Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please teach me how to do these questions and show wht you did with the calculat

ID: 2713419 • Letter: P

Question

Please teach me how to do these questions and show wht you did with the calculator because I'm not sure if I'm doing it correctly on the calculator.

Show your work for the questions (except IRR & NPV). For example, for question1a, you should show the following as your work/steps: PV=$800, I=6%, N=1, so FV= (your calculation).

1. Find the following values for a lump sum assuming annual compounding:

a. The future value of $800 invested at 6 percent for one year

b. The future value of $800 invested at 6 percent for five years

c. The present value of $800 to be received in one year when the opportunity cost rate is 6 percent

d. The present value of $800 to be received in five years when the opportunity cost rate is 6 percent

1. Find the following values for a lump sum assuming annual compounding:

a. The future value of $800 invested at 6 percent for one year

b. The future value of $800 invested at 6 percent for five years

c. The present value of $800 to be received in one year when the opportunity cost rate is 6 percent

d. The present value of $800 to be received in five years when the opportunity cost rate is 6 percent

Explanation / Answer

Answer (a)

FV =$ 848

Investment PV = $ 800

Period n = 1 year

Rate of interest r = 6% or 6/100 = 0.06

FV = P * (1+r)^n

FV = 800 * (1+0.06)^1 = 800 * 1.06 = $ 848

Answer (b)

FV = $1,070.58

Investment PV = $ 800

Period n = 5 years

Rate of interest r = 6% or 6/100 = 0.06

FV = PV * (1+r)^n

FV = 800 * (1+0.06)^5 = 800 * 1.06^5 = 800 * 1.3382255776

       = $ 1070.58046 or $ 1070.58 (rounded off)

  

Answer (c)

Present Value =$ 754.72

Amount to be received after 1 year FV = $ 800

Period n = 1 year

Discount rate or opportunity cost r = 6% or 0.06

Present Value PV =   FV / (1+r)^n   = $ 800/(1+0.06)^1 = $ 800 /1.06

                                 = $ 754.7169 or $ 754.72 (rounded off)

Answer (d)

PV = $ 597.81

Amount to be received after 1 year FV = $ 800

Period n = 5 years

Discount rate or opportunity cost r = 6% or 0.06

Present Value PV =   FV / (1+r)^n   = $ 800/(1+0.06)^5 = $ 800 /1.06^5

                                 = $ 800 /1.3382255776 = $ 597.8065 or $ 597.81 (rounded off)