Answer:
A- 99,817.75 dollars
B-701,686.93 dollars
C- implicit interest rate 8%
Explanation:
A.- we need to calculate the present value of an annuity of 25,000 for 5 years discounted at 8%:
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C 25,000
time 5
rate 0.08
[tex]25000 \times \frac{1-(1+0.08)^{-5} }{0.08} = PV\\[/tex]
PV 99,817.7509
B.- we discount the coupon payment and maturity at 10% market rate
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
Coupon payment: 800,000 x 8%= 64,000
time: 10 years
rate 10% = 0.1
[tex]64000 \times \frac{1-(1+0.1)^{-10} }{0.1} = PV\\[/tex]
PV $393,252.2948
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 800,000.00
time 10 years
rate 0.1
[tex]\frac{800000}{(1 + 0.1)^{10} } = PV[/tex]
PV 308,434.63
PV copupon payment: $393,252.2948
PV maturity: $308,434.6315
Total $701,686.9263
C we solve for the IRR using the excel IRR function:
we list the cashflows of the lease:
year 0 39,927
year 1 -10,000
year 2 -10,000
year 3 -10,000
year 4 -10,000
year 5 -10,000
we write: =IRR( and select the cell on which we list the cash flow and press enter
IRR = 0.08 = 8%