fixed period of time at a fixed interest rate. This is…

Q: An annual annuity-immediate pays $2000 at the end of the first year. The last payment is at the end…

A: The present value is the present worth of the amount that will be paid or received at future.

Q: The effective rate of interest is 6% per annum. Calculate the value at the start of the payment…

A: concept. Future cash flows are discounted to present value using discounting  rate of return. this…

Q: What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $3,000 at…

A: PV is the present value of the annuity,PMT is the payment made at each period (in this case,…

Q: Determine the present value of an annuity due of $5,000 per year for 15 years discounted back to the…

A: Using excel PV function

Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.