Hello
I am well proficient in time value of money calculations and I can assure you of timely delivery and correct solution to your problem set.
I have solved Q1 a,b,c and d and Q2 a for your reference
Q1 (a)
FV = 3,000
n = 60
i = 5.5% p.a. = 0.055
PV = ?
Assuming 30/360 day count
PV = FV / (1+i*n/360)
PV = 3,000 / (1+0.055*60/360)
PV = 3,000 / (1+0.0091666666666667)
PV = 3,000 / (1.0091666666666667)
PV = $2,972.75
Assuming 30/365 day count
PV = FV / (1+i*n/365)
PV = 3,000 / (1+0.055*60/365)
PV = 3,000 / (1+0.009041095890411)
PV = $2,973.12
Q1. (b)
FV = 100,000
n = 120
i = 5% p.a. = 0.05
PV = ?
PV = 100,000 / (1+0.05*120/360)
PV = 100,000 / (1+0.0166666666666667)
PV = 100,000 / (1.0166666666666667)
PV = 98,360.66
Price 50 days before maturity
Fv = ?
n = 120-50 = 70
i = 5% p.a. = 0.05
PV = 98,360.66
FV = PV * (1+i*n/360)
FV = 98,360.66 * (1+0.05*70/360)
FV = 98,360.66 * (1+0.0097222222222222)
FV = 98,360.66 * (1.0097222222222222)
FV = $99,316.94
Q1. (c)
FV = 100,000
PV = 98,600
n = 90
i = ?
i = (FV/PV - 1)*360/n
i = (100,000/98,600 - 1)*360/90
i = (1.01419878296146 - 1)*360/90
i = (0.01419878296146)*360/90
i = 5.111561866125761/90
i = 0.0567951318458418
i = 5.68%
i = 0.0567951318458418
Q1. (d)
FV = 99,000
PV = 98,600
n = 35
i = ?
i = (FV/PV - 1)*360/n
i = (99,000/98,600 - 1)*360/35
i = (1.004056795131846 - 1)*360/35
i = (0.004056795131846)*360/35
i = 1.460446247464503/35
i = 0.0417270356418429
i = 4.17%
I can offer the remaining solutions